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 = 103 and s = 11.6

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

test statistic=

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

p-value =

State your conclusion.

a. Reject H₀. There is insufficient evidence to conclude that 100.

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

c. Do not reject H₀. There is sufficient evidence to conclude that 100.

d. Do not reject H₀. There is insufficient 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.)

test statistic=

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

p-value =

State your conclusion.

a. Reject H₀. There is insufficient evidence to conclude that 100.

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

c. Do not reject H₀. There is sufficient evidence to conclude that 100.

d. Do not reject H₀. There is insufficient evidence to conclude that 100.

(c) x = 102 and s = 10.6

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

test statistic=

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

p-value =

State your conclusion.

a. Reject H₀. There is insufficient evidence to conclude that 100.

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

c. Do not reject H₀. There is sufficient evidence to conclude that 100.

d. Do not reject H₀. There is insufficient evidence to conclude that 100.