a) A new machine is used to pack coffee powder. The mass of a packet follows a normal distribution with a mean, and standard deviation of 2.57 grams. A random sample of 15 packets was taken and the mass of each packet was measured to the nearest gram and recorded: i) ii) 198 204 199 205 201 200 202 202 200 203 197 197 202 199 205 Construct a 100(1-a% confidence interval for the population variance. Hence, calculate a 90% confidence interval for the population variance. Find a 99% confidence interval for the population mean.

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