The distribution of weights of bags of a particular brand of potatoe chips is normally distributed with a mean of 9 ounces and and standard deviation of 0.1 ounces.
For quality control purposes, the manufacturer has to throw out bags that weigh less than 8.8 ounces. If the company makes 5000
bags of chips in one day, how many would they expect to throw out?

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).