Question

Sony would like to test the hypothesis that the average age of a PlayStation user is different 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. If Population 1 is defined as PlayStation users and Population 2 is defined as Xbox users, the test statistic for this hypothesis test would be ________.

		Pooled-variance t - test for the difference in means
		Separate-variance t - test for the difference in means
		Matched pairs t - test for mean difference
		Independent samples Z- test for the difference in means

Answer 1

Answer:

Independent samples Z- test for the difference in means

Explanation:

For the given hypothesis test scenario, both samples are independent samples. We have to compare the two population means. The population standard deviations for the both samples are given. So, we need to use the two sample or independent samples Z-test for the difference in means. We cannot use the two sample t test because we are not given the sample standard deviations. If we are given population standard deviations, then we prefer z test instead of t test.