How much do you study? A survey among freshmen at a certain university revealed

Question

How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 26 and standard deviation 4. Use the TI-84 calculator to answer the following. Round the answer to two decimal places. Find the 96th percentile of the number of hours studying. The 96th percentile of the number of hours studying is 33.00 hours. Find the 34th percentile of the number of hours studying. The 34th percentile of the number of hours studying is 24.35 hours. Between what two values are the middle 84 of the hours spent studying? (enter the smaller number in the first box.) the middle 84% of the number of hours spent studying is between and hours.

Explanation / Answer

To acces the invNorm( ) on the calculator, press 2nd and then pess Vars.

(1) invNorm(0.96, 26, 4) = 33.00

(2) invNorm(0.34, 26, 4) =24.35

(3) Middle 84% meaning that left side is 8% and right side is 8% so that we have 100%.

For right side 8% is equivalent to left side 92%.

Lower Limit = invNorm(0.08, 26, 4) = 20.38

Upper Limit=invNorm(0.92, 26, 4) =31.62

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