1. Two electric car engine/battery systems A and B were compared. The amount of miles driven on a single charge was measured. The results of the experiments are given in the following table. System A Number of Trials 50 75 Average Mileage 36 42 a. Find a 99% confidence interval for uB – HA, the difference in population mean mileages for battery systems B and A. Assume we know the population standard deviations are 6 miles for A and 8 miles for B. b. The engineer for battery system A says that "Engine system A performs just as well as system B. While the sample average for B, 42, is higher than that of A, 36, these are just the results of a limited experiment and due to sample variance." Based on your Confidence Interval you found in part (a), would you agree or disagree with the claim that the systems perform equally?

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1. Two electric car engine/battery systems A and B were compared. The amount of miles driven on a single charge was
measured. The results of the experiments are given in the following table.
System
A
Number of Trials
50
75
Average Mileage
36
42
a. Find a 99% confidence interval for uB – HA, the difference in population mean mileages for battery systems B
and A. Assume we know the population standard deviations are 6 miles for A and 8 miles for B.
b. The engineer for battery system A says that "Engine system A performs just as well as system B. While the
sample average for B, 42, is higher than that of A, 36, these are just the results of a limited experiment and due to
sample variance." Based on your Confidence Interval you found in part (a), would you agree or disagree with the
claim that the systems perform equally?
Transcribed Image Text:1. Two electric car engine/battery systems A and B were compared. The amount of miles driven on a single charge was measured. The results of the experiments are given in the following table. System A Number of Trials 50 75 Average Mileage 36 42 a. Find a 99% confidence interval for uB – HA, the difference in population mean mileages for battery systems B and A. Assume we know the population standard deviations are 6 miles for A and 8 miles for B. b. The engineer for battery system A says that "Engine system A performs just as well as system B. While the sample average for B, 42, is higher than that of A, 36, these are just the results of a limited experiment and due to sample variance." Based on your Confidence Interval you found in part (a), would you agree or disagree with the claim that the systems perform equally?
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