1. A sample of 34 observations is selected from a normal population. The sample mean is 30, and the population started deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level.

H_{0 :}=0

H₁ :=31

a) It is a two tailed test. What is the decision rule?

Reject H₀ and accept H₁ when z does not lie in the region from ----- to ------

b) What is the value of the test statistics?

c) What is the p- value?

2. An online retailer ships products from overseas with an advertised delivery date within 28 days. To test whether or not deliveries are made within the advertised time, a random sample of 81 order is selected from a normal population. The sample mean delivery mean delivery time is 30 days, and the known population standard deviation is 5 days. Conduct the following test of hypothesis using the 0.01 significance level:

H₀:28

H₁:>28

1) Is this a one tailed test, what is the decision rule?

Reject H₀ when z > 2.33

2) What is the value of the test statistic?( Round answer to 2 decimal place.)

3)What is your decision regarding H₀?

4)What is the p-value?