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A software company markets a new computer game with two experimental packaging designs. Design 1 is sent to 11 stores; their average sales the first month is 52 units with sample standard deviation 12 units. Design 2 is sent to 6 stores; their average sales the first month is 46 units with a sample standard deviation of 10 units. It is desired to test, at the 0.01 level of significance whether the data provide sufficient evidence to conclude that the mean sales per month of the two designs are different. Let µ1 and uz denote the average monthly sales for Design 1 and Design 2, respectively. The following hypotheses are being considered. Ho : µ1 – µ2 = 0 versus H1 : µ1 – µ2 # 0. The pooled sample variance equals (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The value of the test statistic equals . (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The reference distribution is the t-distribution with degrees of freedom. The rejection region is bounded by the following critical values:± . (Give your answer precise to three decimal places.) The decision from the test is to the null hypothesis. (Write "reject" or "not reject").

A software company markets a new computer game with two experimental packaging designs. Design 1 is sent to 11 stores; their average sales the first month is 52 units with sample standard deviation 12 units. Design 2 is sent to 6 stores; their average sales the first month is 46 units with a sample standard deviation of 10 units. It is desired to test, at the 0.01 level of significance whether the data provide sufficient evidence to conclude that the mean sales per month of the two designs are different. Let µ1 and uz denote the average monthly sales for Design 1 and Design 2, respectively. The following hypotheses are being considered. Ho : µ1 – µ2 = 0 versus H1 : µ1 – µ2 # 0. The pooled sample variance equals (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The value of the test statistic equals . (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The reference distribution is the t-distribution with degrees of freedom. The rejection region is bounded by the following critical values:± . (Give your answer precise to three decimal places.) The decision from the test is to the null hypothesis. (Write "reject" or "not reject").

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A software company markets a new computer game with two experimental packaging designs. Design 1 is sent to 11 stores; their average sales the first month is 52 units with sample standard deviation 12 units. Design 2 is sent to 6 stores; their average sales the first month is 46 units with a sample standard deviation of 10 units. It is desired to test, at the 0.01 level of significance whether the data provide sufficient evidence to conclude that the mean sales per month of the two designs are different. Let Hi and l2 denote the average monthly sales for Design 1 and Design 2, respectively. The following hypotheses are being considered. Ho : 41 -12 =0 versus H1 : µ1 – µ2 7 0. %3D The pooled sample variance equals (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The value of the test statistic equals (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The reference distribution is the t-distribution with degrees of freedom. The rejection region is bounded by the following critical values: + . (Give your answer precise to three decimal places.) The decision from the test is to the null hypothesis. (Write "reject" or "not reject").
Transcribed Image Text:A software company markets a new computer game with two experimental packaging designs. Design 1 is sent to 11 stores; their average sales the first month is 52 units with sample standard deviation 12 units. Design 2 is sent to 6 stores; their average sales the first month is 46 units with a sample standard deviation of 10 units. It is desired to test, at the 0.01 level of significance whether the data provide sufficient evidence to conclude that the mean sales per month of the two designs are different. Let Hi and l2 denote the average monthly sales for Design 1 and Design 2, respectively. The following hypotheses are being considered. Ho : 41 -12 =0 versus H1 : µ1 – µ2 7 0. %3D The pooled sample variance equals (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The value of the test statistic equals (Give your answer precise to one decimal place, e.g., 12.8, 27.3, 4.0.) The reference distribution is the t-distribution with degrees of freedom. The rejection region is bounded by the following critical values: + . (Give your answer precise to three decimal places.) The decision from the test is to the null hypothesis. (Write "reject" or "not reject").
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