# Women studies magazine surveyed one thousand one hundred

January 30, 2017

Question
Q1: Women studies magazine surveyed one thousand one hundred and twenty four moms who are currently working full time jobs. Of the women surveyed, two hundred and eighty one were dissatisfied with their work/life balance, and four hundred and ninety five would take a pay cut to spend more time with their loved ones.
A) Construct a 95 per cent confidence interval estimate for the population proportion ofmoms working full timewho are dissatisfied with their work/life balance.

B) Construct a 95 per cent confidence interval estimate for the population proportion of moms working full time who would take a pay cut to spend more time with their loved ones

Q2: An examiner for a local group is assigned the task of evaluating refunds for office visits to dentists paid for by Medi. The review used a sample of seventy-five of the refunds, with the following results: In twelve of the office visits, an incorrect amount of refun was provided the amount of the refund was X-bar (Mean) equals \$93.70, S equals \$34.55

A) At the 0.05 level of significance is there evidence that the population mean refund was less than one hundred dollars?

B) At the 0.05 level of significance, is there evidence that the proportion of incorrect refunds in the population was greater than 0.10?

Q3: An industrial company produces connectors. If the connectors break when in use, a short circuit is likely to occur. To test the strength of the connectors, caustic testing is carried out to establish how much force is required to break the connectors. Force is measured by observing the number of pounds of force applied to the connector before it breaks. The following data are from 30 connectors subjected to this testing:
1870

1728

1656

1610

1634

1784

1522

1696

1592

1662

1866

1764

1734

1662

1734

1774

1550

1756

1762

1866

1820

1744

1788

1688

1810

1752

1680

1810

1652

1736

A) At the 0.05 level of significance, is there evidence that the population mean force is greater than 1500 pounds?

B) What assumption about the population distribution is needed in order to conduct the t test in (A)

Q4: An owner is anxious to increase the rate of return for guests at a lodging inn. One aspect of first impressions by guests relates to the time it takes to deliver the guest’s luggage to the room after check-in. A random sample of 20 deliveries on a particular day were selected in section I of the inn, and a random sample of 20 deliveries were selected in section II. Analyze the data below to determine if there is a difference in the mean delivery time in the two sections of the inn.
(Use a = 0.05) (use pool variance test)

I
10.70

9.89

11.83

9.04

9.37

11.68

8.36

9.76

13.67

8.96

9.51

10.85

10.57

11.06

8.91

11.79

10.59

9.13

12.37

9.91

II
7.20

6.68

9.29

8.95

6.61

8.53

8.92

7.95

7.57

6.38

8.89

10.03

9.30

5.28

9.23

9.25

8.44

6.57

10.61

6.77

Q5: Consider an experiment with 4 groups, with 8 values in each. For the ANOVA summary table below, fill in all the missing results:

Source

Degrees of Freedom

Sum of Squares

Mean Square (Variance)

F

Among group

C-1 = ?

SSA = ?

MSA = 80

Fstat = ?

Within Groups

N-c = ?

SSW = 560

MSW = ?

Total

N-1 = ?

SST = ?

Q6: An animal food distributor wants to increase their food line from its current tofu and prawn based animal foods by developing two new food lines, one that’s pork and the other that’s fish. The distributor conducted an experiment to judge the two new food line with its two existing ones, as well as a generic beef-based product sold in a supermarket chain. The experiment included a selected sample of fifty animals from the population at a local shelter. Ten animals were randomly assigned to each of the five products being tested. Each of the animals was then presented with three ounces of the selected food in a dish at feeding time. The researchers defined the variable to be measured as the # of ounces of food that the animal consumed within a ten min time interval that began when the filled dish was presented. Below are the results of this experiment

Tofu

Prawn

Pork

Fish

Beef

2.37

2.26

2.29

1.79

2.09

2.62

2.69

2.23

2.33

1.87

2.31

2.25

2.41

1.96

1.67

2.47

2.45

2.68

2.05

1.64

2.59

2.34

2.25

2.26

2.16

2.62

2.37

2.17

2.24

1.75

2.34

2.22

2.37

1.96

1.18

2.47

2.56

2.26

1.58

1.92

2.45

2.36

2.45

2.18

1.32

2.32

2.59

2.57

1.93

1.94

A) At the 0.05 level of significance is there evidence of a difference in the mean amount of food eaten among the various products?

Q7: In Alaska, hedge funds are allowed to put up for sale a type of car indemnity called tenable car indemnity. The authorizing process includes application review, remedial check and possible requests for additional remedial info and medical exams and a procedural stage in which the policies are generated and provided to the hedge fund for delivery. The ability to deliver approved policies to buyers in a timely manner is critical to the success of this service to the hedge fund. During one month, 27 approved polices were chosen at random. Total processing time shown below (in days):
73

19

16

64

28

28

31

90

60

56

31

56

22

18

45

48

17

17

17

91

92

63

50

51

69

16

17

A) Construct a 95 per cent confidence interval estimate for the population mean processing time

B) What assumption must you make about the population distribution in order to construct the confidence interval estimate in (A)

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