Question

# Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ <  55 A sample of 36...

Consider the following hypothesis test.

H0: μ ≥ 55

Ha: μ <  55

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 = 54 and s = 5.3

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

p-value =

Reject H0. There is insufficient evidence to conclude that μ < 55.Do not reject H0. There is sufficient evidence to conclude that μ < 55.     Reject H0. There is sufficient evidence to conclude that μ < 55.Do not reject H0. There is insufficient evidence to conclude that μ < 55.

(b)

x = 53 and s = 4.5

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

p-value =

Reject H0. There is insufficient evidence to conclude that μ < 55.Do not reject H0. There is sufficient evidence to conclude that μ < 55.     Reject H0. There is sufficient evidence to conclude that μ < 55.Do not reject H0. There is insufficient evidence to conclude that μ < 55.

(c)

x = 56 and s = 6.0

Find the value of the test statistic.

p-value =

Reject H0. There is insufficient evidence to conclude that μ < 55.Do not reject H0. There is sufficient evidence to conclude that μ < 55.     Reject H0. There is sufficient evidence to conclude that μ < 55.Do not reject H0. There is insufficient evidence to conclude that μ < 55.