A factory owner is told to reduce their air emissions from the emissions stack at the production facility using a filter to catch particulate matter Particulate matter emitted is normally distributed with a mean of 35 2 micrograms for a 24 hour period This factory will face penalties if the particulate matter is not reduced, so the owner wants to be sure that the filter is working and reducing particulate matter emitted The owner collects 9 samples (each from 24 hour period) and found that the mean particulate matter emitted is 32 93 with a standard deviation of 2 70 Using a 0 01 significance level, test the claim that the mean particulate matter emitted with the filter is lower than 35 2 micrograms per 24 hours What should you conclude Reject the H 0 due to insufficient evidence and conclude that the mean particulate matter emitted with the filter is lower than 35 2 micrograms per 24 hours Reject the H 0 due to sufficient evidence and conclude that the mean particulate matter emitted with the filter is lower than 35 2 micrograms per 24 hours Accept the H 0 due to sufficient evidence and conclude that the mean particulate matter emitted with the filter is lower than 35 2 micrograms per 24 hours Fail to reject the H 0 due to insufficient evidence and conclude that the mean particulate matter emitted with the filter is not lower than 35 2 micrograms per 24 hours Fail to reject the H 0 due to sufficient evidence and conclude that the mean particulate matter emitted with the filter is not lower than 35 2 micrograms per 24 hours

The Answer is in the image, click to view ...

Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on May 19, 2024

A factory owner is told to reduce their air emissions from the emissions stack at the production facility using a filter to catch particulate matter.

A factory owner is told to reduce their air emissions from the emissions stack at the production facility using a filter to catch particulate matter. Particulate matter emitted is normally distributed with a mean of 35.2 micrograms for a 24-hour period. This factory will face penalties if the particulate matter is not reduced, so the owner wants to be sure that the filter is working and reducing particulate matter emitted. The owner collects 9 samples (each from 24-hour period) and found that the mean particulate matter emitted is 32.93 with a standard deviation of 2.70. Using a 0.01 significance level, test the claim that the mean particulate matter emitted with the filter is lower than 35.2 micrograms per 24-hours. What should you conclude?

Reject the H₀due to insufficient evidence and conclude that the mean particulate matter emitted with the filter is lower than 35.2 micrograms per 24-hours.
Reject the H₀ due to sufficient evidence and conclude that the mean particulate matter emitted with the filter is lower than 35.2 micrograms per 24-hours.
Accept the H₀ due to sufficient evidence and conclude that the mean particulate matter emitted with the filter is lower than 35.2 micrograms per 24-hours.
Fail to reject the H₀ due to insufficient evidence and conclude that the mean particulate matter emitted with the filter is not lower than 35.2 micrograms per 24-hours.
Fail to reject the H₀ due to sufficient evidence and conclude that the mean particulate matter emitted with the filter is not lower than 35.2 micrograms per 24-hours.