Please answer the 3 part question below. Thank you!
Question 1
Recorded weight losses in lbs for 21 participants of three different diet programs were:
a) Run Hartley’s F-max test. Does evidence
suggest the variances could be different at
the α = 5% level of significance? Explain, and show any work you
can.
b) The other ANOVA conditions (normality,
independent random samples) were reasonably
satisfied, so I ran an analysis of variance, and here is the
incomplete table of output.
Please fill in the missing values.
c) What is the p-value for this ANOVA test?
Based on your p-value, is there significant
evidence at the α = 5% level of significance to suggest the actual
mean weight losses
differ? Explain.
a) NULL HYPOTHESIS H0:
ALTERNATIVE HYPOTHESIS Ha:
alpha=0.05
F= (8.96)^2/(4.45)^2
F= 4.054
k= 3
d.f= 7-1=6
F critical= 8.38
The calculated value from is smaller than the table value, the variance is homogeneous.
b)
SS | D.F | MS | F stat |
SSB=427 | 2 | 213.5 | 5.235 |
SSW=734 | 18 | 40.78 | |
TSS=1161 | 20 |
c) The p-value is .016142. The result is significant because p < .05.
Decision: REJECT NULL HYPOTHESIS H0.
Conclusion: We have sufficient evidence to conclude that there is difference in means.
Please answer the 3 part question below. Thank you! Question 1 Recorded weight losses in lbs...
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