A round trip from Seattle, Washington, to Orlando, Florida, is one of the longest flight paths in the continental United states. The jet stream that blows from west to east affects the flight's average speed. A plane flying nonstop from Seattle to Orlando can fly at an average of 523 miles per hour. The same plane flying from Orlando to Seattle travels at an average speed of 415 miles per hour. The full round trip takes exactly 11 hours. To the nearest mile, how far is Seattle from Orlando?

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).