A manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file. At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem.   Data Table: Person Old Battery Type New Battery Type 1 72.39 89.95 2 75.25 64.60 3 82.10 71.25 4 58.98 87.07 5 67.07 103.11 6 35.98 76.46 7 75.37 83.92 8 66.00 83.42 9 73.14 84.30 10 67.14 92.48 11 83.06 93.48 12 57.00 59.11 13 65.92 92.27 14 76.12 61.81 15 85.21 72.83 16 80.73 42.17 17 60.65 83.89 18 36.63 94.41 19 77.98 70.30 20 75.40 77.72 21 84.70 84.35 22 83.75 70.63 23 67.01 68.81 24 80.62 65.54 25 91.30 82.63

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A manufacturer is developing a nickel-metal hydride battery to be used in cellular telephones instead of a nickel-cadmium battery. The director of quality control decides to evaluate the newly developed battery by picking a random sample of employees with cellular phones and asking them to use both phones until the batteries run down. The results are given in the excel data file.

At the 5% level of significance is there evidence that the new battery provides more minutes of talk time per battery charge? Show your work and give your answer in complete sentences in context of the problem.

 

Data Table:

Person Old Battery Type New Battery Type
1 72.39 89.95
2 75.25 64.60
3 82.10 71.25
4 58.98 87.07
5 67.07 103.11
6 35.98 76.46
7 75.37 83.92
8 66.00 83.42
9 73.14 84.30
10 67.14 92.48
11 83.06 93.48
12 57.00 59.11
13 65.92 92.27
14 76.12 61.81
15 85.21 72.83
16 80.73 42.17
17 60.65 83.89
18 36.63 94.41
19 77.98 70.30
20 75.40 77.72
21 84.70 84.35
22 83.75 70.63
23 67.01 68.81
24 80.62 65.54
25 91.30 82.63

 

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