Please answer quick! ### Evaluating the Effect of a New Email Priority Policy in a Large Corporation#### Scenario Description:A professional employee in a large corporation receives an average of \( \mu = 42.9 \) emails per day. Most of these emails are from other employees within the company. Due to the large number of emails, employees often find themselves distracted and unable to concentrate on their tasks upon returning to them. To mitigate this issue, the company implemented a priority list protocol that employees must use before sending an email. #### Data Collection:One month after this new priority list was enforced, a random sample of 42 employees revealed that they were receiving an average of \( \overline{x} = 36.6 \) emails per day.Additionally, data from the company’s computer server, which routes the emails, indicated that the standard deviation \( \sigma = 17.7 \).#### Hypothesis Testing:To determine whether the policy has affected the average number of emails received per day (either increased or decreased), a statistical test is conducted using a significance level of 5%.**Question:**Given the 5% level of significance, test the claim that there's been a change in the average number of emails received per day per employee. What is the level of significance?**Options:**- \( \alpha = 0.10 \)- \( \alpha = 0.90 \)- \( \alpha = 0.95 \)- \( \alpha = 0.15 \)- \( \alpha = 0.05 \)**Explanation:**In hypothesis testing, the level of significance (\( \alpha \)) is the threshold for determining whether a given hypothesis test's result is statistically significant. A common choice for this threshold in many studies is 5%, or 0.05.Given the problem statement, the correct level of significance is \( \alpha = 0.05 \).### Conclusion:The correct response to the question regarding the level of significance to test the claim is:\[ \alpha = 0.05 \]This example illustrates how to set up a hypothesis test to evaluate changes caused by new policies in a corporate setting based on sampled data.

Sample size(n)=42sample mean()=36.6Population standard deviation()=17.7

A professional employee in a large corporation receives an average of = 42.9 e-mails per day. Most of these e-mails are from other employees in the company. Because of the large number of e-mails, employees find themselves distracted and are unable to concentrate when they return to their tasks. In an effort to reduce distraction caused by such interruptions, one company established a priority list that all employees were to use before sending an e-mail. One month after the new priority list was put into place, a random sample of 42 employees showed that they were receiving an average of x=36.6 e-mails per day. The computer server through which the e-mails are routed showed that o 17.7. Has the new policy had any effect? Use a 5% level of significance to test the claim that there has been a change (either way) in the average number of e-mails received per day per employee. What is the level of significance? Ο α = 0.10 O α=0.90 α=0.95 α = 0.15 α = 0.05

A professional employee in a large corporation receives an average of = 42.9 e-mails per day. Most of these e-mails are from other employees in the company. Because of the large number of e-mails, employees find themselves distracted and are unable to concentrate when they return to their tasks. In an effort to reduce distraction caused by such interruptions, one company established a priority list that all employees were to use before sending an e-mail. One month after the new priority list was put into place, a random sample of 42 employees showed that they were receiving an average of x=36.6 e-mails per day. The computer server through which the e-mails are routed showed that o 17.7. Has the new policy had any effect? Use a 5% level of significance to test the claim that there has been a change (either way) in the average number of e-mails received per day per employee. What is the level of significance? Ο α = 0.10 O α=0.90 α=0.95 α = 0.15 α = 0.05

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Please answer quick!

### Evaluating the Effect of a New Email Priority Policy in a Large Corporation

#### Scenario Description:
A professional employee in a large corporation receives an average of \( \mu = 42.9 \) emails per day. Most of these emails are from other employees within the company. Due to the large number of emails, employees often find themselves distracted and unable to concentrate on their tasks upon returning to them.

To mitigate this issue, the company implemented a priority list protocol that employees must use before sending an email.

#### Data Collection:
One month after this new priority list was enforced, a random sample of 42 employees revealed that they were receiving an average of \( \overline{x} = 36.6 \) emails per day.

Additionally, data from the company’s computer server, which routes the emails, indicated that the standard deviation \( \sigma = 17.7 \).

#### Hypothesis Testing:
To determine whether the policy has affected the average number of emails received per day (either increased or decreased), a statistical test is conducted using a significance level of 5%.

**Question:**
Given the 5% level of significance, test the claim that there's been a change in the average number of emails received per day per employee. What is the level of significance?

**Options:**
- \( \alpha = 0.10 \)
- \( \alpha = 0.90 \)
- \( \alpha = 0.95 \)
- \( \alpha = 0.15 \)
- \( \alpha = 0.05 \)

**Explanation:**
In hypothesis testing, the level of significance (\( \alpha \)) is the threshold for determining whether a given hypothesis test's result is statistically significant. A common choice for this threshold in many studies is 5%, or 0.05.

Given the problem statement, the correct level of significance is \( \alpha = 0.05 \).

### Conclusion:
The correct response to the question regarding the level of significance to test the claim is:

\[ \alpha = 0.05 \]

This example illustrates how to set up a hypothesis test to evaluate changes caused by new policies in a corporate setting based on sampled data.

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