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 9. A confidence interval for estimating the mean 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 = 24.3 emails. The estimated standard error is SM = Use the following Distributions tool to develop a 95% confidence interval estimate of the mean number of work-related emails legal professionals receive during a typical workday. Select a Distribution Distributions The psychologist can be 95% confident that the interval from v includes the unknown population mean p. 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 p = 41.2. How would the psychologist most likely react to the news? O The psychologist would not be surprised that u 41.2, because that value is inside the cofidence interval. O The psychologist would not be surprised that u 41.2, because that value is outside the confidence interval. O The psychologist would be surprised that u 41.2, because that value is outside the confidence interval. O The psychologist would be surprised that p - 41.2, because that value is inside the confidence interval. search

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**9. A Confidence Interval for Estimating the Mean**

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 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 = 24.3 emails.

The estimated standard error is \(SE_M = \_\_\_\_\_\_\).

Use the following Distributions tool to develop a 95% confidence interval estimate of the mean number of work-related emails legal professionals receive during a typical workday.

**Graph/Diagram Explanation:**

The image contains a bell curve, which represents the normal distribution of data. The curve is labelled "Distributions" and shows a shaded area under the curve. This shaded area signifies the 95% confidence interval, illustrating that the true population mean is expected to fall within this interval 95% of the time.

---

The psychologist can be 95% confident that the interval from \_\_\_\_\_\_ to \_\_\_\_\_\_ 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?**

- [ ] The psychologist would not be surprised that μ = 41.2, because that value is inside the confidence interval.
- [ ] The psychologist would not be surprised that μ = 41.2, because that value is outside the confidence interval.
- [ ] The psychologist would be surprised that μ = 41.2, because that value is outside the confidence interval.
- [ ] The psychologist would be surprised that μ = 41.2, because that value is inside the confidence interval.
Transcribed Image Text:**9. A Confidence Interval for Estimating the Mean** 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 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 = 24.3 emails. The estimated standard error is \(SE_M = \_\_\_\_\_\_\). Use the following Distributions tool to develop a 95% confidence interval estimate of the mean number of work-related emails legal professionals receive during a typical workday. **Graph/Diagram Explanation:** The image contains a bell curve, which represents the normal distribution of data. The curve is labelled "Distributions" and shows a shaded area under the curve. This shaded area signifies the 95% confidence interval, illustrating that the true population mean is expected to fall within this interval 95% of the time. --- The psychologist can be 95% confident that the interval from \_\_\_\_\_\_ to \_\_\_\_\_\_ 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?** - [ ] The psychologist would not be surprised that μ = 41.2, because that value is inside the confidence interval. - [ ] The psychologist would not be surprised that μ = 41.2, because that value is outside the confidence interval. - [ ] The psychologist would be surprised that μ = 41.2, because that value is outside the confidence interval. - [ ] The psychologist would be surprised that μ = 41.2, because that value is inside the confidence interval.
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