In a hypothesis test with hypotheses H0:45and H1:45, a random sample of 62 elements selected from the population produced a mean of 46. Assume that...

In a hypothesis test with hypotheses H0:μ≤45and H1:μ>45, a random sample of 62 elements selected from the population produced a mean of 46.0. Assume that σ=6.4, and that the test is to be made at the 2.5% significance level.

What is the critical value of z?

What is the value of the test statistic, z, rounded to three decimal places?

What is the p-value for this hypothesis test, rounded to four decimal places?