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
6
Uploaded by MinisterProtonDonkey21
3/28/24, 1:11 PM
Quiz 3: Attempt review | Courses 2023-2024
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Started on
Wednesday, January 24, 2024, 10:50 PM
State
Finished
Completed on
Thursday, January 25, 2024, 8:57 AM
Time taken
10 hours 7 mins
Points
6.00/10.00
Grade
60.00
out of 100.00
Question 1
Correct
1.00 points out of 1.00
Question 2
Not answered
Points out of 1.00
Given that X ~ N(200, 20), find the 80th percentile. (Round your answer to one decimal place)
Answer:
216.8
The correct answer is: 216.8
Birthweights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. The probability a randomly
selected infant weighs less than 85 oz is...
(Round your answer to four decimal places)
Answer:
The correct answer is: 0.0485
3/28/24, 1:11 PM
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Question 3
Correct
1.00 points out of 1.00
Question 4
Correct
1.00 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. Would either calf’s weight be considered
unusually low or high?
a.
Both calves have z-scores above 2, so both are unusually high.
b.
Bessy's weight is lower, and is considered unusually low.
c.
Both calves weigh above average, so both are unusually high.
d.
Roy’s z-score is beyond 2, so his weight is unusually high.
e.
Neither calf has a weight that is unusual.
Your answer is correct.
The correct answer is:
Roy’s z-score is beyond 2, so his weight is unusually high.
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.
Sunday - Because 1.33 is larger than -0.82
b.
Sunday - Because 2.6 is closer to 1.8 than it is to 3.5.
c.
Saturday - Because 1.1 is larger than 0.6.
d.
Saturday - Because -0.82 is closer to 0 than 1.33.
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
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Question 5
Correct
1.00 points out of 1.00
Question 6
Correct
1.00 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 weighs more than Roy.
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.
Bessy's z-score is higher, so her weight is further above the mean and weighs more relative to her breed.
d.
Roy’s z-score is higher, so his weight is further above the mean and weighs more relative to his breed.
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.
Find P(Z > 1.44). Use 4 decimal places.
Answer:
0.0749
The correct answer is: 0.0749
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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=1523915&cmid=955454
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Question 7
Incorrect
0.00 points out of 1.00
Question 8
Incorrect
0.00 points out of 1.00
Given X ~ N (100, 15), find P(75 < X < 120).
Select one:
a.
0.8608
b.
0.1392
c.
0.0443
d.
-0.0443
e.
1.0443
f.
0.9557
The correct answer is: 0.8608
In a weightlifting competition, the amount that the competitors can lift is normally distributed with μ
= 198 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:
205.25
The correct answer is: 209.44
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Question 9
Correct
1.00 points out of 1.00
Question 10
Incorrect
0.00 points out of 1.00
Given X ~ N(300, 15). The area to the right of x = 310...
Select one:
a.
is the same as the area to the left of x = 290.
b.
is the same as the area to the right of z = 0.67.
c.
is the same as the area to the left of x = 310.
d.
all of the above
e.
none of the above
f.
a. and b. only
The correct answer is:
a. and b. only
The time it takes a supercomputer to perform a task is normally distributed with mean 10 milliseconds and variance of 4 milliseconds. What is
the probability that it takes more than 16.2 milliseconds to perform the task? Select one:
a.
none of these
b.
0.0606
c.
0.8456
d.
0.9394
e.
0.2236
The correct answer is:
none of these
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