Final answer:
The null hypothesis for comparing variances is that the two populations have equal variances, while the alternative hypothesis is that the two populations have different variances. The F statistic is calculated by dividing the larger sample variance by the smaller sample variance. At the 5 percent significance level, if the p-value is less than 0.05, we can reject the null hypothesis and conclude that the variances are different.
Step-by-step explanation:
The null hypothesis for comparing variances is that the two populations have equal variances, while the alternative hypothesis is that the two populations have different variances.
The F statistic, also known as the test statistic, is calculated by dividing the larger sample variance by the smaller sample variance. To solve this, we can set up an equation to represent each person's charging structure and then equate them.
At the 5 percent significance level, if the p-value is less than 0.05, we can reject the null hypothesis and conclude that the variances are different. If the p-value is greater than 0.05, we fail to reject the null hypothesis and cannot conclude that the variances are different.