Consider the following hypotheses H0 173 A sample of 69 obse

Consider the following hypotheses:

H₀: 173

A sample of 69 observations results in a sample mean of 170. The population standard deviation is known to be 25.

What is the critical value for the test with = 0.10 and with = 0.01? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

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.)

B. Does the above sample evidence enable us to reject the null hypothesis at a=0.10?

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

Solution

z critical = 2.33 for 0.01

             = 1.38 for 0.10

As -1 <2.33 and 1.38, reject null hypothesis.