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Chapter 13: Confidence Intervals – Small Samples

Example 13-7:

A project was assigned to ten male and ten female students

in a graduate class. The time (in days) it took to independently complete the

project by the students were recorded. The instructor for the course feels

that the male and female students, on average, will spend the same amount

of time to complete the project.

The number of days to complete the project by all the male and female

students is given in

Table 13-3

.

Table 13-3:

Time to Complete the Project

Construct a 98% confidence interval for the difference (male – female) in

the mean time for completion of the project. Assume that the populations of

completion times for the male and female students are normally distributed

and that the population variances are equal.

Solution:

Again, we can use the

Small Sample Confidence Intervals for

the Difference between Two Independent Means

workbook to help with

the computations.

Figure 13-11

shows the workbook output for the

problem.

Click here for the Small Sample Confidence Interval for the Difference Between Two Independent Means Workbook