If, in a sample of n= 25 selected from a normal population, X= 51 and S= 15, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Ho, is u= 50, and the alternative hypothesis, H, , is µ#50? a. Determine the critical value(s). The critical value(s) is(are). (Round to four decimal places as needed. Use a comma to separate answers as needed.) b. Determine the test statistic, tSTAT STAT =D (Round to four decimal places as needed.) c. State your statistical decision. Choose the correct answer below. O A. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50. O B. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50. OC. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50. O D. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from u = 50.

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If, in a sample of n= 25 selected from a normal population, X= 51 and S= 15, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ 50?
a. Determine the critical value(s).
The critical value(s) is(are)
(Round to four decimal places as needed. Use a comma to separate answers as needed.)
b. Determine the test statistic, 1STAT-
tSTAT =
(Round to four decimal places as needed.)
c. State your statistical decision. Choose the correct answer below.
O A. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from µ = 50.
O B. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50.
OC. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50.
OD.
The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from µ= 50.
Transcribed Image Text:If, in a sample of n= 25 selected from a normal population, X= 51 and S= 15, what is your statistical decision if the level of significance, a, is 0.10, the null hypothesis, Ho, is µ= 50, and the alternative hypothesis, H,, is µ 50? a. Determine the critical value(s). The critical value(s) is(are) (Round to four decimal places as needed. Use a comma to separate answers as needed.) b. Determine the test statistic, 1STAT- tSTAT = (Round to four decimal places as needed.) c. State your statistical decision. Choose the correct answer below. O A. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from µ = 50. O B. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50. OC. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from u = 50. OD. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from µ= 50.
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