While working at Jimmy John's last week, Hal noticed that he was running out of lettuce and became suspicious that the manufacturer was underfilling the lettuce bags. To see if the bags have the stated weight of 15 pounds, he randomly selected 13 bags and found a sample mean of 14.39 pounds with a sample standard deviation of 0.539 pounds. Is this enough evidence that the bags are being underfilled

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).