Discuss the below:
Q: A machine used for packaging seedless golden raisins is set so that their standard deviation in the weight of raisins packaged per box is 0.25 ounce. The operations manager wishes to test the machine setting and selects a sample of 30 consecutive raisin packages filled during the production process. Their weights are as recorded on the worksheet.
Weight
15.2
15
14.3
15.3
15.2
14.4
15.1
15.4
15.5
15.7
15.6
15.4
15.3
15.7
15.2
15
15.4
15.5
15.1
15.3
15.6
14.3
14.9
15.1
14.6
14.8
15.3
14.5
14.6
15.1
a. At the 0.05 level of significance, is there evidence that the population standard deviation differs from 0.25 ounces?
b. What assumptions are made in order to perform this test?
c. What are the degrees of freedom?
d. What is the chi-statistic?