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	3.25	2.01
Variance	2.952	3.579
Observations	20	20
df	38
t Stat	?
t Critical one-tail	1.686
t Critical two-tail	2.024

What is the value of the test statistic?

Answer 1

Solution: Two sample T test when assuming Unequal Variances.

Here, the given inforamtion are,

Mean	= 3.25	=2.01
Variance	=2.952	=3.579
Observations	n1=20	n2=20

To find out the t test statistic we have to use the formula for unequal variance.

Step 1) Null hypothesis:

Step 2) Alternative hypothesis:

Step 3)

Under Ho,

T statistic=

=

=

=1.0374

step 4) degrees of freedom =38

Critical value=2.024 (for two tailed test)

Step 5) Calculated value < Critical value (Accept H0)

There is no evidence of a difference in the mean amounts of time required to reach a customer service representative between two hotels.