Question: Question #3 We perform a hypothesis test H 0 : = 0 vs 0 on the mean of a normal population. The sample size is

Question #3

We perform a hypothesis test H₀ : = 0 vs 0 on the mean of a normal population. The sample size is n = 25, the sample mean is x = 0.04 and the sample standard deviation is s = 0.1. The null hypothesis is rejected if the P-value is less than 0.02.

(a) What is the conclusion of the test if the variance of the population is unknown.

(b) What is the conclusion of the test if the variance of the population is known and equal to 0.0064.

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