A researcher wants to determine whether or not consistently studying statistics

Question

A researcher wants to determine whether or not consistently studying statistics within two hours of going to sleep and power posing improves test scores on statistic exams. She randomly selects three groups of 10 statistics students and administers a statistics exam. Group A, consistently studies statistics within two hours of going to sleep, Group B consistently studies statistics within two hours of going to sleep and incorporates power posing into their study regimen and Group C made no changes to their study habits. She investigates the null hypothesis that study habits have no effect on statistics exam scores using an ANOVA and obtains an F value of 3.5 Select the appropriate decision: O Reject Null Retain Null Insufficient information to evaluate the null hypothesis

Explanation / Answer

Null and Alternative Hypothesis:

H0: All Means are equal

H1: Not all Means are equal

Alpha = 0.05

N = 30

n = 10

Degress of Freedom:

dfBetween = a – 1 = 3-1 =2

dfWithin = N-a = 30-3 = 27

dfTotal = N-1 = 30-1 = 29

Critical Values:

Time (dfBetween, dfWithin) : (2,27) = 3.354 (Using the F Table)

Decision Rule:

If F is greater than 3.354, reject the null hypothesis

Test Statistics:

F = 3.5

Result:

Our F = 3.5, we reject the null hypothesis

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