Question

PLEASE ANSWER CLEARLY

A manufacturer of flashlight batteries claims that its batteries will last an average of 34 hours of continuous use. An analyst wants to test the claim that the mean life expectancy of the flashlight batteries is different from 34 hours. During consumer testing, a random sample of 50 batteries lasted an average of 33.2 hours with a standard deviation of 2.6 hours. One sample T summary hypothesis test: : Mean of population Ho! = 34 HA: 34 A Hypothesis test results: Mean Sample Mean Std. Err. DF T-Stat 33.2 0.36769553 49 -2.1757132 P-value 0.0344 B One sample Z summary hypothesis test: H: Mean of population Hop - 34 HAN 34 Standard deviation = 2.6 Hypothesis test results: Meann Sample Mean Std. Err. Z-Stat 50 33.2 0.36769553 -2.1757132 P-value 0.0296

Answer 1

Here we have not given the population standard deviation so we will use t test for conclusion about the null hypothesis.

P value = 0.0344 and $\alpha = 0.01$

Decision rule - Reject H₀ if p-value < $\alpha = 0.01$ else accept H₀.

here we can see that p-value =0.0344 > 0.01 so we accept H₀.

conclusion -

c) There is not sufficient evidence to conclude that the mean life expectancy of flashlight batteries is different from 34 hours.

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