Question

A sample of 65 observations is selected from one population with a population standard deviation of 0.78. The sample mean is 2.69. A sample of 54 observations is selected from a second population with a population standard deviation of 0.69. The sample mean is 2.57. Conduct the following test of hypothesis using the 0.1 significance level:

*H*_{0}: μ_{1} – μ_{2}≤ 0

*H*_{1}: μ_{1} – μ_{2} > 0

**a.** Is this a one-tailed or a two-tailed
test?

This is a ___ test.

**b.** State the decision rule. **(Round the
final answer to 2 decimal places.)**

The decision rule is to reject *H*_{0} if
*z* is ___ .

**c.** Compute the value of the test statistic.
**(****Negative answer should be indicated by a
minus sign.** **Round the final answer to 2 decimal
places.)**

The test statistic is *z* ___

**d.** What is your decision regarding
*H*_{0}?

*H*_{0} is ___ .

**e.** What is the *p*-value? **(Round
the final answer to 4 decimal places.)**

The *p*-value is ___.

Answer #1

**UPVOTE.**

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