Question

10) A battery manufacturer is developing a new battery to be used for the iPhone 10. Before they will switch to the new design, they need to verify that the new battery will outperform (measured as hours of continuous music play) the current battery. a) State the Hypothesis to show the new battery design has longer playing time than the current battery design. b) Choose a level of a. Use a = 0.05 for this problem. c) To test the hypothesis, the battery manufacturer tests 30 iPhone 7s with the new battery design and 30 iPhone 10s with the current battery design. The data appear in the iPhone worksheet of the HW1 data workbook on Moodle. Collect data and calculate necessary statistics to test the hypothesis. d) Sketch the sampling distribution. Include the critical value and test statistic e) Draw a conclusion and report that in the problem context. f) Calculate the p-value for the hypothesis test g) Use Excel to perform the hypothesis test.

New	Current
13.3	14.2
16.4	12.9
13.9	14.5
15.4	14.9
15.1	15
14.6	15.1
14.9	13.2
17.2	14
14.2	15.1
17.3	13.8
14.8	15.4
16.3	15.8
16	15.9
15.5	16
15.8	14.1
18.1	14.9
12.8	13.7
15.9	12.4
13.4	14
14.9	14.4
14.6	14.5
14.1	14.6
14.4	12.7
16.7	13.5
13.7	14.6
16.8	13.3
14.3	14.9
15.8	15.3
15.5	15.4
15	15.5

Answer 1