A confidence interval for estimating the mean An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first he needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, he has access to the 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals). One of the survey questions was, “How many work-related emails do you receive during a typical workday?” For the subsample of legal professionals (n = 250), the mean response was M = 36.7 emails, with a sample standard deviation of s = 23.8 emails. The estimated standard error is sMM? = A-0.085, B-1.341, C-0.095 or D-1.505 (choices to choose from.) . Use the following Distributions tool to develop a 90% confidence interval estimate of the mean number of work-related emails legal professionals receive during a typical workday. The psychologist can be 90% confident that the interval from (36.5, 34.8, -2.6, 34.2)-these are the choices to select to (76.0, 38.6, 36.9, 39.2)- choices to choose from. includes the unknown population mean µ. Normally the psychologist will not know the value of the population mean. But consider the (unrealistic) scenario that a census of legal professionals is conducted. The census reveals that the population mean is μ = 41.2. How would the psychologist most likely react to the news? A. The psychologist would be surprised that μ = 41.2, because that value is inside the confidence interval. B. The psychologist would not be surprised that μ = 41.2, because that value is outside the confidence interval. C. The psychologist would be surprised that μ = 41.2, because that value is outside the confidence interval. D. The psychologist would not be surprised that μ = 41.2, because that value is inside the confidence interval.

A confidence interval for estimating the mean An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first he needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, he has access to the 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals). One of the survey questions was, “How many work-related emails do you receive during a typical workday?” For the subsample of legal professionals (n = 250), the mean response was M = 36.7 emails, with a sample standard deviation of s = 23.8 emails. The estimated standard error is sMM? = A-0.085, B-1.341, C-0.095 or D-1.505 (choices to choose from.) . Use the following Distributions tool to develop a 90% confidence interval estimate of the mean number of work-related emails legal professionals receive during a typical workday. The psychologist can be 90% confident that the interval from (36.5, 34.8, -2.6, 34.2)-these are the choices to select to (76.0, 38.6, 36.9, 39.2)- choices to choose from. includes the unknown population mean µ. Normally the psychologist will not know the value of the population mean. But consider the (unrealistic) scenario that a census of legal professionals is conducted. The census reveals that the population mean is μ = 41.2. How would the psychologist most likely react to the news? A. The psychologist would be surprised that μ = 41.2, because that value is inside the confidence interval. B. The psychologist would not be surprised that μ = 41.2, because that value is outside the confidence interval. C. The psychologist would be surprised that μ = 41.2, because that value is outside the confidence interval. D. The psychologist would not be surprised that μ = 41.2, because that value is inside the confidence interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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8. A confidence interval for estimating the mean

An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first he needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, he has access to the 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals).

One of the survey questions was, “How many work-related emails do you receive during a typical workday?” For the subsample of legal professionals (n = 250), the mean response was M = 36.7 emails, with a sample standard deviation of s = 23.8 emails.

The estimated standard error is sMM? = A-0.085, B-1.341, C-0.095 or D-1.505 (choices to choose from.) .

Use the following Distributions tool to develop a 90% confidence interval estimate of the mean number of work-related emails legal professionals receive during a typical workday.

The psychologist can be 90% confident that the interval from (36.5, 34.8, -2.6, 34.2)-these are the choices to select to (76.0, 38.6, 36.9, 39.2)- choices to choose from. includes the unknown population mean µ.

Normally the psychologist will not know the value of the population mean. But consider the (unrealistic) scenario that a census of legal professionals is conducted. The census reveals that the population mean is μ = 41.2.

How would the psychologist most likely react to the news?

A. The psychologist would be surprised that μ = 41.2, because that value is inside the confidence interval.

B. The psychologist would not be surprised that μ = 41.2, because that value is outside the confidence interval.

C. The psychologist would be surprised that μ = 41.2, because that value is outside the confidence interval.

D. The psychologist would not be surprised that μ = 41.2, because that value is inside the confidence interval.

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