Sony would like to test the hypothesis that the average age of a PlayStation

# Sony would like to test the hypothesis that the

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140.Sony would like to test the hypothesis that the average age of a PlayStation user isdifferent from the average age of an Xbox user. A random sample of 36 PlayStation
users had an average age of 34.2 years while a random sample of 30 Xbox users had an average age of 32.7 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.9 and 4.0 years, respectively. Sony would like to set α= 0.10. The 90% confidence interval for the difference in population means is ________. 141.The Department of Housing and Urban Development (HUD) would like to test the hypothesis that the average size of a newly constructed house last year is different from the average size of a newly constructed house in 2000. The following data summarizes the sample statistics for house sizes, in square feet, for both years. Assume that the population variances are equal. If Population 1 is defined as homes built in 2000 and Population 2 is defined as homes built last year, and using α= 0.10, the critical value for this hypothesis test would be -1.691. 142.The Department of Housing and Urban Development (HUD) would like to test the hypothesis that the average size of a newly constructed house last year is different from the average size of a newly constructed house in 2000. The following data summarizes the sample statistics for house sizes, in square feet, for both years. Assume that the population variances are equal. If Population 1 is defined as homes built in 2000 and Population 2 is defined as homes built last year, the p-value for this hypothesis test would be between 0.005 and 0.01 . 143.When calculating the degrees of freedom for a hypothesis test comparing two population means with population variances that are unknown and assumed to be unequal, always round up the degrees of freedom to the next highest integer. This makes it more challenging to reject the null hypothesis which is a more conservative approach. 144.The Canadian government would like to test the hypothesis that the average hourly wage for men is more than \$2.00 higher than the average hourly wage for women. The following data summarizes the sample statistics for hourly wages for men and women. Assume that the population variances are equal. If Population 1 is defined as men and Population 2 is defined as women, and using α= 0.025, is the following statement true or false? Because the