Han and Leila live 7 miles apart. They decide to start walking toward each other's houses at the same time. Leila walks at a rate of 2.5 miles per hour and Han walks at a rate of 3 miles
per hour. How long will it take for them to meet?

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).