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Sony Would Like to Test the Hypothesis That the Average

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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. The p- value for this hypothesis test would Be ______ .


Definitions:

Pearson Correlation

Another name for Pearson r, indicating the degree of linear relationship between two variables.

Null Hypothesis

A statement or hypothesis that suggests there is no statistical significance between the specified sets of observations.

Sample Size

The number of observations or replicates included in a statistical sample.

P Value

The probability of obtaining test results at least as extreme as the results observed, assuming the null hypothesis is true.

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