On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.3 and the variance in annual salaries for managers in public accounting firms is approximately 11.3. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses.
Answer:
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]
The alternative hypothesis is [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]
The conclusion is
There is no sufficient evidence to conclude that there is a difference between the variances of salaries for seniors and managers
Step-by-step explanation:
From the question we are told that
The variance for seniors is [tex]s ^2_1 = 2.3[/tex]
The variance for managers is [tex]s ^2_2 = 11.3[/tex]
The first sample size is [tex]n_1 = 25[/tex]
The second sample size is [tex]n_2 = 26[/tex]
The significance level is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]
The alternative hypothesis is [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]
Generally the test statistics is mathematically represented as
[tex]F = \frac{s_1^2}{s_2^2}[/tex]
=> [tex]F = \frac{2.3}{11.3}[/tex]
=> [tex]F = \frac{2.3}{11.3}[/tex]
=> [tex]F = 0.2035[/tex]
Generally the p-value is obtain for the F-distribution table (Reference - Free statistic calculator ) at a degrees of freedom
[tex]df_1 = 25 - 1[/tex]
[tex]df_1 = 24[/tex]
and [tex]df_2 = 26 - 1[/tex]
[tex]df_2 = 25[/tex]
The p- value is
[tex]p-value = f_{0.2035,24,25} = 0.99989[/tex]
So from the calculation we see that
[tex]p-value > \alpha[/tex]
So we fail to reject the null hypothesis
Calvin practiced converting standard notation to scientific notation by completing the 10 problems
in the table shown. Unfortunately, his teacher noticed Calvin made mistakes on 7 out of the 10
problems. Find his mistakes and correct them in the second table below.
STANDARD NOTATION
SCIENTIFIC NOTATION
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 10°
5) 0.024
24 x 10
6) 2,800
2.8 x 10
7) 100
1 x 10
8 0.0000099
9.9 x 10
9 C00,000
9 x 10
10) 0.00635
63.3 x 10
I
Answer/Step-by-step explanation:
The 7 problems Calvin made mistakes in are as follows:
1. 76,450,000
We are moving the decimal point to our left by 7 decimal places. Therefore, the exponent of 10 should be 7 not 8.
The correct scientific notation = [tex] 7.645*10^7 [/tex]
2. 0.000327
We move the decimal point to our right by 4 decimal places. Since we are counting to our right, the exponent of 10 should be -4 not 4.
The correct scientific notation = [tex] 3.27*10^{-4} [/tex]
4. 116,000,000,000
Number of decimal places moved to our left = 11
The exponent of 10 should be 11 not 9.
The correct scientific notation = [tex] 1.16*10^11 [/tex]
5. 0.024
Number of decimal places moved to our right = 2
Since we are moving to our right, exponent of 10 = -2.
Calvin made a mistake here by not placing a decimal point in the first number after the last 0 to our right.
The correct scientific notation = [tex] 2.4*10^{-2} [/tex]
7. 100
There are just 2 zeros.
Therefore, the exponent of 10 = 2 not 3.
correct scientific notation = [tex] 10^2 [/tex]
9. 900,000
Number of decimal places moved to our left = 5
Since we are moving to the left, the exponent of 10 = 5 not -5
The correct scientific notation = [tex] 9*10^5 [/tex]
10. 0.00633
Number of decimal places moved to our right = 3
The exponent of 10 = -3
Calvin made a mistake by wrongly placing the decimal point.
The correct scientific notation = [tex] 6.33*10^{-3} [/tex]
The cost of a yoga class is $15 per session. In addition,
a mat fee of $2 is charged per session. Which of the
following represents the total cost in dollars, of the
class and mat for y sessions?
You're charged $15 + $2 or $17 per session
If y = # of sessions,
$17y represents the total amount of dollars charged for y sessions
The total cost in dollars, of the class and mat for y sessions will be 17y. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The cost of a yoga class is $15 per session.
In addition, a mat fee of $2 is charged per session.
Then the total cost in dollars, of the class and mat for y sessions will be
C = 15y + 2y
C = 17y
Then the total cost in dollars, of the class and mat for y sessions will be 17y.
Then the correct option is C.
The complete question is attached below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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What is 1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X0
Answer: zero
Step-by-step explanation: anything multiplied by zero ALWAYS equals zero.
Answer:
0
Step-by-step explanation:
Anything times zero will equal zero!
You purchase 5 DVDs and a CD. The cost of the CD is $9.50. Your total bill (before tax) is
$44.45. Write and solve an equation to find the cost of one DVD. (You may assume all the
DVDs are the same price.) *
Answer:
$6..99
Step-by-step explanation:
$6.99 each you do 44.45 - 9.50 than divide by 5
An airport parking lot has. 2800 spaces.if each row has 25 spaces.how many rows are there?
please help my brain can’t comprehend anything right now
i think its 10
if not plz correct me
Answer:
0
Step-by-step explanation:
You distribute the 2 into the parenthesis, so 2•5x=10x and 2•4=8. So now you have 10x+8=8. You want to get the x alone so you have to bring the 8 on the left side to the ride and you do that by subtracting 8 in both sides. So 10x+8(-8)=8(-8). That turns into 10x=0 because 8-8=0. and now you want to leave the x alone so you divide by 10 so 10x/10=0/10 and so the 10x/10=x and 0 divided by anything is zero. Therefore, x=0
Ten boxes of paper weigh 260 pounds. Mrs. Thomas
ordered 24 boxes of paper for the science department.
How many pounds do 24 boxes of paper weigh?
Answer:
624 pounds
Step-by-step explanation:
If 10 boxes of paper weigh 260 pounds, one box of paper is equal to 26 pounds because 260 divided by 10 is equal to 26. If one box equals 26 pounds, 24 boxes times 26 pounds each is equal to 624 pounds.
the sum of two fractions is 31/4 if one of them is 17/6 find the other
-1 2/3 and -1/4 as an inequality
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
A. Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
A
Step-by-step explanation:
Slope is positive 2 so we have to move 1 point right and 2 points up.
Secondly y-intercept is -6 so ,point is (0,-6)
How do you write 3 √ x 2 as an exponential form?
Answer:
log (2x)=3
log (3x)=2
3=log(x)
Which algebraic expression represents the phrase “six less than a number”? 6x - x x - 6 6 - x x - 6x
Answer:
B. x-6
Step-by-step explanation:
The algebraic expression is x-6. Therefore, option B is the correct answer.
We need to find the algebraic expression for the phrase "six less than a number"
What are Algebraic Expressions?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Now, for the given statement "six less than a number".
Let the unknown number be x.
So, six less than a number is x-6.
Therefore, option B is the correct answer.
To learn more about the algebraic expression visit:
https://brainly.com/question/19245500.
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What is the greatest whole number that rounds to 1,900 when rounded to the nearest hundred? The least whole number?
Answer:
When we round to the nearest hundred, we must look at the tens digit.
If the tens digit is 5 or lager, then we round up (we add 1 to the hundreds digit and after that, all the digits are zero.)
If the tens digit is smaller than 5, then we round down (the hundreds digit remains unchanged and after that, we complete with zeros.)
Then, the rounded number is 1900.
a) The greatest whole number that rounds to 1900 would be a number that is rounded down, then it will be:
1949
b) The least whole number that is rounded to 1900 is a number that we round up, this is:
1850
Largest: 1,949
This number is largest because it is closest to 1,900 without the number in the tens place being greater than 5, and the number in the tens place is bigger than 5
Smallest: 1,850
This number is smallest because any smaller number, like 1,849, would round to 1,800, and the number in the tens place is smaller than 5.
Have a good day!
Please help it is due right now 7^8/7^6 =?
Answer:
7^2 or 49
hope this helped
In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $328 (Money, January 2009). Assume that the cost for this type of hospital emergency room visitis normally distributed with a standard deviation of $92. Answer the following questions about the cost of a hospital emergency room visit for this medical service.Required:a. What is the probability that the cost will be more than $500?b. What is the probability that the cost will be less than $250?c. What is the probability that the cost will be between $300 and $400?d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 328
Standard deviation (sd) = 92
To obtain Zscore :
Zscore = (x - m) / sd
What is the probability that the cost will be more than $500?
x = $500
Zscore = (500 - 328) / 92 = 172 / 92 = 1.869 = 1.87
1 - p(Z < 1.87) = 1 - 0.9693 = 0.0307
b. What is the probability that the cost will be less than $250?
x = $250
Zscore = (250 - 328) / 92 = - 78 / 92 = - 0.8478 = - 0.85
p(Z < - 0.85) = 0.1977
c. What is the probability that the cost will be between $300 and $400?
x = 300
Zscore = (300 - 328) / 92 = - 28/ 92 = -0.30
p(Z < - 0.3) = 0.3821
x = 400
Zscore = (400 - 328) / 92 = 72/ 92 = 0.783
p(Z < 0.783) = 0.7823
0.7823 - 0.3821 = 0.4002
d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?
Probability is lower 8%
P (Z < Zscore) = 0.08
Zscore of 0.08 corresponds to - 1.41 on the z table
Zscore = (x - m) / sd
-1.41 = (x - 328) / 92
-129.72 = x - 328
-129.72 + 328 = x
x = 198.28
PLS HELPPP ITS NOT THAT HARD
Answer:
Step-by-step explanation:
1. System A is consistent and independent and unique solution
2. System B: inconsistent and no solutions
3. System C: consistent and dependent and infinite many solutions
HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x
Answer:
x=9
Step-by-step explanation:
17x - 12 = 114 + 3x
First Subtract 3x from both sides
14x - 12 = 114
Add 12 to both sides
14x=126
Divide by GCF (14)
x=9
Hope this helps! Plz award Brainliest : )
Answer:
17x - 12 = 114 + 3x
-3x +12 +12 -3x
Step-by-step explanation:
14x = 126
14/14 = 126/14 = 9
x = 9
find the midpoint of the line segment with the given endpoints (-4,4), (5,-1)
Answer:
-4+5/2 , 4+(-1)/2
1/2 , 3/2
Find the value of x in the equation 5(x+2)-3=10+7(2x-10)
Answer:
Exact form= 67/9 Decimal form= 7.4
Step-by-step explanation:
Answer:
x= 67 /9
Step-by-step explanation:
5(x+2)−3=10+7(2x−10)
x= 67 /9
x= 67 /9
Hoped I helped
What is the value of x?
Answer:
2x+2=58
2x=58-2=56
divide both sides by 2
x=28
What numbers are more than 3 units from −1 on a number line?
Hey there! I'm happy to help!
There is going to be a number 3 units to the right and 3 units to the left. If we go to the right, we add.
-1+3=2
And if we go to the left, we subtract.
-1-3=-4
So, the numbers that are more than 3 units from -1 on a number line is any number greater than 2 or less than -4.
Have a wonderful day! :D
Determine if the set is the empty set.
1) {XIX E N and 8
X If $7500 was compounded annually for 8 years at a rate of .23% how much will it be
worth?
Correct answers
7639.11
7639.12
7,639.11
7,639.12
Answer:
$7639.12
Step-by-step explanation:
We use the compound formula for accrued value (A) for a principal P deposited at an annual rate "r" over t years
[tex]A = P (1+r)^t[/tex]
In our case, with the given information, the formula becomes:
[tex]A = P (1+r)^t\\A=7500 \,(1.0023)^8\\A = 7639.11602[/tex]
which rounded to the nearest cent gives: $7639.12
A word that means something has been added.
Answer:
Summed?
Step-by-step explanation:
it's the only word i could think of that's math related.
Slope -2/3, through (-1,-6)
What is the equation of the line?
Answer:
Step-by-step explanation:
y + 6 = -2/3(x + 1)
y + 6= -2/3x - 2/3
y + 18/3 = -2/3x - 2/3
y = -2/3x - 20/3
Show all you work plzzz
Answer:
[tex]u=-7[/tex]
Step-by-step explanation:
[tex]-2u-5=9[/tex]
Add 5 to both sides:
[tex]-2u-5+5=9+5[/tex]
[tex]-2u=14[/tex]
Divide both sides by -2:
[tex]\frac{-2u}{-2}=\frac{14}{-2}[/tex]
[tex]u=-7[/tex]
A monthly service fee to download e-books is $4.95 plus $3.99 per book downloaded write an equation that represents the total cost see in a month when B books are downloaded explain how your equation represents the problem
Answer:
c=4.95+3.99b
Step-by-step explanation:
When there are no books, the service fee still applies, so when b=0, c=$4.95.
For each book downloaded $3.99 is added to the charge. The service fee is only charged once a month.
c=4.95+3.99b
(√5x+11 -4)(√5x+11 +4)
Answer:
5[tex]x^{2}[/tex]+49.193496x+105
Step-by-step explanation:
Trevor spent $27 and now has no money left. He had $
his purchase.
before
Answer:
Wouldn't it be 27 dollars?
Step-by-step explanation:
