1. The mean height of the students in Grade 12 Newton is 125 cm and has a standard deviation of 3.5 cm. Assuming the heights are normally distributed, what percent of the heights is: a. Greater than 135 cm b. Less than 128 cm c. Between 115 and 130 cm of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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I1. Solve the following problems.
Complete your answer using the standard normal distribution that includes graph, and
interpretation.
1. The mean height of the students in Grade 12 Newton is 125 cm and has a standard
deviation of 3.5 cm. Assuming the heights are normally distributed, what percent of the
heights is:
a. Greater than 135 cm
b. Less than 128 cm
C. Between 115 and 130 cm
2. Consider the normal distribution of 1Qs with mean of 100 and a standard deviation of
16. What percentages of IQs are;
a. Greater than 95
b. Between 90 and 110
C. Less than 120
3. Given a normal distribution with population mean of 42 and population variance of 16,
find the value of x that leaves 12.3% of the area to the right of z-score of x?
4. Find the upper 10% of the normal curve. (hint: the shaded region to the right of z-score)
Transcribed Image Text:I1. Solve the following problems. Complete your answer using the standard normal distribution that includes graph, and interpretation. 1. The mean height of the students in Grade 12 Newton is 125 cm and has a standard deviation of 3.5 cm. Assuming the heights are normally distributed, what percent of the heights is: a. Greater than 135 cm b. Less than 128 cm C. Between 115 and 130 cm 2. Consider the normal distribution of 1Qs with mean of 100 and a standard deviation of 16. What percentages of IQs are; a. Greater than 95 b. Between 90 and 110 C. Less than 120 3. Given a normal distribution with population mean of 42 and population variance of 16, find the value of x that leaves 12.3% of the area to the right of z-score of x? 4. Find the upper 10% of the normal curve. (hint: the shaded region to the right of z-score)
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