The performance of smartphone batteries is based on the time they last on a full charge. A smartphone manufacturer wants to construct a 95% confidence interval for the difference between the mean of performance of two kinds of batteries (two groups). Independent random samples are considered from groups 1 and 2 of batteries and the time measured in hours that the batteries will last on a full charge is recorded. Dataset is available at batteries performance.csv Assuming the measurements for both groups follow a normal distribution and the populations' variances are not equal, what is the lower bound of a 95% confidence interval for the difference between the means of the first group and the second group. i.e., ₁ - M₂. Note: Please round your answer to four decimal places. A1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 A Batteries 14 15 15 15 16 18 22 23 24 25 25 10 12 14 15 18 22 24 27 31 33 34 34 34 B Group X✓ fx с 1 1 1 1 1 1 1 1 1 1 1 2 2 22 2 2 2 2 2 2 2 2 2 2 Batteries Performance D E

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[STATISTICS] How do you solve this? 95% confidence interval
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The performance of smartphone batteries is based on the time they last on a full charge. A smartphone
manufacturer wants to construct a 95% confidence interval for the difference between the mean of
performance of two kinds of batteries (two groups).
Independent random samples are considered from groups 1 and 2 of batteries and the time measured in
hours that the batteries will last on a full charge is recorded.
Dataset is available at batteries performance.csv
Assuming the measurements for both groups follow a normal distribution and the populations'
variances are not equal, what is the lower bound of a 95% confidence interval for the difference
between the means of the first group and the second group. i.e., ₁ - M₂.
Note: Please round your answer to four decimal places.
Transcribed Image Text:The performance of smartphone batteries is based on the time they last on a full charge. A smartphone manufacturer wants to construct a 95% confidence interval for the difference between the mean of performance of two kinds of batteries (two groups). Independent random samples are considered from groups 1 and 2 of batteries and the time measured in hours that the batteries will last on a full charge is recorded. Dataset is available at batteries performance.csv Assuming the measurements for both groups follow a normal distribution and the populations' variances are not equal, what is the lower bound of a 95% confidence interval for the difference between the means of the first group and the second group. i.e., ₁ - M₂. Note: Please round your answer to four decimal places.
A1
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A
Batteries
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Transcribed Image Text:A1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 A Batteries 14 15 15 15 16 18 22 23 24 25 25 10 12 14 15 18 22 24 27 31 33 34 34 34 B Group X✓ fx с 1 1 1 1 1 1 1 1 1 1 1 2 2 22 2 2 2 2 2 2 2 2 2 2 Batteries Performance D E
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