Question

One Way ANOVA:

You want to know if keeping people on a diet for a longer period of time will lead to greater weight loss. So you decide to run three groups of people. Those who don’t diet, those who diet for two weeks and those who diet for 4 weeks. For each group you measure the amount of weight they lost over the corresponding time period. This is what you find

Non-dieter: -1 1 0 2 -1

2-week: 2 3 5 4 1

4-week: 6 5 7 4 8

a) Compute the mean and standard error s/sqrt(n) for each group and make a bar graph

summarizing the data.

b) Compute the sum of squares for the Groups

c) Compute the sum of squares for the Error

d) What are your degrees of freedom for your Group and Error

e) Compute the Mean square for your Group

f) Compute the Mean square for your Error

g) Compute the F statistic for the above data

h) Use Table E or an online calculator and compute a P-value

i) If your alpha were 0.05, would you conclude that the diet had an effect or not?

Answer 1