Consider the following hypothesis test.

H₀:= 100

H_a:100

A sample of 65 is used. Identify thep-value and state your conclusion for each of the following sample results. Use= 0.05.

a) x=103ands=11.5

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

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

p-value =

State your conclusion.

a) RejectH₀. There is insufficient evidence to conclude that100.

b) Do not rejectH₀. There is sufficient evidence to conclude that100.

c) RejectH₀. There is sufficient evidence to conclude that100.

d) Do not rejectH₀. There is insufficient evidence to conclude that100.

b) x=95.5ands= 11.0

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

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

p-value =

State your conclusion.

a) RejectH₀. There is insufficient evidence to conclude that100.

b) Do not rejectH₀. There is sufficient evidence to conclude that100.

c) RejectH₀. There is sufficient evidence to conclude that100.

d) Do not rejectH₀. There is insufficient evidence to conclude that100.

(c) x=102ands=10.5

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

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

p-value =

State your conclusion.

a) RejectH₀. There is insufficient evidence to conclude that100.

b) Do not rejectH₀. There is sufficient evidence to conclude that100.

c) RejectH₀. There is sufficient evidence to conclude that100.

d) Do not rejectH₀. There is insufficient evidence to conclude that100.