The Central Limit Theorem: Homework is part of the collection col10555 written by Barbara Illowsky and Susan Dean.
~
. Suppose that you form random samples of 25 from this distribution. Let
be the random variable of averages. Let
be the random variable of sums. For
c - f , sketch the graph, shade the region, label and scale the horizontal axis for
, and find the probability.
Sketch the distributions of
and
on the same graph.
~
Find the 30th percentile for the mean.
~
Find the minimum value for the upper quartile for the sum.
0.5000
59.06
0.8536
0.1333
1530.35
0.8536
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
is approximately equal to the mean of
.
When the sample size is large,
is approximately normally distributed.
When the sample size is large, the standard deviation of
is approximately the same as the standard deviation of
.
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
average percent of fat calories.
______ ( ______ , ______ )
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.
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,
In words,
______ ( ______ , ______ )
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
average distance in feet for 49 fly balls, then
_______ ( _______ , _______ )
What is the probability that the 49 balls traveled an average of less than 240 feet? Sketch the graph. Scale the horizontal axis for
. Shade the region corresponding to the probability. Find the probability.
Find the 80th percentile of the distribution of the average of 49 fly balls.
0.0808
256.01 feet
Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from 2 to 6 pounds. We randomly survey 64 homes with children.
In words,
In words,
Find the probability that the total weight of open boxes is less than 250 pounds.
Find the 35th percentile for the total weight of open boxes of cereal.
Questions & Answers
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our perception of flavor.
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
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Source:
OpenStax, Collaborative statistics (custom online version modified by t. short). OpenStax CNX. Jul 15, 2013 Download for free at http://cnx.org/content/col11476/1.5
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