James can purchase an item from several different stores or online. Which of the following is the best buy for him?

F )Buy on line for $20 plus pay shipping and handling costs of $6

G )Buy on line for $18 plus pay shipping and handling costs of $5

H )Buy at a local store where the item's regular price is $24 but is on sale for 20% off.

J )Buy at a local store where the item's regular price is $23 but you have a $5 off coupon

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).