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").

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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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