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.

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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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