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Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe
the values of the test statistic that would result in rejection of the null hypothesis.
Suppose you wish to test the claim that ?d, the mean value of the differences d for a population of paired data, is
greater than 0. Given a sample of n= 15 and a significance level of ?= 0.01, what criterion would be used for
rejecting the null hypothesis?

a. Reject the null hypothesis if test statistic > 2.977 or < -2.977
b. Reject the null hypothesis if test statistic > 2.624
c. Reject the null hypothesis if test statistic > 2.602
d. Reject the null hypothesis if test statistic < 2.624

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the
test.
The manufacturer of a refrigerator for beer kegs produces refrigerators that are supposed to maintain a true mean
temperature, ?, of 43? F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the
refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. Identify the type I error for
the test.

a. The error of rejecting the claim that the mean temperature equals 43? F when it is really different from
43? F.
b. The error of rejecting the claim that the mean temperature equals 43? F when it really does equal
43? F.
c. The error of failing to reject the claim that the mean temperature equals 43? F when it is really different
from 43? F.

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the
critical z value used to test a null hypothesis.
? = 0.1 for a right-tailed test.

a. ?1.282
b. +1.282
c. ?1.96
d. +1.96

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