Consider the following hypotheses:

H0: μ ≥ 150

HA: μ < 150

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

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

	CriticalValue
  α = 0.01
  α = 0.05

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

  Teststatistic

 ÂÂ

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

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