You may need to use the appropriate technology to answer this question.Consider the following hypothesis test.

H₀: = 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 = 104 and s = 11.6

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.Reject H₀. There is sufficient evidence to conclude that 100.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.(b)

x = 96.5 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.Reject H₀. There is sufficient evidence to conclude that 100.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.(c)

x = 101 and s = 10.6

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.Reject H₀. There is sufficient evidence to conclude that 100.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.