B Step 2: Collect the Data (Explain whether or not the criteria for the approximate normality of the sampling distribution of sample means are satisfied. Specify the sample size, sample mean, and sample standard deviation. )

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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Step 2: Collect the Data (Explain whether or not the criteria for the approximate normality of the
sampling distribution of sample means are satisfied. Specify the sample size, sample mean, and
sample standard deviation. )
Transcribed Image Text:Step 2: Collect the Data (Explain whether or not the criteria for the approximate normality of the sampling distribution of sample means are satisfied. Specify the sample size, sample mean, and sample standard deviation. )
5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these
radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in
the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand
that the company currently uses. However, the purchasing manager is concerned that the cheaper
batteries may have a shorter average battery life than the current brand. (Note: The number of hours
that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries
of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the
sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the
1% level of significance to determine whether the cheaper batteries have a shorter average battery life
span than the average life span of the brand of batteries the company currently uses.
Transcribed Image Text:5 Imagine that a company sells portable walkie-talkie radios to construction crews. The batteries for these radios last for an average of 55 hours. The purchasing manager for this company receives a brochure in the mail that advertises a new brand of batteries. This new brand of batteries is cheaper than the brand that the company currently uses. However, the purchasing manager is concerned that the cheaper batteries may have a shorter average battery life than the current brand. (Note: The number of hours that batteries last is called their battery life.) The pricing manager installs 40 randomly selected batteries of the cheaper brand in the company's walkie-talkie radios. He finds that the mean battery life for the sample is 52 hours, with a standard deviation of 10 hours. He wants to perform a statistical test at the 1% level of significance to determine whether the cheaper batteries have a shorter average battery life span than the average life span of the brand of batteries the company currently uses.
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