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A manufacturer of Li-based batteries claims that their newly designed batteries will last, on average, 6 years with a standard deviation of 1 year. A random sample of 9 of these batteries was tested and found to have the following expected lifetimes in years: 4.0 7.0 6.8 7.9 6.0 6.5 5.0 5.2 5.7 To decide if the manufacturer's claim is valid on the mean or variance of the battery, you were asked to provide an analysis and interpretation. Assume the population of battery lives to be approximately normally distributed.

A manufacturer of Li-based batteries claims that their newly designed batteries will last, on average, 6 years with a standard deviation of 1 year. A random sample of 9 of these batteries was tested and found to have the following expected lifetimes in years: 4.0 7.0 6.8 7.9 6.0 6.5 5.0 5.2 5.7 To decide if the manufacturer's claim is valid on the mean or variance of the battery, you were asked to provide an analysis and interpretation. Assume the population of battery lives to be approximately normally distributed.

Calculus For The Life Sciences
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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What is the computed sample mean (expressed in 2 significant figures or 1 decimal place) ? 6 years nstructure.com/courses/77529/quizzes/197919 PM Long Quiz #2 (Problem Solving): [1211 DATAENG_EH] - ENGINEERING DATA ANALYSIS What is the computed sample standard deviation (expressed in 2 significant figures or 1 decimal place) ? 1.2 years Given the 95% confidence interval around the mean where the average battery lifetime will lie in between 5.1 years and 6.9 years (expressed the lower bound and upper bound in two significant figures), the manufacturer's claim about the average lifetime is valid (write "valid" or "not valid") at 95 % significance level. To decide whether the manufacturer's claim that the variability in terms of variance or standard deviation is 1, the standard deviation at 95 % confidence interval is in between 0.7 and 5.3 years (expressed the lower bound and upper bound in two significant figures). Thus, the manufacturer's claim about the variance is valid (write "valid" or "not valid") at 95 % significance level.
Transcribed Image Text:What is the computed sample mean (expressed in 2 significant figures or 1 decimal place) ? 6 years nstructure.com/courses/77529/quizzes/197919 PM Long Quiz #2 (Problem Solving): [1211 DATAENG_EH] - ENGINEERING DATA ANALYSIS What is the computed sample standard deviation (expressed in 2 significant figures or 1 decimal place) ? 1.2 years Given the 95% confidence interval around the mean where the average battery lifetime will lie in between 5.1 years and 6.9 years (expressed the lower bound and upper bound in two significant figures), the manufacturer's claim about the average lifetime is valid (write "valid" or "not valid") at 95 % significance level. To decide whether the manufacturer's claim that the variability in terms of variance or standard deviation is 1, the standard deviation at 95 % confidence interval is in between 0.7 and 5.3 years (expressed the lower bound and upper bound in two significant figures). Thus, the manufacturer's claim about the variance is valid (write "valid" or "not valid") at 95 % significance level.
A manufacturer of Li-based batteries claims that their newly designed batteries will last, on average, 6 years with a standard deviation of 1 year. A random sample of 9 of these batteries was tested and found to have the following expected lifetimes in years: 4.0 7.0 6.8 7.9 6.0 6.5 5.0 5.2 5.7 To decide if the manufacturer's claim is valid on the mean or variance of the battery, you were asked to provide an analysis and interpretation. Assume the population of battery lives to be approximately normally distributed.
Transcribed Image Text:A manufacturer of Li-based batteries claims that their newly designed batteries will last, on average, 6 years with a standard deviation of 1 year. A random sample of 9 of these batteries was tested and found to have the following expected lifetimes in years: 4.0 7.0 6.8 7.9 6.0 6.5 5.0 5.2 5.7 To decide if the manufacturer's claim is valid on the mean or variance of the battery, you were asked to provide an analysis and interpretation. Assume the population of battery lives to be approximately normally distributed.
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