Question
You are attempting to determine the average grade (out of 100%) of students at MIT. You...
You are attempting to determine the average grade (out of 100%) of students at MIT. You have taken 100 independent random samples of size 50 from that population and calculated the sample mean (x̄ ) and a sample variance (s^2 ) of each sample.
- What distribution would you expect the 100 sample means ( x̄) you have calculated to follow? Why?
- What distribution would you expect the 100 sample variances (s^2 ) to follow?
Homework Answers
Answer #1
Not the answer you're looking for?
Similar Questions
You are attempting to determine the average grade (out of 100%) of students at MIT. You...
You are attempting to determine the average grade (out of 100%)
of students at MIT. You have taken 100 independent random samples
of size 50 from that population and calculated the sample mean (x̄
) and a sample variance (s^2 ) of each
sample.
What distribution would you expect the 100 sample means ( x̄)
you have calculated to follow? Why?
What distribution would you expect the 100 sample variances
(s^2 ) to follow?
Suppose Jack and Diane are each attempting to use a simulation to describe the sampling distribution...
Suppose
Jack
and
Diane
are each attempting to use a simulation to describe the sampling
distribution from a population that is skewed
right
with mean
50
and standard deviation
15.
JackJack
obtains 1000 random samples of size
n=55
from the population, finds the mean of the means, and
determines the standard deviation of the means.
Diane
does the same simulation, but obtains 1000 random samples of
size
n=40
from the population. Complete parts (a) through (c) below.
a) Describe the...
Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution...
Suppose Diane and Jack are each attempting to use a simulation
to describe the sampling distribution from a population that is
skewed right with mean 50 and standard deviation 15. Diane obtains
1000 random samples of size n=3 from the population, finds the
mean of the means, and determines the standard deviation of the
means. Jack does the same simulation, but obtains 1000 random
samples of size n=35 from the population. Complete parts (a)
through (c) below.
(a) Describe the...
consider the following results frmo two independent random samples taken from two populations. assume that the...
consider the following results frmo two independent random
samples taken from two populations. assume that the variances are
NOT equal.
Population 1
population 2
sample size
50
50
sample mean
35
30
sample variance
784
100
a) what is the "degrees of freedom" for these data?
b) what is the 95% confidence interval difference of the
population means?
You are interested in estimating the average height in a class of 100 students. In this...
You are interested in estimating the average height in a class
of 100 students. In this class the mean height is 65 inches and the
standard deviation is 4 inches. You take a sample of size 16 and
compute the average (mean) height of the sample which is 64 inches.
If we are sampling with replacement, how many different samples
(keeping track of order) of size 16 are possible? (Do not compute
this, just explain how to compute it.)
What...
The reading speed of second grade students in a large city is approximately normal, with a...
The reading speed of second grade students in a large
city is approximately normal, with a mean of 89 words per minute
(wpm) and a standard deviation of 10 wpm. Complete parts (a)
through (f).
(a) What is the probability a randomly selected student in the
city will read more than 94 words per minute?
The probability is ___ (Round to four decimal places as
needed.)
(b) What is the probability that a random sample of 13 second
grade students...
A statistics teacher claims that, on average, 20% of her students get a grade of A,...
A statistics teacher claims that, on average, 20% of her
students get a grade of A, 35% get a B, 25% get a C, 10% get a D,
and 10% get an F. The grades of a random sample of 100 are shown
below. Use a = 0.05 to test the claim that the grades follow the
distribution claimed by the teacher.
Grade
# of Students
A
29
B
42
C
20
D
5
F
4
A statistics teacher claims that, on average, 20% of her students get a grade of A,...
A statistics teacher claims that, on average, 20% of her
students get a grade of A, 35% get a B, 25% get a C, 10% get a D,
and 10% get an F. The grades of a random sample of 100 are shown
below. Use a = 0.05 to test the claim that the grades follow the
distribution claimed by the teacher.
Grade
# of Students
A
29
B
42
C
20
D
5
F
4
The mean balance that college students owe on their credit card is $1096 with a standard...
The mean balance that college students owe on their credit card
is $1096 with a standard deviation of $350. If all possible random
samples of size 144 are taken from this population, determine the
following:
a) name of the Sampling Distribution
b) mean and standard error of the sampling distribution of the
mean (use the correct name and symbol for each)
c) percent of sample means for a sample of 144 college students
that is greater than $1200
d) probability...
P2. Suppose you want to compare the weekly study hours of Statistics and Economics students. For...
P2. Suppose you want to compare the weekly study hours of
Statistics and Economics students. For this, a random sample of 20
students of Statistics was taken, from which an average of 3 hours
per week was obtained with a deviation. typical of 2.5h, and
another sample of 30 students of Economics independent of the
previous one, who presented an average of 2.8 h, with a deviation.
typical 2.7h. Assuming that the weekly study hours of the two types
of...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 25 minutes ago
asked 51 minutes ago
asked 51 minutes ago
asked 59 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago