From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing scores. Based on this sample, find a confidence interval for the proportion of all scores that are passing. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

Answers

Answer 1

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

60 out of 100 scores are passing scores, hence [tex]n = 100, \pi = \frac{60}{100} = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7[/tex]

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.The upper limit is 0.7.

A similar problem is given at https://brainly.com/question/16807970


Related Questions

PLEASE ANSWER!!! HELPPPO

Answers

Answer:

a) 34

b) 17

c)46

Step-by-step explanation:

55-21 = 34

count

On a recent vacation to the Philippines, Sama bought milk from two different stores. What is the difference in price between the two-unit rates for each carton of milk?
and
Derrick earns $14 per hour working at Pizza Palace. What will Derrick's new hourly rate be after a 4.5% raise.

Please solve this correctly. I will give Brainliest.

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Answer:

yes because that are true

find the inverse for the function f(x)= 14-3x/8-2x​

Answers

Answer:

y = 8x/93

Step-by-step explanation:

To get the find the inverse function, swap x and y and solve the equation for x.

Which expression is equivalent to 4 (5X + 3y)

Answers

Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

Order the following numbers from least to greatest: -5.6, -1.25, -7.8,9

Answers

-7.8,-5.6,-1.25,9

Hope this helped!! :)

How many tens equal 6 thousands

Answers

600 is the correct answer
the answer is= 600 tens

Repost
A group of tourists are on a three-day hiking trip. They hike ⅛ of the trail on the first day. On the second day, they hike 4/7 of the remaining distance. On the third day, they hike 1/3 of the remaining distance, plus the final 8 km. How many kilometers long is the trail?

Answers

Answer:

you told me to resolve this problem

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

you add the thing then multipy it then do math!

a line has a slope of -19/8 and passes through the point (0,12). what is its equation in slope intercept form​

Answers

Answer:

y=-19/8x+12

Step-by-step explanation:

Slope intercept form is

y=mx+b

m is slope

b is y-intercept

So we already know what the slope is so we can plug that in

y=-19/8x+b

Now  with the point we can substitute x and y with the point values

[Remember a point is (x,y)]

0 is x

12 is y

12=b

So the slope intercept form of this is

y=-19/8x+12

Hope this helps!

The expression 63+81,
How can you can use the distributive property in the GCF to find a equivalent expression? Explain how can you check your answer

Answers

Answer: 9 (7 + 9)

Step-by-step explanation:

63 = 9 * 7 and 81 = 9 * 9

Given the graph of g(x), which is a transformation of f(x)=|x|, write the equation for g(x).

Graph:

Transformations performed:

Equation:

g(x)=

Answers

Step-by-step explanation:

g(x) = -f(x+1) + 2

f(x) is first reflected across the x-axis and then translated 1 unit to the left and 2 units up.

What is the advantage of opening a credit card account at a young age?
A. It helps people begin to build a credit history.
B. It helps people begin to accumulate debt.
C. It allows people to take advantage of high interest rates.
D. It allows people to defer their tax payments.

Answers

Answer:

A. it helps people begin to build credit history.

Step-by-step explanation: It wants to know an ADVANTAGE! B is NOT an advantage. C high interest rates are very bad and make you pay more so its not C. D do i even really have to explain? lol the correct answer is A :)

Answer:

A. It helps people begin to build a credit history.

Step-by-step explanation:

how to make it guys please

Answers

Answer:

were is the qn?

Step-by-step explanation:


What number is 1/10 of 200

Answers

1/10 of 200 is 20

Answer: 20

Hope this helps.

Step by step:

1/10*200=20

What is 2+100009 it for my homework and I need it done today

Answers

Answer:

100011

Step-by-step explanation:

A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?

Answers

Answer:

$2600

Step-by-step explanation:

Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600

the ratio of collectible pennants kyle owns to pennants that yasmine owns is 3:2 yasmine has 36 pennants . How will the ratio of kyles pennants to yasmines pennants change if they both sell half of their pennants Explain

Answers

Answer:

If they both sell half then Kyle would have 1.5:1 and Yasmine would have 18 pennants.

Step-by-step explanation:

It will change because if they both sell half, they would have to multiply by .05  or divide by 2 because that is half of something.

3/2 or 3*0.5 = 1.5

2/2 or 2*0.5 = 1

36/2 or 36*0.5 = 18

So Kyle would have 1.5:1 pennants left and Yasmine would have 18 pennants left.

-6x - 3= 27
Help pless ​

Answers

Answer:

x=-5

Step-by-step explanation:

-6x-3=27

add 3 to both sides

-6x=30

divide both by -6

x=-5

I hope this helped :)

Answer:

[tex] \sf \: x = - 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6x - 3 = 27

Then the value of x will be,

→ -6x - 3 = 27

→ -6x = 27 + 3

→ -6x = 30

→ x = 30 ÷ (-6)

→ [ x = -5 ]

Hence, the value of x is -5.

Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?

Answers

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

         5 < x < 59

There are a few special triangles

Equilateral triangle could have legs

27, 32, 27

or

32, 27, 32

A right triangle could have the third side

√(27² + 32²) = √1753 which is about 41.87

or

√(32² - 27²) = √295 which is about 17.18

Notice all these fit within the original limits specified.

Answer:

The third side is greater than 5 but less than 59.

Step-by-step explanation:

Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.

So 27 and 32       The given two sides

   32 - 27 = 5        Greater than the difference   (greater than 5)

   32 + 27 = 59     Less than the sum   (less than 59)

 

A school wants to investigate the amount of exercise students do.
There are 1200 students at the school.
a Suggest a sensible number of students to be sampled.

Answers

Answer:

100-200     Step-by-step explanation: yes 600 is half the students most of them are going to be in class

Evaluate 10.5s + 9.9t when s=3 and t = 4

Answers

Answer:

71.1

Step-by-step explanation:

Answer:

71.1 is the answer

Step-by-step explanation:

Answer of what is QS

Answers

Check the picture below.

and let's not forget that the midsegment of a triangle is always half its parallel base.

[tex]\stackrel{midsegment}{AB}=\cfrac{\stackrel{base}{QS}}{2}\implies 16=\cfrac{QS}{2}\implies 32=QS[/tex]

3/15 as an improper fraction

Answers

Answer:

3/15 cannot be simplified as an improper fraction because ethe denominator is greater than the numerator. However, we can simplify 3/15 as a fraction

=> 3/15 = 1/5

Step-by-step explanation:

Hoped this helped.

Answer:3/15 as an improper fraction is 1/5

Step-by-step explanation:1 over 5

Round any answers to the nearest tenth if necessary.
ad
Technology required. Find the
missing measurements.
nd
35
А.
21
B
BC is 40
I
units, degrees, and 60
degrees.

Answers

He’s gonna give u a link he did it to me and it didn’t work

PLEASE HELP REWARDING A LOT

Answers

Answer:

(4,5)

Step-by-step explanation:

HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER

Answers

Answer:

The answer is A.

Step-by-step explanation:

5 - 1 = 4

10 - 6 = 4

15 - 11 = 4

20 - 16 = 4

25 - 21 = 4

Answer:

The correct answer should be B

Step-by-step explanation:

B is also number 5

Line a passes through points (3, 1) and (5, 10). Line b is parallel to line a. What is the slope of line b?

Answers

Answer:

9/2

Step-by-step explanation:

Answer:2.8

Step-by-step explanation: casue yeas.


Find the value of x and y.
(In picture)

Answers

Answer:

x is 4, and y is 3

Step-by-step explanation:

write a linear function for the data in each table

Answers

Answer:

19. y=5x+-1

20. y=-2.5x+4

Step-by-step explanation:

19: 9-4=5

-1+5=4 so m=5

b=-1

so y=5x+-1

20: -1-1.5=-2.5

4+-2.5=1.5

so m=-2.5

b=4

so y= -2.5x+4

Please mark me brainliest

help with this please help

Answers

Answer:

10

Step-by-step explanation:

find the slope and y intercept of y = x - 18

Answers

Answer:

Step-by-step explanation:

slope of y = x - 18

slope: 1

y-intercept: y = x - 18

y= 0 - 18= -18

y-int: (0, -18)

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