Volvo wants to estimate the variance of miles per gallon for its auto model XC 90. A random sample of 20 cars of this model showed that the variance...

Volvo wants to estimate the variance of miles per gallon for its auto model XC 90. A random sample of 20 cars of this model showed that the variance of miles per gallon for these cars is 0.62. Test whether the sample result indicates that the population variance is different from 0.50 with the significance level, alpha = 0.05. Assume that the population from which a sample is selected is approximately normally distributed. Make a conclusion if the population variance is different from 0.50.

Select one:

a. Reject the null hypothesis because the test statistic is less than the smaller critical value. Therefore, we conclude that the population variance is different from 0.50.

b. Reject the null hypothesis because the test statistic is greater than the larger critical value. Therefore, we conclude that the population variance is different from 0.50.

c. Fail to reject the null hypothesis because the test statistic is between the two critical values. Therefore, we conclude that the population variance is not different from 0.50.

d. There isn't enough information to make a conclusion if the population variance is different from 0.50.