A research study was conducted to examine the impact of eating a high protein br

Question

A research study was conducted to examine the impact of eating a high protein breakfast on adolescents performance during a physical education physical fitness test. Half of the subjects received a high protein breakfast and half were given a low protein breaktast. All of the adolescents, both male and female, were given a fitness test with high scores representing better performance. Test scores are recorded below. 6. Group High Protein Low Protein 10 Males Females What would be the null hypothesis in this study? What would be the alternate hypothesis? Which test did you use? Are you able to reject your null hypothesis? Explain.

Explanation / Answer

H0: High Protein breakfast has no impact on physical fitness

HA: High Protein breakfast improves physical fitness

We use Anova test to check

As F critical is less than F value we reject the null hypothesis

Hence High Protein breakfast improves physical fitness

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance Male 2 15 7.5 12.5 2 11 5.5 4.5 2 16 8 2 2 10 5 2 2 13 6.5 4.5 Female 2 8 4 2 2 8 4 0 2 11 5.5 0.5 2 4 2 2 2 4 2 0 High Protein 10 60 6 6.666667 Low Protein 10 40 4 2.888889 ANOVA Source of Variation SS df MS F P-value F crit Rows 76 9 8.444444 7.6 0.002914 3.178893 Columns 20 1 20 18 0.002166 5.117355 Error 10 9 1.111111 Total 106 19

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