# Question: Consider the following hypotheses H0 150 HA

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.

a. What is the critical value for the test with α = 0.01 and with α = 0.05?

b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?

c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?

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.

a. What is the critical value for the test with α = 0.01 and with α = 0.05?

b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01?

c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?

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