Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set a = 0.025. Which one of the following statements is true?

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Zappos is an online retailer based in Nevada and
employs 1,300 employees. One of their
competitors, Amazon.com, would like to test the
hypothesis that the average age of a Zappos
employee is less than 36 years old. A random
sample of 22 Zappos employees was found to
have an average age of 33.9 years. The standard
deviation for this sample was 4.1 years. Amazon
would like to set a = 0.025. Which one of the
following statements is true?
a.
Because the p-value is greater than a,
we reject the null hypothesis and cannot
conclude that the average age of Zappos
employees is less than 36 years old.
b. Because the p-value is less than a, we
fail to reject the null hypothesis and
conclude that the average age of Zappos
employees is less than 36 years old.
C.
Because the p-value is greater than a,
we fail to reject the null hypothesis and
cannot conclude that the average age of
Zappos employees is less than 36 years
old.
d. Because the p-value is less than a, we
reject the null hypothesis and conclude
that the average age of Zappos
employees is less than 36 years old.
Transcribed Image Text:Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set a = 0.025. Which one of the following statements is true? a. Because the p-value is greater than a, we reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old. b. Because the p-value is less than a, we fail to reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old. C. Because the p-value is greater than a, we fail to reject the null hypothesis and cannot conclude that the average age of Zappos employees is less than 36 years old. d. Because the p-value is less than a, we reject the null hypothesis and conclude that the average age of Zappos employees is less than 36 years old.
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