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Q1. The following is a random sample representing the length of time between commercial breaks during a television miniseries. Find a point estimate for the average length of time between commercial breaks (sample mean) and a 90%, 95% and 99% confidence interval for the average length of time between commercial breaks. Use Analyze-Compare Means-One-Sample t Test, then use Options to change level of confidence.

5

7

8

14

13

10

9

8

11

12

14

11

9

10

6

8

12

5

11

8

For the following hypothesis tests: a) write out the Null and Alternate hypothesis b) write down the P-value c) state your conclusion (accept/reject) d) answer the question posed in the problem.

Q2. USA Today reported the state with the longest mean life span is Hawaii, where the population mean life span is 77 years. A random sample of 20 obituary notices in the Honolulu Advertiser gave the following information about life span (in Years) of Honolulu residents:

72

68

81

93

56

19

78

94

83

84

77

69

85

97

75

71

86

47

66

88

Assuming the life span in Honolulu is normally distributed, does this indicate the population mean life span is overstated? (Is the mean life span actually less than stated?) Use α=.05.

Use Analyze-Compare Means-One-Sample t Test, then make sure to fill in the test value.

Q3. A marketing consultant was hired to visit a random sample of five sporting goods stores across the state of California. Each store was part of a large franchise of sporting goods stores. The consultant taught the manager of each store better ways to advertise and display their goods. The net sales for one month before and one month after the consultant's visit were recorded as follows for each store (in thousands of dollars):

Store

1

2

3

4

5

Before Visit

57.1

94.6

49.2

77.4

43.2

After Visit

63.5

101.8

57.8

81.2

41.9

Do the data indicate that the net sales improved at the α=.05 level? At the α=.01 level?

Type the information in two columns with labels Before and After. Use Analyze - Compare Means - Paired-Samples t Test, then define the pair.

Q4. Consumer Reports gave the following information about annual premiums for a $250,000 annual renewable life insurance policy for both men and women (age 45):

Insurance Premiums for Men (in dollars)

430

360

439

460

521

637

272

335

453

373

393


Insurance Premiums for Women (in dollars)

282

450

500

427

487

403

388

520

353

403

392

390

Does the information indicate that the average annual premiums for men are different than those for women? Use α= .05.

Type in your data as follows: First variable is Premiums, second variable is Gender (for this variable you must change the Type to String) Type all the numerical data into the first column, then type an M in the Gender column for Men and a W for women. Use Analyze - Compare Means - Independent Samples t Test. Fill in the Test Variable as Premiums and the Grouping Variable as Gender. Then Define the Groups as M and W.

Attachment:- Assignment Files.rar

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M92807651

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