Thirty-five members of the sports club are going on a trip to an outdoor pursuits centre. They go in buses that can seat up to 15 people each. It costs $105 for each minibus, $6 per person for the hire of boots and safety hats. Use of the centre is $175 for the group for the day. If the total trip cost had to be divided equally, what would the price be per person?

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).