Question
In: Math
A company is developing a new high performance wax for cross country ski racing. In order...
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 55.5, 62.6, 47.2, 53.3, 47.6, 49.7, 51.4, and 41.2 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.
a) calculate the test statistic
b) calculate the p-value
Solutions
Expert Solution
We have for given sample,
Population mean for given sample=55
Sample mean=50.55
Sample standard deviation= s=6.37
Sample size =n= 8
Degree of freedom = n-1 =7
a)
t test statistic formula is
b) P value is = 0.0444...................by using Excel command =TDIST(ABS(-1.976),7,1)
or
0.025 < P value < 0.05
milcah answered 10 months agoRelated Solutions
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