Quiz 3_ Attempt review _ Courses 2023-2024
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School
North Carolina State University *
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Course
311
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
5
Uploaded by MinisterProtonDonkey21
3/28/24, 1:11 PM
Quiz 3: Attempt review | Courses 2023-2024
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1/5
Started on
Wednesday, January 24, 2024, 8:39 PM
State
Finished
Completed on
Wednesday, January 24, 2024, 10:50 PM
Time taken
2 hours 10 mins
Points
7.00/10.00
Grade
70.00
out of 100.00
Question 1
Correct
1.00 points out of 1.00
Question 2
Correct
1.00 points out of 1.00
Find P(Z > 0.48). Use 4 decimal places.
Answer:
0.3156
The correct answer is: 0.3156
A restaurant opens at the same time on Saturday and Sunday mornings. They record the arrival time of each guest on Saturdays and
Sundays and conclude that the arrival time (after opening) on Saturdays is normal with a mean of 3.5 hours and a standard deviation of 1.1
hours, and on Sundays is normal with a mean of 1.8 hours and a standard deviation of 0.6 hours. If a patron arrives at the restaurant 2.6 hours after opening, is it more likely to be a Saturday or a Sunday?
Select one:
a.
Saturday - Because 1.1 is larger than 0.6.
b.
Sunday - Because 1.33 is larger than -0.82
c.
Saturday - Because -0.82 is closer to 0 than 1.33.
d.
Sunday - Because 2.6 is closer to 1.8 than it is to 3.5.
Your answer is correct.
The correct answer is:
Saturday - Because -0.82 is closer to 0 than 1.33.
3/28/24, 1:11 PM
Quiz 3: Attempt review | Courses 2023-2024
https://moodle-courses2324.wolfware.ncsu.edu/mod/quiz/review.php?attempt=1522346&cmid=955454
2/5
Question 3
Incorrect
0.00 points out of 1.00
Question 4
Correct
1.00 points out of 1.00
The time it takes a supercomputer to perform a task is normally distributed with mean 12 milliseconds and variance of 4 milliseconds. What is
the probability that it takes more than 17.2 milliseconds to perform the task? Select one:
a.
0.0968
b.
0.9032
c.
0.2236
d.
none of these
e.
0.8456
The correct answer is:
none of these
Given X ~ N(300, 15). The area to the right of x = 320...
Select one:
a.
is the same as the area to the left of x = 280.
b.
is the same as the area to the right of z = 1.33.
c.
is the same as the area to the left of x = 320.
d.
all of the above
e.
none of the above
f.
a. and b. only
The correct answer is:
a. and b. only
3/28/24, 1:11 PM
Quiz 3: Attempt review | Courses 2023-2024
https://moodle-courses2324.wolfware.ncsu.edu/mod/quiz/review.php?attempt=1522346&cmid=955454
3/5
Question 5
Correct
1.00 points out of 1.00
Question 6
Incorrect
0.00 points out of 1.00
Cattle are bred for different purposes, and each breed has different characteristics (size, color, demeanor, etc.). Hereford cattle are usually
bred for beef. At birth, Hereford calves have a mean weight of about 78.6 lbs with a standard deviation of 8.1 lbs. Holstein cattle are usually
bred for milk. Holstein calves have a mean birth weight of 90 lbs and a standard deviation of 5.8 lbs.
Roy, a Hereford calf, weighs 96.6 lbs at birth. Bessy, a Holstein calf, weighs 100.5 lbs at birth. Which of these two calves weighs more relative
to their own breed?
a.
Bessy's z-score is higher, so her weight is further above the mean and weighs more relative to her breed.
b.
The difference between Roy's weight and the mean (21) is greater than the difference between Bessy's weight and the mean (10.5),
so Roy weighs more.
c.
Roy’s z-score is higher, so his weight is further above the mean and weighs more relative to his breed.
d.
Bessy weighs more than Roy.
e.
We cannot make this comparison because they do not follow the same distribution.
Your answer is correct.
The correct answer is:
Roy’s z-score is higher, so his weight is further above the mean and weighs more relative to his breed.
Cattle are bred for different purposes, and each breed has different characteristics (size, color, demeanor, etc.). Hereford cattle are usually
bred for beef. At birth, Hereford calves have a mean weight of about 78.6 lbs with a standard deviation of 8.1 lbs. Holstein cattle are usually
bred for milk. Holstein calves have a mean birth weight of 90 lbs and a standard deviation of 5.8 lbs.
Roy, a Hereford calf, weighs 96.6 lbs at birth. Bessy, a Holstein calf, weighs 100.5 lbs at birth. Would either calf’s weight be considered
unusually low or high?
a.
Roy’s z-score is beyond 2, so his weight is unusually high.
b.
Both calves have z-scores above 2, so both are unusually high.
c.
Both calves weigh above average, so both are unusually high.
d.
Neither calf has a weight that is unusual.
e.
Bessy's weight is lower, and is considered unusually low.
Your answer is incorrect.
The correct answer is:
Roy’s z-score is beyond 2, so his weight is unusually high.
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3/28/24, 1:11 PM
Quiz 3: Attempt review | Courses 2023-2024
https://moodle-courses2324.wolfware.ncsu.edu/mod/quiz/review.php?attempt=1522346&cmid=955454
4/5
Question 7
Correct
1.00 points out of 1.00
Question 8
Correct
1.00 points out of 1.00
Question 9
Correct
1.00 points out of 1.00
A locomotive’s “adhesion” is the locomotive’s pulling force as a multiple of its weight. This is an important performance measure of a
locomotive. A diesel locomotive model has adhesion which varies in actual use according to a Normal distribution with mean 0.36 and
standard deviation 0.05. What is the probability that a randomly selected diesel locomotive has an adhesion less than 0.32? (Round your answer to 4 decimal places)
Answer:
0.2119
The correct answer is: 0.2119
Given that X ~ N(250, 15), find the 80th percentile. (Round your answer to one decimal place)
Answer:
262.6
The correct answer is: 262.6
Given X ~ N (100, 15), find P(80 < X < 140).
Select one:
a.
0.0956
b.
0.9962
c.
0.9044
d.
0.9099
e.
1.0880
f.
0.0880
The correct answer is: 0.9044
3/28/24, 1:11 PM
Quiz 3: Attempt review | Courses 2023-2024
https://moodle-courses2324.wolfware.ncsu.edu/mod/quiz/review.php?attempt=1522346&cmid=955454
5/5
Question 10
Incorrect
0.00 points out of 1.00
In a weightlifting competition, the amount that the competitors can lift is normally distributed with μ
= 196 kg and σ
= 11 kg. Only the top 15%
of all competitors will be able to advance to the next phase of the competition. What amount must a competitor lift in order to move into the
next phase of the competition? Round your answer to 2 decimals.
Answer:
205.24
The correct answer is: 207.44
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