The heights of 2000 students are normally distributed with a mean of 176.5 centimeters and a standard deviation of 6.6 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 162.0 centimeters? (b) between 174.5 and 186.0 centimeters inclusive? (c) equal to 178.0 centimeters? (d) greater than or equal to 194.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The heights of 2000 students are normally distributed with a mean of 176.5 centimeters and a standard deviation of 6.6
centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would
be expected to have heights
(a) less than 162.0 centimeters?
(b) between 174.5 and 186.0 centimeters inclusive?
(c) equal to 178.0 centimeters?
(d) greater than or equal to 194.0 centimeters?
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
Transcribed Image Text:The heights of 2000 students are normally distributed with a mean of 176.5 centimeters and a standard deviation of 6.6 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 162.0 centimeters? (b) between 174.5 and 186.0 centimeters inclusive? (c) equal to 178.0 centimeters? (d) greater than or equal to 194.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
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