Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides thirty-four students into three groups. All students study a passage of text for 30 minutes. Those in group1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. A one-way ANOVA is run comparing the test scores based on which group the student was in. The results are shown below: (16) Descriptives Score 95% Confidence Interval for Std. Std. Mean N ean Deviation Lower Bound Upper Bound Minimum Maximum Error Group 1 12 7.33 1.497 .432 6.38 8.28 5 10 Group 2 11 7.00 1.612 486 5.92 8.08 4 Group 3 11 5.73 1.489 .449 4.73 6.73 3 8 Total 34 6.71 1.643 282 6.13 7.28 3 10 ANOVA Score Sum of Squares df Mean Square F Sig. Between Groups 16.210 2 8.105 3.449 72.848 31 2.350 Within Groups 89.059 33 Total a) Explain why it is OK to use a one-way ANOVA (assuming data is normal). b) Find the p-value and determine if the means can all be considered equal or not using a significance level of 0.05.