To test H0: =100 versus H1: 100, a simple random sample size of n=23 is obtained from a population that is known to be normally distributed. Answer parts(a)-(c).

(a) If x bar=105.5 and s=8.7, compute the test statistic. (Round to three decimal places asneeded.)

t=

(b) If the researcher decides to test this hypothesis at the =0.01 level ofsignificance, determine the critical values. (Use a comma to separate answers as needed. Round to three decimal places asneeded.)

The critical values are

(c) Will the researcher reject the nullhypothesis?

A. Thereisnotsufficientevidencefortheresearcherto reject the null hypothesis since the test statistic isbetween the critical values.

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

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

D. Theresearcherwill reject the null hypothesis since the test statistic isnotbetween the critical values.