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Chapter 14: Hypothesis Tests – Small Samples

643

Table 14-3

: Data for

Example14-9

Use the

P

-value approach to test at the 5% significance level whether there

was a significant difference for the averages of the times for the two

medications.

Solution:

We will use the

Small Sample Test for the Difference betweenTwo

Independent Means

workbook to help with the computations. By using

this workbook, we will avoid all the computations. Also, we will enter these

values into the portion of the workbookwhere data are used to perform the

test. Since the standard deviations for the two populations of times are

unknown, we will have to use the results in that section.

Figure 14-19

shows the appropriate output from the workbook. Since we

are testing to determine whether there was a difference, then we will have to

use the results for a two-tailed test. Observe that the

P

-value is equal to

0.1805 for the two-tailed test so we can use the

P

-value approach to test the

hypothesis.