# Upper H 2 versus Upper H1 2 a simple random sample of size n 17 statistics assignment help

To test Upper H0â€‹: Î¼=20 versus Upper H1â€‹: Î¼< 20, a simple random sample of size n =17 is obtained from a population that is known to be normally distributed. Answer partsâ€‹ (a)-(d).

Please look at the t-Distribution Area in Right Tail table that I attached to this question.

(a) If xÌ… = 18.2 and 4.3, compute the test statistic.

t = __
â€‹(Round to two decimal places asâ€‹ needed.)

(b) Draw aâ€‹ t-distribution with the area that represents theâ€‹ P-value shaded.

(c)

â€‹Approximate theâ€‹ P-value. Choose the correct range for theâ€‹ P-value below.

(insert here) < P-value
<
(insert here)

(d) If the researcher decides to test this hypothesis at the
Î±

0.05
level ofâ€‹ significance, will the researcher reject the nullâ€‹ hypothesis?

A) The researcher will not reject the null hypothesis since the P-value is not less than Î±.

B)
The researcher will reject the null hypothesis since the
â€‹ P-value is not less than
alpha Î±.

C)
The researcher will not reject the null hypothesis since the
â€‹ P-value is less than
alpha Î±.

The researcher will reject the null hypothesis since the P-value is less than
Î±.