A sample of 34 observations is selected from a normal population. The sample mean is 45, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.02 significance level.

H₀: = 46

H₁: 46

a.Is this a one- or two-tailed test?

One-tailed test

b.What is the decision rule?

RejectH₀if 2.326 <z< 2.326

c.What is the value of the test statistic?(Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

d.What is your decision regardingH₀?

RejectH₀

e-1.What is thep-value?(Round yourzvalue to 2 decimal places and final answer to 4 decimal places.)

e-2.Interpret thep-value?(Round yourzvalue to 2 decimal places and final answer to 2 decimal places.)