The heights of 1500 students are normally distributed with a mean of 176.5 centimeters and a standard deviation of 7.2 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 159.0 centimeters? (b) between 171.5 and 186.0 centimeters inclusive? (c) equal to 178.0 centimeters? (d) greater than or equal to 192.0 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. (a) 11 student(s) (Round to the nearest whole number as needed.) (b) 1019 student(s) (Round to the nearest whole number as needed.) (c) ☐ student(s) (Round to the nearest whole number as needed.)
The heights of 1500 students are normally distributed with a mean of 176.5 centimeters and a standard deviation of 7.2 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 159.0 centimeters? (b) between 171.5 and 186.0 centimeters inclusive? (c) equal to 178.0 centimeters? (d) greater than or equal to 192.0 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. (a) 11 student(s) (Round to the nearest whole number as needed.) (b) 1019 student(s) (Round to the nearest whole number as needed.) (c) ☐ student(s) (Round to the nearest whole number as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Step 1: Determine the given variables.
VIEWStep 2: Find the no. of students expected to have heights less than 159 centimeters.
VIEWStep 3: Find the no. of students expected to have heights between 171.5 and 186 centimeters.
VIEWStep 4: Find the no. of students expected to have heights equal 178 centimeters.
VIEWStep 5: Find the no. of students expected to have greater than or equal to 192 centimeters.
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