A manufacturer claims that the average lifetime of its lightbulbs is equal to 36 months. A random sample of 64 bulbs has a mean lifetime of 32 months, and the sample standard deviation is 11 months. We will be using a z-test for the population mean at x = 0.05 to check the manufacturer's claim. Do we reject the null hypothesis? Yes. No.

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 manufacturer claims that the average lifetime of its lightbulbs is equal to 36
months. A random sample of 64 bulbs has a mean lifetime of 32 months, and the
sample standard deviation is 11 months. We will be using a z-test for the population
mean at x = 0.05 to check the manufacturer's claim.
Do we reject the null hypothesis?
Yes.
No.
Transcribed Image Text:A manufacturer claims that the average lifetime of its lightbulbs is equal to 36 months. A random sample of 64 bulbs has a mean lifetime of 32 months, and the sample standard deviation is 11 months. We will be using a z-test for the population mean at x = 0.05 to check the manufacturer's claim. Do we reject the null hypothesis? Yes. No.
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