Supposed you are buying a triple deck ice cream cone with vanilla, strawberry, and chocolate as possible flavors. the flavors can be repeated and we will consider two cones to be different if the flavors are the same but occur in different order. how many possible cones have different flavor for all three scoops?

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).