The average selling time for houses sold last year in the greater St. Louis area and the average selling time for houses sold in the area this year appear to be about the same, but the same may not be true of variance in selling times. You take independent random samples of six of last year’s sales and six of this year’s sales. Selling times in the two samples (in days) are shown below.

a. Test the null hypothesis that the two populations represented here have equal variances. Assume that both population distributions are normal. Use a significance level of 10%. 

b. Can you make the case from this sample data that this year’s variance is greater than last year’s? Use a significance level of 5%.

Transcribed Image Text:

This year 75 50 94 4652 43 Last Year 68 55 58 54 67 58