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A school district reports that out of the 4586 teachers who have retired, the mean number of years those teachers have served is 28.7 with a standard deviation of 4.9 years. Note that the distribution of years of service (the shape of the distribution of the parent population) is not known. If simple random samples of 70 retired teachers are selected, what should be the shape of distribution of sample means? Select one of the choices below. O Approximately normal because the population standard deviation is known and the distribution of sample means with this large a sample size should be approximately normal regardless of the distribution of salaries. O Unknown because the distribution of years of service is unknown. O Uniform because the sample means should be distributed evenly. O Skewed right because teachers tend to work for a long time. Skewed left because teachers tend to retire early.

A school district reports that out of the 4586 teachers who have retired, the mean number of years those teachers have served is 28.7 with a standard deviation of 4.9 years. Note that the distribution of years of service (the shape of the distribution of the parent population) is not known. If simple random samples of 70 retired teachers are selected, what should be the shape of distribution of sample means? Select one of the choices below. O Approximately normal because the population standard deviation is known and the distribution of sample means with this large a sample size should be approximately normal regardless of the distribution of salaries. O Unknown because the distribution of years of service is unknown. O Uniform because the sample means should be distributed evenly. O Skewed right because teachers tend to work for a long time. Skewed left because teachers tend to retire early.

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
Section10.4: Distributions Of Data
Problem 19PFA
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Would it be skewed right since all the data would lie on the left side
A school district reports that out of the 4586 teachers who have retired, the mean number of years those teachers have served is 28.7 with a standard deviation of 4.9 years. Note that the distribution of years of service (the shape of the distribution of the parent population) is not known. If simple random samples of 70 retired teachers are selected, what should be the shape of distribution of sample means? Select one of the choices below. O Approximately normal because the population standard deviation is known and the distribution of sample means with this large a sample size should be approximately normal regardless of the distribution of salaries. O Unknown because the distribution of years of service is unknown. O Uniform because the sample means should be distributed evenly. O Skewed right because teachers tend to work for a long time. O Skewed left because teachers tend to retire early.
Transcribed Image Text:A school district reports that out of the 4586 teachers who have retired, the mean number of years those teachers have served is 28.7 with a standard deviation of 4.9 years. Note that the distribution of years of service (the shape of the distribution of the parent population) is not known. If simple random samples of 70 retired teachers are selected, what should be the shape of distribution of sample means? Select one of the choices below. O Approximately normal because the population standard deviation is known and the distribution of sample means with this large a sample size should be approximately normal regardless of the distribution of salaries. O Unknown because the distribution of years of service is unknown. O Uniform because the sample means should be distributed evenly. O Skewed right because teachers tend to work for a long time. O Skewed left because teachers tend to retire early.
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