Question

Consider the following hypotheses:

H0: μ ≥ 150

HA: μ < 150

A sample of 80 observations results in a sample mean of 144. The population standard deviation is known to be 28. Use Table 1.

a.	What is the critical value for the test with α = 0.01 and with α = 0.05? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

	Critical Value
α = 0.01
α = 0.05

b-1.	Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Test statistic

b-2.	Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?
	Yes since the value of the test statistic is not less than the negative critical value. Yes since the value of the test statistic is less than the negative critical value. No since the value of the test statistic is not less than the negative critical value. No since the value of the test statistic is less than the negative critical value.

c.	Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?
	Yes since the value of the test statistic is not less than the negative critical value. Yes since the value of the test statistic is less than the negative critical value. No since the value of the test statistic is not less than the negative critical value. No since the value of the test statistic is less than the negative critical value.

Answer 1