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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 2020 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, "During the average workday, how many hours do you spend attending meetings?" For the subsample of legal professionals (n = 200), the mean response was M = 2.0 hours, with a sample standard deviation of s = 5.1 hours.

The estimated standard error is = 0.323.

The psychologist can be 99% confident that the interval from _____ to _____ includes the unknown population mean µ.

Respuesta :

mickymike92

Based on the research data, the psychologist can be 99% confident that the interval from 1.07 to 2.94 includes the unknown population mean µ.

What is confidence Interval?

A confidence interval is a range of values within which a researcher can be fairly certain that the true value of the mean can be found.

The confidence Interval of the survey above is calculated using the formula:

[tex] x ± z( σ/√n)[/tex]

where

  • x is the sample mean,
  • σ is the population standard deviation,
  • n is the sample size, and
  • z is the z-value for the selected confidence level.

From the data provided;

x = 2.0

σ = 5.1

n = 200

z = 2.576 for 99% confidence

Therefore, the confidence Interval is:

[tex] 2.0 ± 2.576( 5.1/√200)[/tex]

Confidence interval = 2.0 ± 0.93.

Therefore, the psychologist can be 99% confident that the interval from 1.07 to 2.94 includes the unknown population mean µ.

Learn more about confidence interval at: https://brainly.com/question/25779324

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