Homework problems for Central Limit Theorem for the textbook collection Collaborative Statistics by Susan Dean and Dr. Barbara Illowsky; their original module has been modified to include more questions about CLT for means and eliminate questions about CLT for sums.
$X$ ~
$N(\text{60},9)$ . Suppose that you form random samples of 25 from this distribution. Let
$\overline{X}$ be the random variable of averages. For
c - f , sketch the graph, shade the region, label and scale the horizontal axis for
$\overline{X}$ , and find the probability.
Sketch the distributions of
$X$ and
$\overline{X}$ on the same graph.
Determine which of the following are true and which are false. Then, in complete sentences, justify your answers.
When the sample size is large, the mean of
$\overline{X}$ is approximately equal to the mean of
$X$ .
When the sample size is large,
$\overline{X}$ is approximately normally distributed.
When the sample size is large, the standard deviation of
$\overline{X}$ is approximately the same as the standard deviation of
$X$ .
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen.
Let
$\overline{X}=$ average percent of fat calories.
$\overline{X}\text{~}$ ______ ( ______ , ______ )
For the group of 16, find the probability that the average percent of fat calories consumed is more than 5. Graph the situation and shade in the area to be determined.
Find the first quartile for the average percent of fat calories.
$N(\text{36},\frac{\text{10}}{\sqrt{\text{16}}})$
1
34.31
Previously, De Anza statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students.
In words,
$X=$
$X\text{~}$
In words,
$\overline{X}=$
$\overline{X}\text{~}$ ______ ( ______ , ______ )
Find the probability that an individual had between $0.80 and $1.00. Graph the situation and shade in the area to be determined.
Find the probability that the average of the 25 students was between $0.80 and $1.00. Graph the situation and shade in the area to be determined.
Explain the why there is a difference in (e) and (f).
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.
If
$\overline{X}=$ average distance in feet for 49 fly balls, then
$\overline{X}\text{~}$ _______ ( _______ , _______ )
What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for
$\overline{X}$ . Shade the region corresponding to the probability. Find the probability.
Find the 80th percentile of the distribution of the average of 49 fly balls.
Note: Problem has been changed from original version of textbook.
Suppose that the duration of a particular type of criminal trial is known to have a mean of 21 days and a standard deviation of 7 days. We randomly sample 25 trials.
Find the probability that the average length of the 25 trials is at least 24 days.
Find the 10th percentile for the average length for samples of 25 trials of this type.
can you tell how can i economics honurs(BSC) in reputed college?
Soumya
through hard study and performing well than expected from you
Mitiku
what should i prepare for it?
Soumya
prepare first, in psychologically as well as potentially to sacrifice what's expected from you, when I say this I mean that you have to be ready, for every thing and to accept failure as a good and you need to change them to potential for achievement of ur goals
Demand refers to the quantity of products that consumers are willing to purchase at various prices per time while Supply has to do with the quantity of products suppliers are willing to supply at various prices per time. find the difference in between
Saye
Please what are the effects of rationing
Effect of black market
Effects of hoarding
I want to know wen does the demand curve shift to the right
Nana
demand curve shifts to the right when there's an increase in price of a substitute or increase in income
kin
ask me anything in economics, I promise to try and do justice to the question, you can send me an email or message, I will answer
kin
what are the factor that change the curve right
Nana
explain the law of supply in simple .....
freshwater
the Law of supply: states that all factor being equal, when the price of a particular goods increase the supply will also increase, as it decreases the supply will also decrease
kin
@Nana
the factor that changes or shift the d demand curve to the right is
1) the increase in price of a substitute good or commodity
2) increase in income
kin
you can send your questions
I am Comr. Kin chukwuebuka
kin
different between bill of exchange n treasure bill
Nana
yes
Ada
so would you tell me what means an apportunity cost plz?
Cali
what is true cost
Akiti
your question isn't correct naadi
Anthonia
define an apportunity cost?
Cali
orukpe ,is my question whats wrong or u dont know anything?
Cali
In a simple term, it is an Alternative foregone.
Sule
opportunity cost is the next best value of a scale of preference
Akiti
Both of you are not correct.
Nelly
opportunity cost: is a forgone alternative
kin
Monopoly is where is one producer produces a given product with no close substitute
Researchers demonstrated that the hippocampus functions in memory processing by creating lesions in the hippocampi of rats, which resulted in ________.
Source:
OpenStax, Collaborative statistics homework book: custom version modified by r. bloom. OpenStax CNX. Dec 23, 2009 Download for free at http://legacy.cnx.org/content/col10619/1.2
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