When I sit and watch my students take exams, I often think to myself "I wonder...

When I sit and watch my students take exams, I often think to myself "I wonder if students with bright calculators are impacted by the pretty colors." This leads me to wonder if there is a difference in the exam scores of students with colorful calculators versus the exam scores of students with plain black calculators. To investigate further, I took a sample of past students. There were 49 students with colorful calculators with a mean exam score of 84 and a corresponding standard deviation of 4.7. There were 38 students with plain black calculators with a mean exam score of 87 and a corresponding standard deviation of 5.7. Is there sufficient evidence to suggest the mean exam scores of my STA 215 students with colorful calculators are different than the mean scores of my STA 215 students with plain black calculators?

(Calculate the difference as Black - Colorful.)

What is the value of the test statistic, and what is the p value for that test statistic? Give your answer to 2 decimal places.

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orchestra answered 11 months ago

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