Acompany produces a women's bowling ball that is supposed to weigh exactly 14 pounds. unfortunately, the company has a problem with the variability of the weight. in a sample of 7 of the bowling balls the sample standard deviation was found to be 0.64 pounds. construct a 95% confidence interval for the variance of the bowling ball weight. assume normality. a) what is the lower limit of the 95% interval? give your answer to three decimal places. b) what is the upper limit of the 95% interval? give your answer to three decimal places. c) which of the following assumptions should be checked before constructing the above confidence interval? the data need to follow a normal distribution the data need to have small variance the data need to follow a chi-square distribution the data need to be right skewed