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Consider the hypotheses shown below. Given that x overbar= 40 ​,sigma=11 ​,n=33​, alpha=0.10 ​, complete parts...

Consider the hypotheses shown below. Given that x overbar= 40 ​,sigma=11 ​,n=33​, alpha=0.10 ​, complete parts a and b.

Upper H 0 ​: mu less than or=38

Upper H 1​: mu greater than38

a. What conclusion should be​ drawn?

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

a. The​ z-test statistic is .

​(Round to two decimal places as​ needed.)

The critical​ z-score(s) is(are) .

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

Because the test statistic

does not fall within the critical values,

falls within the critical values,

is greater than the critical value,

is less than the critical value,

do not reject

reject

the null hypothesis.

b. The​ p-value is .

​(Round to three decimal places as​ needed.)

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