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The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 18 supermarkets from Region 1 had mean sales of 81 with a standard deviation of 6.6. A random sample of 12 supermarkets from Region 2 had a mean sales of 77.2 with a standard deviation of 5.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ₁ be the mean sales per market in Region 1 and 2 be the mean sales per market in Region 2. Use a significance level of a = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.

The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 18 supermarkets from Region 1 had mean sales of 81 with a standard deviation of 6.6. A random sample of 12 supermarkets from Region 2 had a mean sales of 77.2 with a standard deviation of 5.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ₁ be the mean sales per market in Region 1 and 2 be the mean sales per market in Region 2. Use a significance level of a = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 18 supermarkets from Region 1 had mean sales of 81 with a standard deviation of 6.6. A random sample of 12 supermarkets from Region 2 had a mean sales of 77.2 with a standard deviation of 5.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ₁ be the mean sales per market in Region 1 and 2 be the mean sales per market in Region 2. Use a significance level of a = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 1 of 4: State the null and alternative hypotheses for the test.
Transcribed Image Text:The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 18 supermarkets from Region 1 had mean sales of 81 with a standard deviation of 6.6. A random sample of 12 supermarkets from Region 2 had a mean sales of 77.2 with a standard deviation of 5.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ₁ be the mean sales per market in Region 1 and 2 be the mean sales per market in Region 2. Use a significance level of a = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 1 of 4: State the null and alternative hypotheses for the test.
The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 18 supermarkets from Region 1 had mean sales of 81 with a standard deviation of 6.6. A random sample of 12 supermarkets from Region 2 had a mean sales of 77.2 with a standard deviation of 5.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ₁ be the mean sales per market in Region 1 and 2 be the mean sales per market in Region 2. Use a significance level of a = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 2 of 4: Compute the value of the test statistic. Round your answer to three decimal places.
Transcribed Image Text:The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 18 supermarkets from Region 1 had mean sales of 81 with a standard deviation of 6.6. A random sample of 12 supermarkets from Region 2 had a mean sales of 77.2 with a standard deviation of 5.3. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ₁ be the mean sales per market in Region 1 and 2 be the mean sales per market in Region 2. Use a significance level of a = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 2 of 4: Compute the value of the test statistic. Round your answer to three decimal places.
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