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# A SAMPLE OF 40 OBSERVATIONS IS SELECTED FROM

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Author: Christine Farr
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http://theperfecthomework.com/a-sample-of-40-observations-is-selected-from-one-population-with-a-population-standard-deviation-of-3-3/

A sample of 40 observations is selected from one population with a population standarddeviation of 3.3. The sample mean is 100.0. A sample of 55 observations is selected from asecond population with a population standard deviation of 4.6. The sample mean is 98.6.Conduct the following test of hypothesis using the 0.10 significance level.H0 : μ 1 = μ 2H1 : μ1 ≠ μ2(aThis is a -tailed test.)(b State the decision rule. (Negative amounts should be indicated by a minus sign. Round) your answer to 2 decimal places.)The decision rule is to reject H0 if z is the interval (, ).(c)Compute the value of the test statistic. (Round your answer to 2 decimal places.)Value of the test statistic(dWhat is your decision regarding H0?)H0.(e)What is the p-value? (Round your answer to 4 decimal places.)

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