The point (3,4), translated 4 units to the right, becomes [answer], then rotated 90° clockwise around the origin it becomes [answer]. The point (3,4) rotated 90° clockwise around the origin becomed [answer], then translated 4 units to the right it becomes [answer], which is not the same.

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).