Depends on sample standard deviation


Suppose we are testing the hypotheses H0 :?= 100 and Ha:?< 100. Suppose the population variance is unknown. Which sample mean will have the smaller p-value, x = 90 or x = 85? Select all that apply.

a) x = 85 will have a smaller p-value because it is further from ?0 = 100.

b) x = 90 will have a smaller p-value because it is closer to ?0 = 100.

c) Can not answer because the test statistics also depends on sample standard deviation s which is not given.

d) x = 90 will have a smaller p-value because it provides more support for HA.

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Basic Statistics: Depends on sample standard deviation
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