Question

1. A company is developing a new high performance wax for cross country ski racing. In order to justify the price marketing​ wants, the wax needs to be very fast.​ Specifically, the mean time to finish their standard test course should be less than 55 seconds for a former Olympic champion. To test​ it, the champion will ski the course 8 times. The​ champion's times​ (selected at​ random) are 56.3, 64.4, 48.9, 50.4, 49.8, 47.1, 52.4, and 42.7 seconds to complete the test course. Should they market the​ wax? Assume the assumptions and conditions for appropriate hypothesis testing are met for the sample. Use 0.05 as the​ P-value cutoff level.

Calculate the test statistic -

Calculate the p-value -

2. Census data for a certain county show that 18% of the adult residents are Hispanic. Suppose 71 people are called for jury duty and only 10 of them are Hispanic.

Calculate the test statistic -

Calculate the p-value - .

Answer 1