Scores on a statistics final in a large class were normally distributed with a mean of 79 and a standard deviation of 12 . Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 36th percentile of the scores.   (b) Find the 70th percentile of the scores.   (c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score needed to get an A?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Scores on a statistics final in a large class were normally distributed with a mean of
79
and a standard deviation of
12
. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals.

(a) Find the

36th
percentile of the scores.

 

(b) Find the

70th
percentile of the scores.

 

(c) The instructor wants to give an A to the students whose scores were in the top

12%
of the class. What is the minimum score needed to get an A?

 

(d) Between what two values are the middle

66%
of the scores? (Enter the smaller number in the first box.)

 

 
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Betwen what two values are the middle 66% of the scores?

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