Answer to Question #41940 in Statistics and Probability for surya

Question

A manufacturer of paper box package claims that her manufacturing process is very accurate and that the mean length of a certain type of box 20m with a standard deviation of 0.1cm. You take a random sample of 29boxes and obtain a sample deviation of 0.15cm. Assume that the mean length of the boxes is normally disturbed. Test the null hypothesis that the true variance is 0.01 against the alternative hypothesis that the true variance is not equal to 0.01. Do you accept or reject her claim? Use 5% significance level.