Professor Carlton is performing a statistical analysis on the final grades of the students in his seminar. He wishes to find out what percentage of his students lie within 2 standard deviations of the mean. His students' final grades are below. 95, 75, 85, 85, 75, 85, 95, 85, 75, 85 Follow the steps to help Professor Carlton complete his study. Complete parts (a) through (f) below. a) Calculate the mean of the students' grades. The mean is 84 . (Simplify your answer.) b) Calculate the standard deviation of the students' grades. The standard deviation is (Round to the nearest thousandth as needed.)

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.