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) 992 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) 992 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
Related questions
Question
I need help with parts b,c, and d please
B is not 992
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Describe the given information
VIEWStep 2: Calculate the no. of students expected to have height less than 159 cms
VIEWStep 3: Calculate the no. of students expected to have height between 171.5 and 186 cms
VIEWStep 4: Calculate the no. of students expected to have height equal to 178 cms
VIEWStep 5: Calculate the no. of students expected to have height greater than or equal to 192 cms
VIEWSolution
VIEWStep by step
Solved in 6 steps with 38 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt