Question

# Consider the following hypothesis test. H0: μ ≥ 20 Ha: μ < 20 A sample of...

Consider the following hypothesis test.

H0: μ ≥ 20

Ha: μ < 20

A sample of 50 provided a sample mean of 19.3. The population standard deviation is 2.

(a)

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

(b)

p-value =

(c)

Using

α = 0.05,

Reject H0. There is sufficient evidence to conclude that μ < 20.Reject H0. There is insufficient evidence to conclude that μ < 20.     Do not reject H0. There is sufficient evidence to conclude that μ < 20.Do not reject H0. There is insufficient evidence to conclude that μ < 20.

(d)

State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

Reject H0. There is sufficient evidence to conclude that μ < 20.Reject H0. There is insufficient evidence to conclude that μ < 20.     Do not reject H0. There is sufficient evidence to conclude that μ < 20.Do not reject H0. There is insufficient evidence to conclude that μ < 20.

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