Question

To test H0: μ=100 versus H1: μ≠100, a simple random sample size of n=24 is obtained from a population that is known to be normally distributed.

A. If x=105.8 and s=9.3 compute the test statistic.

B. If the researcher decides to test this hypothesis at the a=0.01 level of significance, determine the critical values.

C. Draw a t-distribution that depicts the critical regions.

D. Will the researcher reject the null hypothesis?

a. The researcher will reject the null hypothesis since the test statistic is between the critical values.

b. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is not between the critical values.

c. There is not sufficient evidence for the researcher to reject the null hypothesis since the test statistic is between the critical values.

d. The researcher will reject the null hypothesis since the test statistic is not between the critical values

Answer 1

A) test statistic =3.055

B) critical values are -2.807 , 2.807

C)

D)

d. The researcher will reject the null hypothesis since the test statistic is not between the critical values