Exam
Name___________________________________

ESSAY.  Write your answer in the space provided or on a separate sheet of paper.
Provide an appropriate response.
1) For the following data, approximate the mean number of unused vacation days at the end of the year.

2) For the following data, approximate the mean number of unused vacation days at the end of the year.

3) For the following data, approximate the mean number of unused vacation days at the end of the year.

4) For the following data, approximate the mean number of unused vacation days at the end of the year.

5) The grades are given for a student for a particular term. Find the grade point average. The point values of grades are given below.
A  4,	B  3,	C  2,	D  1,	F  0

      F	4
      A	1
      D	3
      C	2
      A	4

6) The grades are given for a student for a particular term. Find the grade point average. The point values of grades are given below.
A  4,	B  3,	C  2,	D  1,	F  0

      A	4
      F	1
      B	3
      C	2
      F	4

7) The grades are given for a student for a particular term. Find the grade point average. The point values of grades are given below.
A  4,	B  3,	C  2,	D  1,	F  0

      A	4
      C	2
      C	3
      A	3
      C	4

8) The grades are given for a student for a particular term. Find the grade point average. The point values of grades are given below.
A  4,	B  3,	C  2,	D  1,	F  0

      C	3
      F	2
      F	2
      B	3
      F	3

9) The amount of corn chips dispensed into a 32-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 32.5 ounces and a standard deviation of 0.2 ounce. What chip amount represents the 67th percentile for the bag weight distribution? Round to the nearest hundredth.

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question.
Find the indicated probability.
10) The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?	10) ______

A) 0.4013	B) 0.0987	C) 0.3821	D) 0.5987

Find the indicated percentage for the normally distributed variable. Round your answer to two decimal places, if necessary.
11) The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a human pregnancy lasts at least 289 days? 	11) ______

A) 91.92%	B) 8.80%	C) 99.7%	D) 8.08%

SHORT ANSWER.  Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
12) Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 430 manufacturing firms is selected, and only 26 of them offer child-care benefits. Specify the rejection region that the union will use when testing at α = 0.05.	12)  _____________

13) Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 90% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 450 manufacturing firms is selected, and only 27 of them offer child-care benefits. Specify the rejection region that the union will use when testing at α = 0.10.	13)  _____________

14) Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 90% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 420 manufacturing firms is selected, and only 30 of them offer child-care benefits. Specify the rejection region that the union will use when testing at α = 0.10.	14)  _____________

15) Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 90% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 470 manufacturing firms is selected, and only 32 of them offer child-care benefits. Specify the rejection region that the union will use when testing at α = 0.05.	15)  _____________

16) A local juice manufacturer distributes juice in bottles labeled 12 ounces. A government agency thinks that the company is cheating its customers. The agency selects 20 of these bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.7 ounce. Use a 0.01 significance level to test the agency's claim that the company is cheating its customers. Round the test statistic to the nearest thousandth.	16)  _____________

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question.
Conduct a full hypothesis test and determine if the given claim is supported or not supported at the 0.05 significance level. Round all amounts and standard scores to two decimal places. 
17) A manufacturer claims that the mean amount of juice in its  bottles is  A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of  was Test whether the claim that the mean amount of juice for all  bottles is less than  is supported or not supported. Assume that 	17) ______

A) supported	B) not supported

18) A manufacturer claims that the mean amount of juice in its  bottles is  A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of  was Test whether the claim that the mean amount of juice for all  bottles is less than  is supported or not supported. Assume that 	18) ______

A) not supported	B) supported

19) A manufacturer claims that the mean amount of juice in its  bottles is  A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of  was Test whether the claim that the mean amount of juice for all  bottles is less than  is supported or not supported. Assume that 	19) ______

A) not supported	B) supported

20) A manufacturer claims that the mean amount of juice in its  bottles is  A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of  was Test whether the claim that the mean amount of juice for all  bottles is less than  is supported or not supported. Assume that 	20) ______

A) supported	B) not supported

1) 4.7
2) 8.2
3) 4.5
4) 6.9
5) 1.93
6) 2.07
7) 2.88
8) 1.15
9) 32.59 oz
10) A
11) D
12) To determine if more than 85% of the firms do not offer any child-care benefits, we test

     p = 0.85 vs.  p > 0.85

The rejection region requires α = 0.05 in the upper tail of the z distribution. The rejection region is 
13) To determine if more than 90% of the firms do not offer any child-care benefits, we test

     p = 0.90 vs.  p > 0.90

The rejection region requires α = 0.10 in the upper tail of the z distribution. The rejection region is 
14) To determine if more than 90% of the firms do not offer any child-care benefits, we test

     p = 0.90 vs.  p > 0.90

The rejection region requires α = 0.10 in the upper tail of the z distribution. The rejection region is 
15) To determine if more than 90% of the firms do not offer any child-care benefits, we test

     p = 0.90 vs.  p > 0.90

The rejection region requires α = 0.05 in the upper tail of the z distribution. The rejection region is 
16) critical value  = -2.539; standardized test statistic ≈ -1.917; fail to reject ; There is not sufficient evidence to support the government agency's claim.
17) B
18) A
19) A
20) B