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You may need to use the appropriate technology to answer this question.

Consider the following hypothesis test.

H0: ???? = 100

Ha: ???? ≠ 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 H0. There is insufficient evidence to conclude that ???? ≠ 100.Reject H0. There is insufficient evidence to conclude that ???? ≠ 100. Do not reject H0. There is sufficient evidence to conclude that ???? ≠ 100.Reject H0. 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 H0. There is insufficient evidence to conclude that ???? ≠ 100.Reject H0. There is insufficient evidence to conclude that ???? ≠ 100. Do not reject H0. There is sufficient evidence to conclude that ???? ≠ 100.Reject H0. 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 =



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