Question

# A gaming company would like to test the hypothesis that the average age of someone who...

A gaming company would like to test the hypothesis that the average age of someone who uses gaming console A is different from the average age of someone who uses gaming console B. A random sample of 36 gaming console A users had an average age of 34.2 years while a random sample of 30 gaming console B users had an average age of 32.7 years. Assume that the population standard deviation for the age of gaming console A and gaming console B users is 3.9 and 4.0​ years, respectively. This company would like to set

alphaαequals=0.10.

Which one of the following statements is​ true?

A.

Because the​ p-value is less than

alphaα​,

we reject the null hypothesis and can conclude that the average age of gaming console A users is different from the average age of gaming console B users.

B.

Because the​ p-value is greater than

alphaα​,

we fail to reject the null hypothesis and can conclude that the average age of gaming console A users is different from the average age of gaming console B users.

C.

Because the​ p-value is less than

alphaα​,

we fail to reject the null hypothesis and conclude that the average age of gaming console A users is equal to the average age of gaming console B users.

D.

Because the​ p-value is greater than

alphaα​,

we fail to reject the null hypothesis and cannot conclude that the average age of gaming console A users is different from the average age of gaming console B users.

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