Question

# Consider the following hypothesis test. H0: μ ≥ 35 Ha: μ < 35 A sample of...

Consider the following hypothesis test.

H0: μ ≥ 35

Ha: 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.)

p-value =

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.)

p-value =

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.

p-value =

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.

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