Question

Consider the following hypothesis test for which a sample of 40 provided a mean of 16.5. Assume a population standard deviation of 7.

H0: μ = 15 H1: μ > 15

a. At α = 0.02, what is the critical value for z, and what is the rejection rule?

b. Compute the value of the test statistic z.

c. What is the P-value?

d. What is your conclusion?

Answer 1

given data are:-

sample mean () = 16.5

population sd () = 7

sample size (n) = 40

hypothesis:-

a.z critical value for alpha=0.02,right tailed test be:-

the rejection rule is:-

reject the null hypothesis, if

b. the test statistic be:-

c. P-value be:-

[ in any blank cell of excel type =NORMSDIST(1.355) press enter]

d). conclusion :-

p value = 0.0877 >0.02 (alpha)

so, we fail to reject the null hypothesis.

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