Question

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

58.9​,

64.3​,

45.6​,

52.1​,

45.2​,

49.9​,

54.9​,

and

44.3

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​ P-value.

​P-value=

Answer 1

Here using ti-83 calculator.

first put the given sample in L1 column. And apply t-test.

p-value :

p=0.1299

conclusion:

p-value is greater than alpha=0.05 then do not reject the null hypothesis (H0).

Therefore, there is one evidence to support the claim that the mean time to finish their standard test course should be less then 55 second for a former Olympics champion.