In a statistics class, the standard deviation of the heights of all students was 3.9 inches. The standard deviation of the heights of males was 3.5 inches and the standard deviation of females was 3.4 inches. Why is the standard deviation of the entire class more than the standard deviation of the males and females considered separately? Choose the correct answer below. OA. The smaller sample size results in a smaller sample standard deviation. OB. The distribution of the heights for the entire class generally has more spread than the distribution of the heights of the individual sexes. OC. There is more dispersion in the heights of the male and female samples than the heights of the entire class. OD. The sample sizes of the male students and female students are less than the sample size of the entire class.
In a statistics class, the standard deviation of the heights of all students was 3.9 inches. The standard deviation of the heights of males was 3.5 inches and the standard deviation of females was 3.4 inches. Why is the standard deviation of the entire class more than the standard deviation of the males and females considered separately? Choose the correct answer below. OA. The smaller sample size results in a smaller sample standard deviation. OB. The distribution of the heights for the entire class generally has more spread than the distribution of the heights of the individual sexes. OC. There is more dispersion in the heights of the male and female samples than the heights of the entire class. OD. The sample sizes of the male students and female students are less than the sample size of the entire class.
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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Question
![In a statistics class, the standard deviation of the heights of all students was 3.9 inches. The standard deviation of the
heights of males was 3.5 inches and the standard deviation of females was 3.4 inches. Why is the standard deviation of the
entire class more than the standard deviation of the males and females considered separately?
Choose the correct answer below.
OA. The smaller sample size results in a smaller sample standard deviation.
OB. The distribution of the heights for the entire class generally has more spread than the distribution of the heights of
the individual sexes.
OC. There is more dispersion in the heights of the male and female samples than the heights of the entire class.
OD. The sample sizes of the male students and female students are less than the sample size of the entire class.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cb669f0-227c-4688-9ec0-27f2af2f3291%2F423de54b-4e17-475f-b252-b5402be6a1b3%2Fexrhcr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a statistics class, the standard deviation of the heights of all students was 3.9 inches. The standard deviation of the
heights of males was 3.5 inches and the standard deviation of females was 3.4 inches. Why is the standard deviation of the
entire class more than the standard deviation of the males and females considered separately?
Choose the correct answer below.
OA. The smaller sample size results in a smaller sample standard deviation.
OB. The distribution of the heights for the entire class generally has more spread than the distribution of the heights of
the individual sexes.
OC. There is more dispersion in the heights of the male and female samples than the heights of the entire class.
OD. The sample sizes of the male students and female students are less than the sample size of the entire class.
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