1. A researcher wants to know what kind of exercising is most likely to lead to improve people's moods. He has participants engage in one month of regular workouts (cardio, weight training, or yoga) and then has them do a mood measure (1-10, higher scores = better mood). Is there a significant difference in groups? Hand calculate the ANOVA using a significance level of .05.

Cardio Weights Yoga

8 9 7

7 5 9

8 7 9

4 6 10

Hypothesis : Ho: 1 = 2 = 3

Ha: Not all means are equal

Fcrit = Fc = 4.256, reject H0 if test statistic F > 4.256

test statistic F= 1.979

fail to Reject H0.

Source of Variation	SS	df	MS	Fobt
Between groups
Within groups (error)
Total

Conclusion:

1. Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver's head during a crash test is significantly different for each type of car. Hand calculate the ANOVA using a significance level of .05.

Compact cars Midsize cars Full-size cars

6 4 9

6 4 8

7 5 5

Hypotheses:

F_crit/threshold:

Source of Variation	SS	df	MS	Fobt
Between groups
Within groups (error)
Total

Conclusion: