A quality analyst conducts a small-scale study to compare the average capacity of two brands of AA batteries (A and B). A random sample of 11 batteries of Brand A has an average capacity of 851 mAh (milliampere-hours), and an independent random sample of 10 batteries of Brand B has an average capacity of 872 mAh. The sample standard deviations are 26.8 mAh and 31.9 mAh, respectively. It is assumed that battery capacity is normally distributed for both brands and the two distributions have the same variance. Find the pooled sample estimator of the true population variance. (Provide your answer as a number rounded to 2 decimal places).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A quality analyst conducts a small-scale study to compare the average capacity of two brands of AA batteries (A and B). A random sample of 11 batteries of Brand A has an average capacity of 851 mAh (milliampere-hours), and an independent random sample of 10 batteries of Brand B has an average capacity of 872 mAh. The sample standard deviations are 26.8 mAh and 31.9 mAh, respectively. It is assumed that battery capacity is normally distributed for both brands and the two distributions have the same variance. Find the pooled sample estimator of the true population variance. (Provide your answer as a number rounded to 2 decimal places).

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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,