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There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 andomly selected students how many hours of sleep they got last night. They find that the mean amournt of leep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using- 2 %3D = 0.447 hours? V20 a) No, because "hours of sleep" is not a continuous variable. b) No, because we can't be sure that the central limit theorem applies to this situation. c) No, because we don't know that the distribution of sleep hours for the population is approximately Normal. (d) No, because the sample is more than 10% of the population. (e) Yes, because all the conditions for using this formula have been met.

There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 andomly selected students how many hours of sleep they got last night. They find that the mean amournt of leep is 6.7 hours. The population standard deviation is o = 2 hours. Can we estimate the standard deviation of the sampling distribution of means by using- 2 %3D = 0.447 hours? V20 a) No, because "hours of sleep" is not a continuous variable. b) No, because we can't be sure that the central limit theorem applies to this situation. c) No, because we don't know that the distribution of sleep hours for the population is approximately Normal. (d) No, because the sample is more than 10% of the population. (e) Yes, because all the conditions for using this formula have been met.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The number of siblings an individual has varies from student to student. The distribution of number of siblings is strongly skewed to the right. The central limit theorem says that (a) as we look at more and more students, their mean number of siblings gets even closer to the mean u for all students (b) the mean number of siblings for any number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students. (c) the mean number of siblings for any number of students has a distribution that is close to Normal. (d) the mean number of siblings for a large number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students. (e) the mean number of siblings for a large number of students has a distribution that is close to Normal. There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o=2 hours. Can we estimate the standard deviation of the sampling distribution of means by using = = 0.447 hours? 2 %3D V20 (a) No, because "hours of sleep" is not a continuous variable. (b) No, because we can't be sure that the central limit theorem applies to this situation. (c) No, because we don't know that the distribution of sleep hours for the population is approximately Normal. (d) No, because the sample is more than 10% of the population. (e) Yes, because all the conditions for using this formula have been met.
Transcribed Image Text:The number of siblings an individual has varies from student to student. The distribution of number of siblings is strongly skewed to the right. The central limit theorem says that (a) as we look at more and more students, their mean number of siblings gets even closer to the mean u for all students (b) the mean number of siblings for any number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students. (c) the mean number of siblings for any number of students has a distribution that is close to Normal. (d) the mean number of siblings for a large number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students. (e) the mean number of siblings for a large number of students has a distribution that is close to Normal. There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last night. They find that the mean amount of sleep is 6.7 hours. The population standard deviation is o=2 hours. Can we estimate the standard deviation of the sampling distribution of means by using = = 0.447 hours? 2 %3D V20 (a) No, because "hours of sleep" is not a continuous variable. (b) No, because we can't be sure that the central limit theorem applies to this situation. (c) No, because we don't know that the distribution of sleep hours for the population is approximately Normal. (d) No, because the sample is more than 10% of the population. (e) Yes, because all the conditions for using this formula have been met.
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