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An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first she needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, she 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 hours do you work at your job on a typical workday?" For the subsample of legal professionals (n = 250), the mean response was M = 9.0 hours, with a sample standard deviation of s = 10.4 hours.

Respuesta :

Answer:

a) Standard Error = 0.6578

b) 99% confidence interval = (7.303, 10.697)

c) A population mean of 8.5 hours would not surprise the psychologist as this is within the confidence interval.

Step-by-step explanation:

a) Standard error = Standard deviation/√n

n = sample size = 250

Standard deviation = 10.4

Standard error = (10.4/√250)

Standard error = 0.6578

b) 99% confidence interval

Confidence interval = (Sample mean) ± (Margin of error)

Sample mean = 9 hours

Margin of Error = (critical value) × (standard error or standard deviation of the distribution of sample means)

Critical value for a 99% confidence interval = 2.58 (from the z-tables)

Standard error or standard deviation of the distribution of sample means = 0.6578

margin of error = 2.58 × 0.6578 = 1.697

Confidence interval = 9 ± 1.697

Lower limit of the confidence interval = 9 - 1.697 = 7.303 hours

Upper limit of the confidence interval = 9 + 1.697 = 10.697 hours

99% confidence interval = (7.303, 10.697)

c) A population mean of 8.5 hours would not surprise the psychologist as this is within the confidence interval.

Hope this Helps!!!

The standard error of the sampling distribution will be 0.6578.

How to calculate the standard error?

The standard error is simply calculated as the standard deviation divided by the square root of n. This will be:

= 10.4 / ✓250

= 0.6578

Also, the margin of error will be:

= 2.58 × (0.6578)

= 1.697

The confidence interval will be:

= (9 - 1.697)

= 7.303 hours.

Also, 9 + 1.697 = 10.697.

In conclusion, the confidence interval is (7.303, 10.697).

Learn more about standard error on:

https://brainly.com/question/25309029

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