When I sit and watch my students takeexams, I often think to myself \"I wonder if students with brightcalculators are impacted by the pretty colors.\" This leads me towonder if there is a difference in the exam scores of students withcolorful calculators versus the exam scores of students with plainblack calculators. To investigate further, I took a sample of paststudents. There were 49 students with colorful calculators with amean exam score of 84 and a corresponding standard deviation of4.7. There were 38 students with plain black calculators with amean exam score of 87 and a corresponding standard deviation of5.7. Is there sufficient evidence to suggest the mean exam scoresof my STA 215 students with colorful calculators are different thanthe mean scores of my STA 215 students with plain blackcalculators?
(Calculate the difference asBlack - Colorful.)
What is the value of the test statistic, and what is the p valuefor that test statistic? Give your answer to2 decimal places.
