Question

Consider the following hypothesis test.

H₀: μ ≥ 35

H_a: μ < 35

A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use

α = 0.01.

(a)

x = 34 and s = 5.2

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 μ < 35.

Do not reject H₀. There is sufficient evidence to conclude that μ < 35.    

Do not reject H₀. There is insufficient evidence to conclude that μ < 35.

Reject H₀. There is insufficient evidence to conclude that μ < 35.

(b)

x = 33 and s = 4.6

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 μ < 35.

Do not reject H₀. There is sufficient evidence to conclude that μ < 35.    

Do not reject H₀. There is insufficient evidence to conclude that μ < 35.

Reject H₀. There is insufficient evidence to conclude that μ < 35.

(c)

x = 36 and s = 4.0

Find the value of the test statistic.

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 μ < 35.

Do not reject H₀. There is sufficient evidence to conclude that μ < 35.    

Do not reject H₀. There is insufficient evidence to conclude that μ < 35.

Reject H₀. There is insufficient evidence to conclude that μ < 35.

Answer 1