A Using alpha 005 determine if there is a difference in the
A) Using alpha = 0.05, determine if there is a difference in the variance of the driving distance between these two golf clubs
Solution
a) alpha = significance level = 5%
mu1 = average of Callaway and mu2 = average of nike
Comparison of two means with sample size = 10 each
Set up hypotheses as:
H0: mu1 = mu2
Ha: mu1 not equals mu2
Two tailed test.
As sample size is small, t test can be used
As p >0.7725, accept null hypothesis that the two means are equal.
There is no statistically significant difference between the two types.
| Group I | Group II | diff | |
| Mean | 194.3 | 196.4 | -2.1 |
| SD | 10.37 | 20.11 | 7.154 |
| SEM | 3.28 | 6.36 | |
| N | 10 | 10 | |
| df | 18 | ||
| t | 0.2935 | ||
| p | 0.7725 |
