Aclothing manufacturer is examining the efficiency of its factories. all of its factories produce an average of 1250 pairs of jeans each month with a standard deviation of 125 pairs of jeans, normally distributed how many pairs of jeans produce separates the lowest 33% of the means of genes production from the highest 67% in a sampling distribution of 12 factories?

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).