Question

A sample of 69 observations is selected from one population with a population standard deviation of 0.79. The sample mean is 2.69. A sample of 48 observations is selected from a second population with a population standard deviation of 0.67. The sample mean is 2.61. Conduct the following test of hypothesis using the 0.05 significance level:

*H*_{0}: μ_{1} – μ_{2}≤ 0

*H*_{1}: μ_{1} – μ_{2} > 0

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

The decision rule is to reject *H*_{0} if
*z* is greater than less than ???

**b.** 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* ???

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

The *p*-value is ???

Answer #1

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