TABLE 10-13 The amount of time required to reach a customer service representati

Q: TABLE 10-13 The amount of time required to reach a customer service representati

In this solution, the p-value for t = 0.354386 with df = 38 is 0.725073 As p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means there is no evidence that the variabilities of the amount of time required to reach a customer service represntative between the two hotels are the same (Option C)

ID: 3178803 • Letter: T

Question

TABLE 10-13 The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output from a study to see whether there is evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels. Assume that the population variances in the amount of time for the two hotels are not equal.

Referring to Table 10-13, suppose a = 0.05. Which of the following represents the correct conclusion for a test on a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels?

A) There is evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.

B)There is evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.

C) There is no evidence that the variabilities of the amount of time required to reach a customer service representative between the two hotels are the same.

D) There is no evidence of a difference in the variabilities of the amount of time required to reach a customer service representative between the two hotels.

t-Test: Two sample Assuming Unequal Variances Hotel 1 Hotel 2 Mean 2.214 2.0115 Variance 2.951657 3.57855 Observation 20 20 Hypothesized Mean Difference 0 df 38 t stat 0.354386 P(T<=t) one-tail 0.362504 t Critical one-tail 1.685953 P(T<=t) two-tail 0.725009 t Critical two-tail 2.024394

Explanation / Answer

In this solution, the p-value for t = 0.354386 with df = 38 is 0.725073

As p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means there is no evidence that the variabilities of the amount of time required to reach a customer service represntative between the two hotels are the same (Option C)

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TABLE 10-13 The amount of time required to reach a customer service representati

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