With reference to Exercise 7.63, construct a \(99 \%\) confidence interval for the variance of the population sampled.

Data From Exercise 7.63

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7.63 A manufacturer claims that the average tar content of a certain kind of cigarette is = 14.0. In an attempt to show that it differs from this value, five measurements are made of the tar content (mg per cigarette): 14.5 14.2 14.4 14.3 14.6 Show that the difference between the mean of this sample, x = 14.4, and the average tar claimed by the manufacturer, = 14.0, is significant at a Assume normality. = 0.05.