Chapter 10: Q.10.5 (page 405)
The primary concern is deciding whether the mean of Population 1 differs from the mean of Population 2 .
Short Answer
(a) Null hypotheses:
Alternate hypotheses:
(b) The hypotheses test is two-tailed
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Chapter 10: Q.10.5 (page 405)
The primary concern is deciding whether the mean of Population 1 differs from the mean of Population 2 .
(a) Null hypotheses:
Alternate hypotheses:
(b) The hypotheses test is two-tailed
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Suppose that the sample sizes, and , are equal for independent simple random samples from two populations.
a. Show that the values of the pooled and nonpooled r-statistics will be identical. (Hint: Refer to Exercise 10.61 on page 417.)
b. Explain why part (a) does not imply that the two t-tests are Equivalent (i.e., will necessarily lead to the same conclusion) when the sample sizes are equal.
In this Exercise, we have provided summary statistics for independent simple random samples from two populations. In each case, use the pooled -test and the pooled -interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
a. Left-tailed test,
b. confidence interval

The formula for the pooled variance, , is given on page 407 Show that, if the sample sizes, and , are equal, then is th mean of and .
Identify the assumption for using the two means test and the two mean interval procedure that renders those procedures generally impractical.
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