The last day of your trip, you decide to go on a hike. On the map of the trail, the trail is 5 centimeters long. The scale of the map is 2 centimeters to 6 miles. How many miles long is the hike? If you hike at a rate of 4 miles every 2 hours, about how long will the hike take you?

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).