One Sample T-test and Confidence Interval The average monthly cell phone bill was reported last year to be $53.88 by the U.S. Wireless Industry. Random sampling of a large cell phone company found the current monthly cell phone charges (in dollars) in the table on the left. At the 0.05 level of significance, can it be concluded that the average cell phone bill has increased? Also find an 85% confidence interval estimate of the current mean monthly cell phone bill. Cell Phone Bills 55.83 60.47 58.60 49.88 52.45 51.29 32.98 49.20 70.42 50.02 75.04 41.88 35.00 61.58 58.99 61.25 62.00 80.21 73.60 71.52 42.80 38.65 49.54 61.88 46.30 74.10 48.63 63.45 44.43 36.77 71.96 77.79 42.13 63.24 67.56 74.44 31.77 76.91 73.04 79.92 67.10 78.13 37.95 45.60 68.88 54.47 43.47 54.57 76.12 80.45 38.08 57.21 54.28 a.  State the random variable and the parameter in words. b. State the null and alternative hypotheses and the level of significance. c. State and check the assumptions for a hypothesis test.

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ISBN:9781119256830
Author:Amos Gilat
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One Sample T-test and Confidence Interval

The average monthly cell phone bill was reported last year to be $53.88 by the U.S. Wireless Industry. Random sampling of a large cell phone company found the current monthly cell phone charges (in dollars) in the table on the left. At the 0.05 level of significance, can it be concluded that the average cell phone bill has increased? Also find an 85% confidence interval estimate of the current mean monthly cell phone bill.

Cell Phone Bills

55.83
60.47
58.60
49.88
52.45
51.29
32.98
49.20
70.42
50.02
75.04
41.88
35.00
61.58
58.99
61.25
62.00
80.21
73.60
71.52
42.80
38.65
49.54
61.88
46.30
74.10
48.63
63.45
44.43
36.77
71.96
77.79
42.13
63.24
67.56
74.44
31.77
76.91
73.04
79.92
67.10
78.13
37.95
45.60
68.88
54.47
43.47
54.57
76.12
80.45
38.08
57.21
54.28

a.  State the random variable and the parameter in words.

b. State the null and alternative hypotheses and the level of significance.

c. State and check the assumptions for a hypothesis test.

 

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