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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here