A researcher is interested in the relationship between age a
A researcher is interested in the relationship between age and golf performance. The researcher claims that golf performance improves with age, that is, as one gets older, his or her golf scores decrease. [In golf, a low score represents better performance; a higher score represents worse performance.] The researcher randomly selects a group of eight golfers at the local golf course and records their ages and their most recent golf score. The data that were collected are presented below:
| Golfer’s Name | Age (years) Variable 1 | Golf Score Variable 2 |
| Diego | 23 | 92 |
| Tiger | 14 | 112 |
| Bogart | 38 | 77 |
| Marilyn | 43 | 84 |
| Jennifer | 49 | 81 |
| Mitch | 36 | 72 |
| Bubba | 61 | 79 |
| Amber | 72 | 86 |
Solution
for determine the critical value of t
this is a t test because you dont know the standard deviation, you need to calculate
also the sample is lower than 30
using tables for t distribution
degree of freedom: 8-1 = 7
alpha = 0.05
critical value is 1.895
