Question

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?

Answer #1

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 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 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...

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...

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?

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...

Suppose the population consists of FIVE individuals and the
elements are: S= {3, 6, 9, 12, and 15} Obtain samples of size 3
(use counting rule). Obtain the population mean and variance,
sample means and variances of the distribution. Would the mean and
variance change if the sample size were to increase? Prepare two
excel tables.
a) In an excel table show the various samples (Table-1).
b) Calculate the population mean and variance (Table-1).
c) Calculate the sample mean and...

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...

1. What is a characteristic of the repeated-measure design?
A. The test requires a larger sample size compared to a
between-subjects design.
B. More than one measure is taken from each subject.
C. There are usually two groups of subjects to be compared.
D. The appropriate hypothesis test is typically
independent-samples t-test.
2. Which is the best way to reduce the variance in the
distribution of means (also called sampling distribution) when
conducting a t test?
A. Ensuring that the...

Imagine you have collected data on 1500 english students
related to depression levels, on a 100-point scale. Your
distribution of data is normal, with a mean of 52, a standard
deviation of 7.
What score is at the 95th percentile?
how many students would have deviant depression levels (using
the 5% criterion)
You are teaching a large section of CHE 100, with 117 students.
Your class is part of a larger course enrollment totaling 3000
students. For the whole course...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 33 seconds ago

asked 18 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago