If, in a sample of n=20 selected from a normalpopulation, X=53 and S=20, what is your statistical decision if the level ofsignificance, , is 0.01, the nullhypothesis, H0, is =50, and the alternativehypothesis, H1, is 50?

Click here to view page 1 of the table of the critical values of t.1 Click here to view page 2 of the table of the critical values of t.2

Determine the criticalvalue(s).

The criticalvalue(s) is(are)

(Round to four decimal places as needed. Use a comma to separate answers asneeded.)

Determine the teststatistic, tSTAT.

tSTAT=

(Round to four decimal places asneeded.)

State your statistical decision. Choose the correct answer below.

A. The test doesnotreject the null hypothesis. The data doesnotprovide sufficient evidence to conclude that the mean differs from =50.

B. The test doesnotreject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from =50.

C. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from =50.

D. The test rejects the null hypothesis. The data doesnotprovide sufficient evidence to conclude that the mean differs from =50.

1: Table of critical values of t (page 1)