The answers are a) standard deviation ≈ 0.02 b) probability ≈ 0.95 c) standard deviation ≈ 0.031 d) probability ≈ 0.8098 e) decrease in P = 0.1402
Given: p = 75% or 0.75
n = 450
a) The sampling distribution of the sample proportion is approximately normal with mean = 0.75 and standard deviation is [tex]\sqrt \frac{p(1-p)}{n}[/tex]
= [tex]\sqrt{\frac{0.75(1-0.75)}{450} }[/tex] = 0.02
b) [tex]\^{p} - p[/tex] = 0.04
[tex]z = \frac{\^{p} - p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
z = ±1.96(approx.)
p(-0.04 < [tex]\^{p} - p[/tex] < 0.04)
=P(-1.96 < z < 1.96) = 1 - 2P(z < -1.96)
= 1 - 2(0.0250) = 0.95
c) The sampling distribution of the sample proportion is approximately normal with mean = 0.75 and standard deviation [tex]\sqrt \frac{p(1-p)}{n}[/tex]
= [tex]\sqrt{\frac{0.75(1-0.75)}{200} }[/tex] = 0.031
d) [tex]\^{p} - p[/tex] = 0.04
[tex]z = \frac{\^{p} - p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
z = ±1.31(approx.)
p(-0.04 < [tex]\^{p} - p[/tex] < 0.04)
=P(-1.31 < z < 1.31) = 1 - 2P(z < -1.31)
= 1 - 2(0.0951) = 0.8098
e) Determine the difference in probabilities (of part b) and part d))
The loss in precision by decreasing the sample size 0.9500 - 0.8098 = 0.1402
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Complete question is:
In 2008 the Better Business Bureau settled 75% of complaints they received. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is 0.75, the same as the overall proportion of complaints settled in 2008. a) Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of [tex]\overline{p}[/tex].b) Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion? c) Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of [tex]\overline{p}[/tex] . d) Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion? e) As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (b)?
What is the source of this graph?
Answer:
to help navigate the answer
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.9x²-180x+20,985. How many machines must be made to
minimize the unit cost?
Do not round your answer.
Number of X-ray machines:
The company must make 100 X-ray machines to minimize the unit cost.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
To minimize the unit cost, we need to find the value of x that minimizes the function C(x) = 0.9x² - 180x + 20985.
We can start by taking the derivative of C(x) with respect to x and setting it equal to zero:
C'(x) = 1.8x - 180 = 0
Solving for x, we get:
x = 100
Therefore, the company must make 100 X-ray machines to minimize the unit cost.
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Which answer choice below is equivalent to 50(1+0.15)" ?
A (50.15)*
B 50 (1.15)
c) None of the above
D (57.5)
E (50+ 50.15)*
F) All of the above
The answer choices 50(1.15) and 57.5 below are equivalent to 50(1+0.15)
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).
50(1+0.15)
Add the numbers
= 50(1.15)
Multiply the numbers
= 57.5
The answer choices 50(1.15) and 57.5 below are equivalent to 50(1+0.15)
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can someone help it’s due today
Answer:
x = 3
Step-by-step explanation:
Take the first equation- x + 2y = (-1)
Multiply both sides by 2
2(x + 2y) = 2(-1)
2x + 4y = -2
Add first and second equations
(2x + 4y = -2)
+(4x -4y = 20)
= 6x = 18
x = 18/6
x= 3
Extra info- This method is also called as Elimination method in which Elimination (whether by addition of equations or subtraction) of any variable is done.
Hope it helps
Which of the following is equivalent to the fraction above?
OA. 13
-7
OB. 7
13
OC. -13
-7
OD. 3
-13
-(13)
The Equivalent Fraction of -117 / 63 is -13/7.
What is Equivalent Fraction?The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.
A rule that says the outcome of multiplying the numerator and denominator of a fraction by the same nonzero number is a fraction equal to the original fraction.
Given:
We have the Fraction -117 / 63
As, Equivalent fraction can have different numerators but the denominators should be necessarily same.
Now, simplifying the fraction
= -117/ 63
= - (13 x 9) / (7 x 9)
= -13 / 7
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the superstone patio company designed these patios.Calculate the area of each. Determine the total cost of each at 23 dollars / m
1.
2.
1. The area of the marble is 6.6m² and the cost is
$3491.4
2. The area of the marble is 42.84m² and the cost is $22662.36
What is area?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
1. The area of the marble is
A=( 3.7 × 1.2 ) + 0.9 × 2.4
A= 4.44 + 2.16
A= 6.6m²
if the cost is 23 dollars /meter
per meter square = 23² = $ 529 / meter square
1 meter square = 529
6.6 meter square = 529 × 6.6 = $3491.4
2. The area of the marble is obtained by cutting it into rectangle and trapezium
A= ½(8.8+4.8) 3.9 + 4.8 × 3.4
A= ½(13.6× 3.9) + 16.32
A= 26.52+ 16.32
A= 42.84 m²
The cost will be 529 × 42.84
= $22662.36
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What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14. cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.8 feet and a height labeled 4.2 feet
10.39 cubic feet
25.85 cubic feet
36.93 cubic feet
73.85 cubic feet
Answer:
25.85 cubic feet
Step-by-step explanation:
Volume of a cylinder is
Base Area • height
The Base Area of a cylinder is a circle. The area of a circle is pi•r^2.
Vol = pi•r^2•h
They gave the diameter of the circle as 2.8, so the radius is half of that.
r = 1.4
The height was given
h = 4.2
Fill in radius and height and 3.14 for pi. Square the radius and then multiply everything.
see image.
Round to two decimal places.
hi i just did the test and the answer is 25.85 cubic feet
and it was correct btw other person deserves brainly have a nice day!
The number of calories consumed during a snack varies directly with the number of chocolates eaten. If Jodi eats 2 chocolates, she will consume 72 calories. How many calories will she consume if she eats 5 chocolates.
The required Jodi will consume 180 calories if she eats 5 chocolates.
What is directly Proportional?When two quantities are directly proportional, it indicates that if one increases by a specific percentage, the other also increases by the same percentage. As gas costs increase, the cost of food may as well as well.
According to question:We can use proportionality to solve this problem. Since the number of calories consumed varies directly with the number of chocolates eaten, we can write:
calories consumed / chocolates eaten = constant
Let's call this constant k. We can solve for k using the information given:
72 calories / 2 chocolates = k
k = 36 calories/chocolate
Now we can use this constant to find the number of calories Jodi will consume if she eats 5 chocolates:
calories consumed / chocolates eaten = k
calories consumed / 5 chocolates = 36 calories/chocolate
calories consumed = 5 chocolates * 36 calories/chocolate
calories consumed = 180 calories
Therefore, Jodi will consume 180 calories if she eats 5 chocolates.
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Two sides of a triangle have lengths 3 cm and 8 cm respectively. The third side has a length of x cm, where x is an integer. Write down an inequality that must be satisfied by x
======================================================
Explanation:
Let's label the sides of the triangle a, b, and c.
Furthermore, let's have 'a' & b represent known sides and [tex]b \ge a[/tex] be the case. For a triangle to be possible, the missing side c must have these restrictions placed on it:
b-a < c < b+a
This inequality is valid because of a modification to the Triangle Inequality Theorem. I'll leave the proof to the reader.
-------
In this case we have a = 3 and b = 8 which lead to...
b-a < c < b+a
8-3 < x < 8+3
5 < x < 11
The third side is between 5 and 11, excluding both endpoints. We cannot have x = 5. Furthermore, we cannot have x = 11 either. If x were either of those endpoints, then we'd form a straight line rather than a triangle.
Having x be an integer leads to the roster set notation {6,7,8,9,10} to represent all possible values of x. For instance, we could have a triangle with side lengths 3, 8, and 6. I recommend getting slips of paper of these lengths to try it out yourself. Or you can use software such as GeoGebra to see why this works.
Please help me!
A spinner and a fair number cube are used in a game. The spinner has an equal chance of landing on 1 of 6 colors: red, purple, blue, green, white, or orange. The faces of the cube are labeled 1 through 6. What is the probability of a player spinning the color green and then rolling an even number?
The probability of spinning green and then rolling an even number is 1/36
What is Probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
The probability of spinning green is 1/6 because there are 6 equally likely outcomes and 1 of them is green.
The probability of rolling an even number is 3/6 because there are 6 equally likely outcomes and 3 of them are even numbers (2, 4, and 6).
The probability of spinning green and then rolling an even number is the product of the probabilities of each event. To find this, we multiply the probability of spinning green (1/6) by the probability of rolling an even number (3/6):
(1/6) * (3/6) = 1/36
So, the probability of spinning green and then rolling an even number is 1/36.
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Consider the following three events for college students:
A={A student is female.}
B={A student has financial aid.}
C={A student finishes his/her undergraduate degree in four years.}
Use symbols to describe the event that a college student is female or has financial aid.
The probability of a college student being either female or having financial aid can be expressed as P(A ∪ B) = P(A) + P(B).
What is Probability?
Probability is a mathematical concept used to measure the likelihood of a particular event occurring. It is a way of expressing the chance or possibility of an event happening, ranging from 0 (impossible) to 1 (certain).
In probability theory, an event is a subset of the possible outcomes of an experiment or a random process. Probability can be expressed in terms of fractions, percentages, or decimals.
The symbol for the event that a college student is female is A, as given in the statement. The symbol for the event that a college student has financial aid is B, as given in the statement.
So, A={A student is female} and B={A student has financial aid}.
These events are mutually exclusive because one does not necessarily affect the other. For example, a male student can have financial aid and a female student may not have financial aid. Hence, the occurrence of one event does not influence the occurrence of the other event.
Therefore, the probability of a college student being either female or having financial aid can be represented as the union of the events A and B. It can be denoted as P(A ∪ B) and is calculated as:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Where P(A ∩ B) represents the probability of a student having both characteristics, i.e., being female and having financial aid.
However, as these events are mutually exclusive, P(A ∩ B) = 0. So the probability of a college student being either female or having financial aid is simply the sum of their individual probabilities:
P(A ∪ B) = P(A) + P(B) - 0
P(A ∪ B) = P(A) + P(B)
Hence, the probability of a college student being either female or having financial aid can be expressed as P(A ∪ B) = P(A) + P(B).
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Find the center of the circle and the radius by completing the square. x2+y2−4y−8x+3=0
The radius of the circle is √17.
The center of the circle is (4, 2).
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
The equation of a circle with radius r and center (h, k) is
(x - h)² + (y - k)² = r²
Now,
x² + y² - 4 y - 8x + 3 = 0
x² - 8x + y² - 4y + 3 = 0
x² - 8x + 4² - 4² + y² - 4y + 2² - 2² + 3 = 0
(x - 4)² + (y - 2)² - 16 - 4 + 3 = 0
(x - 4)² + (y - 2)² = 16 + 4 - 3
(x - 4)² + (y - 2)² = √17
This means,
radius = √17 and center = (4, 2)
Thus,
The radius and center of the circle are √17 and (4, 2).
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Solve for X
This was on a Geometry Honors quiz
You must show all work and explain your strategy (with the reason for each step) to receive full credit!
Using the diagram in the problem angle TQU is solved to be
53.14 degreesHow to find angle TQU
The angle at U is 90 degrees, Using the concept of adjacent angles the three angles at U is solved
Using the trigonometry relations of right triangle we solve for angle PQT'
tan (angle PQT) = 1 / 3
angle PQT = arc tan (1 / 3)
angle PQT = 18.43
angle PQT = angle UQS and
angle PQT + angle UQS + angle TQU = 90 degrees adjacent angles
2 * 18.43 * angle TQU = 90
angle TQU = 90 - 2 * 18.43
angle TQU = 53.14 degrees
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5. Function G takes a student's first name for its input and gives the number of letters in the first name for its
output.
a. Describe the meaning of G(Jada) = 4
b. Find the value of G(Diego) …………..I need helpppp!!
a. Jada is the input and 4 is output, the output is 4 because there are 4 letters in Jada word.
b. G(Diego) =5
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that a Function G takes a student's first name for its input and gives the number of letters in the first name for its output.
a.
Given that G(Jada) = 4
In the above function Jada is the input and 4 is output, the output is 4 because there are 4 letters in Jada word.
b. We need to find the value of G(Diego)
In the above function Diego is the input and 5 will be output, the output is 5 because there are 5 letters in Diego word.
G(Diego) =5
Hence, a. Jada is the input and 4 is output, the output is 4 because there are 4 letters in Jada word.
b. G(Diego) =5
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a jury of 12 people is selected from a pool 30 people that includes 12 men and 18 women. what is the probability that the jury will be composed of 12 women
The probability of selecting a jury composed of 12 women from a pool of 30 people that includes 12 men and 18 women is extremely low, only 0.0657%.
The probability of an event happening is the measure of how likely that event is to occur.
In this case, we need to find the probability of selecting a jury of 12 women from a pool of 30 people. To calculate this probability, we can use the formula:
Probability = Number of favorable outcomes / Total number of outcomes
The total number of outcomes is the number of ways in which we can select 12 people from a pool of 30. We can calculate this number using the combination formula:
Total number of outcomes = C(30,12) = 30! / (12! * (30-12)!) = 28,238,760
Now, we need to calculate the number of favorable outcomes, which is the number of ways in which we can select 12 women from a pool of 18. We can calculate this number using the combination formula as well:
Number of favorable outcomes = C(18,12) = 18! / (12! * (18-12)!) = 18,564
Therefore, the probability of selecting a jury composed of 12 women is:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 18,564 / 28,238,760
Probability = 0.000657 or 0.0657%
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3. Two numbers are in the ratio 2:3. If 3 is added to the numbers, the ratio changes to 3:4. Find the numbers. use linear equation
Using the ratio formula the unknown numbers are found to be 6 and 9.
What is ratio?
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.
The original ratio value is 2 : 3.
Three is added to the ratio.
The new ratio value is 3 : 4.
Let the unknown numbers be 2x and 3x.
The equation will be -
2x + 3 / 3x + 3 = 3/4
Solve the equation -
4(2x + 3) = 3(3x + 3)
8x + 12 = 9x + 9
8x - 9x = 9 - 12
-x = -3
x = 3
Substitute the value of x in the unknown numbers -
2x = 2(3) = 6
3x = 3(3) = 9
Therefore, the numbers are 6 and 9.
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Help please I need this answer
Step-by-step explanation:
We know all angles on a traingle equal 180
We also know one angle is a right angle which is 90
180 - 90 = 90, indicating the other two angles equal 90
[tex](2x - 1) + (3x + 6) = 90[/tex]
Now we will combine the X's and constants
[tex]5x +5 = 90[/tex]
Now to subtract 7
[tex]5x = 85[/tex]
Lastly, divide by 5
[tex]x = 17[/tex]
0.8 divided by 3.49 =?
You have a 6oz container and a 10oz container and a spout with unlimited water how do you measure exactly 8oz
Answer:
firstly, I would fill up the 10-oz glass with juice and use it to fill the 6-oz glass. This would leave me with 4 oz left in the 10-oz glass
Step-by-step explanation:
What is the measure of each angle in a regular 18-gon? If necessary, round your answer to the nearest tenth.
A regular polygon with 18 sides has a central angle that is 20 degrees in size.
What is meant by angle?An angle is a figure created by two rays or lines that have the same termination in plane geometry. The common terminal of the two rays—known as the vertex—is referred to as an angle's sides. Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. It has completed two full rotations if you observe an angle of 720°.A polygon's total number of central angles equals 360 degrees.
As a result, the regular polygon's centre angle has a ratio of 360 to its number of sides. It may be expressed as,
[tex]$C_a=\frac{360}{n}[/tex]
Here, (n) denotes the regular polygon's number of sides.
The polygon in the provided issue has an overall total of 18 sides. Using the method above, it is possible to determine the polygon's centre angle, which has 18 sides. Thus,
[tex]$& C_a=\frac{360}{18} \\[/tex]
[tex]$& C_a=20^{\circ}[/tex]
Therefore, a regular polygon with 18 sides has a central angle that is 20 degrees in size.
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a researcher randomly selects 2 fish from among 8 fish in a tank and puts each of the 2 selected fish into different containers. how many ways can this be done? a) 112 b) 28 c) 56 d) 168 e) 32
There are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers. Hence, the accurate answer is option (b) 28.
To determine the number of ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers, we will use the formula for combinations, which is given by -
nCk = n! / (k!(n-k)!)
where n is the total number of items, k is the number of items to be selected, and ! denotes the factorial function (the product of all positive integers up to a given number).
Here, we are given n = 8 fish and k = 2 fish.
Thus, the number of ways to select and place 2 fish from 8 fish will be -
8C2 = 8! / (2!(8-2)!) = (8 x 7) / (2 x 1) = 28
Therefore, there are 28 ways to randomly select 2 fish from 8 fish and put each of the 2 selected fish into different containers.
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Arjun's piggy bank contains two kinds of coins and two kind of bills. There are twice as many $1 bills as $5 bills. The number of quarters is 1 more than three times the number of $5 bills. And the number of dimes is 7 less than the number of quarters. How many of each type of bill and coin if the total is $39.90
The total number of each type of bill and coin are
$5 bills x 5,
$1 bills x 10,
quarters x 16,
dimes x 9.
What is Equation ?Equations are mathematical expressions with two algebraic expressions flanking the equals (=) sign on either side. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Now in the given question,
$5 bills = x, total = 5x
$1 bills = 2x, total = x
Quarters = 3x + 1, total = 0.25(3x + 1)
Dimes = 3x + 1 - 7= 3x - 6, total = 0.1(3x - 6)
Equation below as the sum, solve for x:
5x + 2x + 0.25(3x + 1) + 0.1(3x - 6) = 39.9
7x + 0.75x + 0.25 + 0.3x - 0.6 = 39.9
8.05x - 0.35 = 39.9
8.05x = 40.25
x = 40.25/8.05
x = 5
Number of each bill and coin:
$5 bills = 5
$1 bills = 2*5 = 10
Quarters = 3*5 + 1 = 16
Dimes = 3*5 - 6 = 9
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Tell whether the point lies on the graph of the line 2x+6y=26
A. (-8,7) YES/NO?
B. (-1,4) YES/NO?
C. (2,5) YES/NO?
D. (4,3) YES/NO?
E. (16,1) YES/NO?
Answer: Yes, No, No, Yes, No
Step-by-step explanation:
I think Graphing is the best way to tackle this. But I prefer algebra:
A) 2(-8) + 6(7) = 26
-16 + 42 = 26
26 = 26
The answer for A is Yes. I wont show work for the others, i think its pretty intuitive, (just substitute the coordinates for x and y, and check if the resulting statement is true)
B. No
C. No
D. Yes
E. No
If you double the down payment what happens to the total cost and payment of the vehicle? What two ways can you lower your monthly payment?
Doubling the down payment reduces the total cost of the vehicle, and increasing the down payment or extending the loan term are two ways to lower the monthly payment.
Let's assume that you're planning to buy a car worth $20,000. The down payment is the initial amount you pay towards the purchase of the car, and it is usually expressed as a percentage of the total cost of the car. Let's assume that the down payment is 10% of the total cost, which means you have to pay $2,000 initially.
If you double the down payment from 10% to 20%, you will have to pay $4,000 initially. This means that the amount you borrow from the bank to buy the car will be reduced. As a result, the total cost of the vehicle will decrease because the interest on the loan will also decrease.
Now, let's move on to ways to lower your monthly payment.
Increase the down payment: As we discussed earlier, making a higher down payment reduces the loan amount, which, in turn, reduces the monthly payment. So, if you can increase the down payment, you can lower the monthly payment.
Increase the loan term: The loan term is the length of time you have to repay the loan. If you extend the loan term, the monthly payment will be lower. However, keep in mind that a longer loan term means you'll end up paying more interest over the life of the loan, which will increase the total cost of the vehicle.
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A family wants to rent a car to go on a vacation. Company A charges $45.50 and 11¢ per mile. Company B charges $65.50 and 17¢ per mile. How much more does Company B charge for x milkes than Company A?
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Answer:
SOLVE IT!
Step-by-step explanation:
A. 45.50+0.11= answer
B. 65.50+0.17= answer
Minus A plus B to get answer!
which type of graph would best display the following data? the number of hours a student spent studying for several tests and the student's grade on each test.
A scatter plot would best display the relationship between the number of hours a student spent studying for several tests and the student's grade on each test.
A scatter plot is a graph that displays the relationship between two continuous variables. In this case, the number of hours a student spent studying is the independent variable, which would be plotted on the x-axis. The student's grade on each test is the dependent variable, which would be plotted on the y-axis. Each data point would represent a single test, with the x-coordinate indicating the number of hours studied for that test and the y-coordinate indicating the grade received.
By using a scatter plot, you can easily identify any patterns or relationships between the number of hours studied and the student's grades on each test. It can also help to identify any outliers or anomalies in the data.
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Kofi says the circumference of a circle equals pi times the diameter. Skyla says that the circumference of a circle equals pi times the radius. Who do you agree with? Explain why? the picture is the real problem
I agree with Kofi that the circumference of a circle equals pi times the diameter. This is because the formula for the circumference of a circle is given by:
C = 2πr
Where C is the circumference, π is pi, and r is the radius of the circle. To find the diameter, we can double the radius, so we can write:
C = 2π(r) = π(2r) = πd
Where d is the diameter of the circle.
So, the formula for the circumference of a circle is indeed pi times the diameter, not just pi times the radius.
What is the length of each leg of a 45-45-90 triangle if the hypotenuse has a length of 4√2?
Answer:
The length of each leg would be 4 units
Step-by-step explanation:
The hypotenuse of a 45-45-90 is √2 times bigger than either side length since they're the same lengths.
Researchers for a company that manufactures batteries want to test the hypothesis that the mean battery life of their new battery is greater than the known mean battery life of their older version. The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. Which of the following is an appropriate test for the researchers’ hypothesis? Responses A one-sample z-test for a population mean A one-sample z -test for a population mean A one-sample t-test for a population mean A one-sample t -test for a population mean A one-sample z-test for a population proportion A one-sample z -test for a population proportion A matched-pairs t-test for a mean difference A matched-pairs t -test for a mean difference A two-sample t-test for a difference between means
Answer:
A one-sample t-test for a population mean is the appropriate test for the researchers' hypothesis. In this case, they want to test the hypothesis that the mean battery life of their new battery is greater than a known mean battery life of their older version. The one-sample t-test allows them to compare the mean of a sample to a known population mean and determine if the difference between them is statistically significant.
