Question

Consider the hypotheses shown below. Given that x=41​, σ=11​, n=32​, α=0.05​, complete parts a and b....

Consider the hypotheses shown below. Given that x=41​, σ=11​, n=32​, α=0.05​, complete parts a and b.

H0​:μ ≤ 38

H1​: μ > 38

a. What conclusion should be​ drawn?

b. Determine the​ p-value for this test.

a. The​ z-test statistic is What? . ​(Round to two decimal places as​ needed.)

The critical​ z-score(s) is(are) What? . ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Because the test statistic ▼ (is greater than the critical value, is less than the critical value, falls within the critical values, does not fall within the critical values) pick answer, ▼ (do not reject, reject the null hypothesis.) pick answer

b. The​ p-value is What? . ​(Round to three decimal places as​ needed.)

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