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Consider the following hypothesis test.

*H*_{0}: ???? = 100

*H*_{a}: ???? ≠ 100

A sample of 65 is used. Identify the *p*-value and state your conclusion for each of the following sample results. Use

???? = 0.05.

(a)

*x* = 103 and *s* = 11.4

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the *p*-value. (Round your answer to four decimal places.)

*p*-value =

State your conclusion.

Do not reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 100.Reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 100. Do not reject *H*_{0}. There is sufficient evidence to conclude that ???? ≠ 100.Reject *H*_{0}. There is sufficient evidence to conclude that ???? ≠ 100.

(b)

*x* = 95.5 and *s* = 11.0

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the *p*-value. (Round your answer to four decimal places.)

*p*-value =

State your conclusion.

Do not reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 100.Reject *H*_{0}. There is insufficient evidence to conclude that ???? ≠ 100. Do not reject *H*_{0}. There is sufficient evidence to conclude that ???? ≠ 100.Reject *H*_{0}. There is sufficient evidence to conclude that ???? ≠ 100.

(c)

*x* = 102 and *s* = 10.4

Find the value of the test statistic. (Round your answer to three decimal places.)

Find the *p*-value. (Round your answer to four decimal places.)

*p*-value =

We have the hypothesis testing :

a) Given sample mean (

sa...