TABLE 10-13
The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Microsoft 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, state the null and alternative hypotheses for testing if 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.

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 Microsoft 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, state the null and alternative hypotheses for testing if 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.
A) H₀: σ₁² - σ₂² ≥ 0 versus H₁: σ₁² - σ₂² < 0 
B) H₀: σ₁² - σ₂² ≤ 0 versus H₁: σ₁² - σ₂² > 0 
C) H₀: σ₁² - σ₂² = 0 versus H₁: σ₁² - σ₂² ≠ 0 
D) H₀: σ₁² - σ₂² ≠ 0 versus H₁: σ₁² - σ₂² = 0

Quizplus · Accepted Answer

The null hypothesis should state that there is no difference in the population variances of the amount of time required to reach a customer service representative between the two hotels, while the alternative hypothesis should state that there is a difference. Option C correctly formulates the null and alternative hypotheses with an equality symbol for the null hypothesis and a not-equal-to symbol for the alternative hypothesis. Options A and B mistakenly use an inequality symbol for the null hypothesis, while option D formulates the null and alternative hypotheses in reverse.

TABLE 10-13 The Amount of Time Required to Reach a Customer Service