Question

1. A certain population follows a Normal distribution, with mean μ and standard deviation =2.5. You collect data and test the hypotheses H0: μ= 1, Ha: μ 1 and obtain a P-value of 0.082. What is your conclusion?

Answer 1

1)

Here,

Let us say we are testing the hypothesis using 5% level of significance, then if the P-value comes out to be less than the level of significance, then we reject the Null hypothesis, otherwise we accept the null hypothesis.

In this case, P-value is 0.082, which is greater than 0.05, thus we do not have sufficient evidence to reject the null hypothesis, so we accept the null hypothesis and say that .