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 α = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 3 of 4: Find the p-value for the hypothesis test. Round your answer to four decimal places.
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 α = 0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 3 of 4: Find the p-value for the hypothesis test. Round your answer to four decimal places.
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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Question
![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 3 of 4: Find the p-value for the hypothesis test. Round your answer to four decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F955ff4f4-16d4-4965-9c48-d9ab4c3976eb%2F5150842b-dfb0-497d-81a7-179c00e1c6ea%2Fgrmohgi_processed.jpeg&w=3840&q=75)
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 3 of 4: Find the p-value for the hypothesis test. Round your answer to four decimal places.
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