Question

A researcher is interested in whether students randomly assigned to 1 of 3 sleep deprivation conditions (i.e., low, medium, or high sleep deprivation) perform the same, on average, on a math exam. Assume alpha = 0.05, and there are 10 students in each condition. (SS_total= 16,071       and      SS_within= 7,880)

Please sketch and complete the following table on scratch paper to help with Questions 25-34:

Source	SS	df	MS	F
Between
Within				-------
Total			-------	-------

What is the MS_Within?

Answer 1

Given

SStotal = 16,071

SSwithin = 7,880

N = Total number of observations = 3 * 10 = 30

k = number of treatments = 3

So,

We know that

SStotal = SSbetween + SSwithin

So,

16071 = SSbetween + 7880

SSbetween = 16071 - 7880 = 8191

Now

So,

Given

Critical value:

( from F-distribution table)

Decision:

Since the calculated F value is greater than tabulated F value, reject H0.

ANOVA TABLE

Source	SS	df	MS	F
Between	8191	2	4095.5	14.03
Within	7880	27	291.85
Total	16071	29