A clinic developed a diet to impact body mass (fat and muscle).A nutritionist in the clinic hypothesizes that heavier individualson the diet will predict more body fat. Below are the data for asample of clients from the clinic. Weight is measured in kilograms(kg) and percentage body fat is estimated through skinfoldmeasurement. What can the nutritionist conclude with an α of0.05?
| Weight | Fat |
|---|
67
68
94
101
67
83
74
78
60
90
90 | 29
28
25
24
30
26
30
26
31
24
30 |
a) What is the appropriate statistic?
---Select--- na Correlation Slope Chi-Square
Compute the statistic selected a):
b) Compute the appropriate test statistic(s) tomake a decision about H0.
(Hint: Make sure to write down the null and alternative hypothesesto help solve the problem.)
Critical value =Â Â ; Test statistic =
Decision:Â Â ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) andindicate magnitude(s).
If not appropriate, input and/or select \"na\" below.
Effect size =Â Â ; Â Â ---Select--- na trivialeffect small effect medium effect large effect
d) Make an interpretation based on theresults.
More weight of individuals on the diet significantly predictsmore body fat.More weight of individuals on the diet significantlypredicts less body fat.    The weight ofindividuals on the diet does not significantly predict bodyfat.
