Question: The makers of Flippin' Out Pancake Mix claim that one cup of their mix contains 11 grams of sugar. However, the mix is not uniform, so the amount of sugar varies from cup to cup. One cup of mix was taken from each of 24 randomly selected boxes. The sample variance of the sugar measurements from these 24 cups was 1.47 grams. Assume that the distribution of sugar content is approximately normal.
a. Construct the 98% confidence intervals for the population variance and standard deviation.
b. Test at the 1% significance level whether the variance of the sugar content per cup is greater than 1.0 gram.