Question

he amount of time required to reach a customer service representative has a huge impact on customer satisfaction. A study was conducted 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. Two samples of data were collected (see below). Assume that the population variances in the amount of time for the two hotels are not equal. Hotel 1 Hotel 2 Mean 2.214 2.0115 Variance 2.951657 3.57855 Observations 20 20 Which of the following statistical tests should be used? Pooled Variance t test Independent samples Z test Separate Variance t test None of the above is correct

Answer 1

Separate Variance t test

Explanation:

Here, we have to use separate variance t test because we are not given the values for the population standard deviations and we are given that the population variances are not equal. We know that we use two sample t test assuming unequal or separate population variances when we are not given the values for population standard deviations and also we know that population variances are not equal. If population standard deviations are given, then we use independent samples Z test.