The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 50 months. A consumer protection agency wants to check if the mean life of these batteries is less than 50 months. They took a random sample of 25 such batteries and found that the mean life for this sample is 46.05 months. The lives of all such batteries have a normal distribution with the population standard deviation of 5.1 months. Using a 2.5% significance level, can you conclude that the mean life of all these batteries is less than 50 months?

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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6- The manufacturer of a certain brand of auto batteries claims that the mean life of these batteries is 50 months. A consumer protection agency wants to check if the mean life of these batteries is less than 50 months. They took a random sample of 25 such batteries and found that the mean life for this sample is 46.05 months. The lives of all such batteries have a normal distribution with the population standard deviation of 5.1 months. Using a 2.5% significance level, can you conclude that the mean life of all these batteries is less than 50 months?

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