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
A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
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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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