a) What are the null and alternative hypotheses for this study? What statistical test should be used for this study? Justify your answer. b) Calculate your appropriate test statistic. Please show all of your work. c) Assume that the graduate set α to 0.05 during the design phase of their study. State the final conclusion for this study based on α. Do any of the means differ from one another? If so, which one(s)? Please justify your answer. - Illustrate your results graphically using Excel histograms that show the mean, a measure of variability, and which means are different.
4. A graduate student in Health and Human Performance is interested in the effects of background noise on learning. He finds 18 undergraduate students who are willing to be part of the experiment. Well, the $100 Amazon gift card made it easy to find participants quickly. In any case, the students were randomly assigned to one of three treatments: 1) constant background noise; 2) random background noise; and 3) no background noise. The students were given material to study for one hour under these conditions. After that one hour, each student took a 20-point multiple-choice test. The scores for each student were as follows:
constant noise: 16,17,14,15,16,13
random noise: 18,13,12,15,12,11
no noise: 20,19,18,16,15,17
a) What are the null and alternative hypotheses for this study? What statistical test should be used for this study? Justify your answer.
b) Calculate your appropriate test statistic. Please show all of your work.
c) Assume that the graduate set α to 0.05 during the design phase of their study.
State the final conclusion for this study based on α. Do any of the means differ from one another? If so, which one(s)? Please justify your answer.
- Illustrate your results graphically using Excel histograms that show the mean, a measure of variability, and which means are different.
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