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 s = 4.3, compute the test statistic.

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Get Startedt = __

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)

Î±

=

0.05

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

**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±.

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