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# Determining Difference in Variances

10.56 A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of \$5.29 with a standard deviation of \$2.78. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was \$5.12 with a standard deviation of \$2.05. The means appear to be very close, but not the variances. At alpha = .05, is there a difference in variances? Show all steps clearly. (Data are from a project by statistics students Kim Dyer, Amy Pease, and Lyndsey Smith.)

Hypotheses

Value of the test statistic

p-value

Decision rule with the p-value

Decision

Conclusion

#### Solution Preview

Hypotheses

Here the null hypothesis is Ho: (variance of population)1 = (variance of population)2 and the alternative hypothesis is Ha: (variance of population)1 is approximately equal to (variance of population)2

Value of the test statistic ...

#### Solution Summary

The solution describes a testing of hypothesis problem using p-value approach.

\$2.19