8. A company claims that rechargeable batteries it produces can last at least 50,000 hours. A randomly selected 40 batteries had a mean of 49,000 hours. It is assumed that the battery life is normally distributed with a standard deviation of 5,800 hours. Conduct an appropriate hypothesis test using the critical value approach, at the 0.05 level of significance. Is there evidence that the mean battery life as claimed by the company is true?

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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8.
A company claims that rechargeable batteries it produces can last at least 50,000 hours.
A randomly selected 40 batteries had a mean of 49,000 hours. It is assumed that the
battery life is normally distributed with a standard deviation of 5,800 hours.
Conduct an appropriate hypothesis test using the critical value approach, at the 0.05 level
of significance. Is there evidence that the mean battery life as claimed by the company is
true?
Transcribed Image Text:8. A company claims that rechargeable batteries it produces can last at least 50,000 hours. A randomly selected 40 batteries had a mean of 49,000 hours. It is assumed that the battery life is normally distributed with a standard deviation of 5,800 hours. Conduct an appropriate hypothesis test using the critical value approach, at the 0.05 level of significance. Is there evidence that the mean battery life as claimed by the company is true?
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