[Step-by-Step] The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the Excel output
Question: 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.
| t -Test: Two-Sample Assuming Unequal Variances | ||
| Hotel 1 | Hotel 2 | |
| Mean | 2.214 | 2.0115 |
| Variance | 2.951657 | 3.57855 |
| Observations | 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 | |
- 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.
- What is the value of the test statistic 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? Explain how you obtain your answer.
- What is the critical value 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 at the 5% level of significance? Explain how you obtain your answer.
-
Suppose α = 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? Show how you obtain your answer.
- 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.
- 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.
- 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.
- 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.
Deliverable: Word Document 