A researcher is interested in the relationship between age and golf performance.

Question

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

Explanation / Answer

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

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