Stat212 Statistical II B Spring 2020 Midterm 2 Name:
SHOW YOUR WORK TO EARN FULL CREDIT
1. (20 points) Susan Sound predicts that students will learnmost effectively with a constant background sound, as opposed to anunpredictable sound. She randomly divides 15 students into 2 groupsof 7 and 8 each. All students study a passage of text for 30minutes. Those in group 1 study with background sound at a constantvolume in the background. Those in group 2 study with noise thatchanges volume periodically. After studying, all students take a 10point multiple choice test over the material. Their scores have thefollowing test statistics.
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Group Constant sound Random sound
Sample size Mean Variance
8 6 4.86
7 4 2.86
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Construct the F statistic ANOVA table using data. Stat thehypotheses for ANIVA and use significance level 0.05 to test yourhypotheses. What is the p-value of the test?
Explain whether you use can conclusion above to support Susan’sprediction or not? Explain why and how.
