OPRE 6301 TEST 3 EXAM QUESTIONS
AND ANSWERS 2026 VERIFIED.
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of
the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the
late evening news on this local CBS station. What is the Null hypothesis? - ANS H 0: p = 0.41
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of
the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the
late evening news on this local CBS station. What is the Alternate hypothesis? - ANS H 1: p <
0.41
If you do not reject the Null at Alpha = .05, then - ANS you will not reject it at alpha = .03
A production filling operation has a historical standard deviation of 6 ounces. When in proper
adjustment, the mean filling weight for the production process is 50 ounces. A quality control
inspector periodically selects at random 36 containers and uses the sample mean filling weight
to see if the process is in proper adjustment. Answer the following questions:
1. Is this a 2-tailed test or a 1 tail?
2. What is the z-score if you want to commit a max Type I error of 5%?
@2026/2027 ALLRIGHTS RESERVED.
, 3. If the sample mean is 48.3, would you conclude that the process is out of control?
4. If the sample mean is 52.05, would you conclude that the process is out of control?
5. What is the Lower cut-off ounces?
6. What is the Upper cut-off ounces?
7. If the inspector didn't worry about over-filling, will this be a 1 or 2 tail test? - ANS 1. 2 tail
2. 1.96
3. No.
4. Yes.
5. 48.04
6. 51.96
7. 1 tail
An appliance manufacturer claims to have developed a new toaster oven that consumes an
average of no more than 250 W. From previous studies, it is believed that power consumption
for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group
suspects the actual average is more than 250 W. They take a sample of 16 toaster ovens and
calculate the average consumption to be 260 W. Answer the following questions:
1. Would you reject the Null at 1% level of significance?
2. Would you say the toaster oven consumes more than 250 W of power if you are willing to
commit a Type 1 Error of 2.5%?
@2026/2027 ALLRIGHTS RESERVED.
AND ANSWERS 2026 VERIFIED.
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of
the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the
late evening news on this local CBS station. What is the Null hypothesis? - ANS H 0: p = 0.41
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41% of
the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the
late evening news on this local CBS station. What is the Alternate hypothesis? - ANS H 1: p <
0.41
If you do not reject the Null at Alpha = .05, then - ANS you will not reject it at alpha = .03
A production filling operation has a historical standard deviation of 6 ounces. When in proper
adjustment, the mean filling weight for the production process is 50 ounces. A quality control
inspector periodically selects at random 36 containers and uses the sample mean filling weight
to see if the process is in proper adjustment. Answer the following questions:
1. Is this a 2-tailed test or a 1 tail?
2. What is the z-score if you want to commit a max Type I error of 5%?
@2026/2027 ALLRIGHTS RESERVED.
, 3. If the sample mean is 48.3, would you conclude that the process is out of control?
4. If the sample mean is 52.05, would you conclude that the process is out of control?
5. What is the Lower cut-off ounces?
6. What is the Upper cut-off ounces?
7. If the inspector didn't worry about over-filling, will this be a 1 or 2 tail test? - ANS 1. 2 tail
2. 1.96
3. No.
4. Yes.
5. 48.04
6. 51.96
7. 1 tail
An appliance manufacturer claims to have developed a new toaster oven that consumes an
average of no more than 250 W. From previous studies, it is believed that power consumption
for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group
suspects the actual average is more than 250 W. They take a sample of 16 toaster ovens and
calculate the average consumption to be 260 W. Answer the following questions:
1. Would you reject the Null at 1% level of significance?
2. Would you say the toaster oven consumes more than 250 W of power if you are willing to
commit a Type 1 Error of 2.5%?
@2026/2027 ALLRIGHTS RESERVED.
