A fast food restaurant that sells burritos is concerned abou

A fast food restaurant that sells burritos is concerned about the variability in the amount of filling that different employees place in the burritos. To achieve product consistency they need the standard deviation of filling weight to be no more 1.5 ounces. A sample of n = 14 burritos showed a sample variance of 2.49 ounces. Using a 0.10 level of significance, report the critical value of chi-square to three decimal places.
Report the chi-square test statistic for this test

Solution

The degree of freedom =n-1=14-1=13

Given a=0.1, the critical value of chisquare with 0.1 and df=13 is 7.042 (from chisquare table)

The test statistic is

Chisquare= (n-1)*s^2/o^2

=13*2.49/1.5^2

=14.387