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Chapter 14: Hypothesis Tests – Small Samples

627

Figure 14-10

: Display of the Small Sample Test for a Single

Population Mean workbook output for

Example14-5

We can use the

P

-value approach as well to perform the hypothesis test.

:

= 32 miles

:

32 miles

:

P

-value = 0.0425 (from

Figure 14-10

)

: For a significance level of

= 0.05, reject the null hypothesis if the

P

-value = 0.0425 <

= 0.05 (5%).

Conclusion

: Since 0.0425 < 0.05, reject

. There is sufficient sample

evidence to refute the Dean’s claim. The sample evidence does not support

the Dean’s claim that the average distance commuting students travel to the

campus is 32 miles at the 5% level of significance.

Click here for the Small Sample Test for a Single Population Mean Workbook