Friday, June 26, 2009
Friday, May 1, 2009
soal
WEEKLY 2
The annual income distribution of a very small residential complex is shown in the above income distribution Table.
A. The Simulation
With your team, simulate a sampling experiment:
1. Take a random sample of size two, 30 times:
a. Set the distribution table.
b. Plot the sample distribution histogram.
c. Find the average value of your samples.
2. Take a random sample of size ten, 30 times:
a. Set the distribution table.
b. Plot the sample distribution histogram.
c. Find the average value of the samples.
(In your Open Source: Show the Forming-Storming-Norming-Performing of your team
in conducting the COMPLETE process of this simulation - PRESENTATION IN CLASS).
B. Answer the following
1. What is the MEAN of the population?
2. What the average value of the samples of size 2?
3. What is the average value of the samples of size 10?
4. Does the distribution of annual income looks like a Normal Distribution?
5. Does the Distribution of samples of size 2 look like a Normal Distribution?
6. Does the Distribution of samples of size 10 look like a Normal Distribution?
7. (Related to No.5 and No.6) Which Distribution looks more like a Normal Distrbution (Size 2 or Size 10)?
8. From the simulation runs, draw conclusions with respect to:
a. Central Limit Theorem.
b. The Law of Large Number.
QuiZ 3
1. From Weekly 2, what are the population mean and the standard deviation?
Show calculations.
2. From your Weekly 2, what are the sample mean and standard deviation of the sample of size 2?
Show calculations.
3. (Related to no.1 and no.2 above)
Which standard deviation is larger? No.1 or No.2? Why? Justify.
4. The expected value of a population is the same as its population mean.
The expected value of is calculated from multiplying
the probability of each possible value to its represented value.
Apply this on the population of Weekly 2. Is the result
the same as the population mean you got in No.1 above?
(Show all calculations)
5. You are throwing a basket ball into the basket 5 times with probability of success = 0,30.
a. Calculate the probabilities of all successes possibilities (each for 1 success, and 2,3,4,5 successes).
b. (Refer to no.4) Using the values of your probabilities calculate the expected Value.
Is your calculated expected value the same as np (n=5 and p=0,30)? Comment on it.
The annual income distribution of a very small residential complex is shown in the above income distribution Table.
A. The Simulation
With your team, simulate a sampling experiment:
1. Take a random sample of size two, 30 times:
a. Set the distribution table.
b. Plot the sample distribution histogram.
c. Find the average value of your samples.
2. Take a random sample of size ten, 30 times:
a. Set the distribution table.
b. Plot the sample distribution histogram.
c. Find the average value of the samples.
(In your Open Source: Show the Forming-Storming-Norming-Performing of your team
in conducting the COMPLETE process of this simulation - PRESENTATION IN CLASS).
B. Answer the following
1. What is the MEAN of the population?
2. What the average value of the samples of size 2?
3. What is the average value of the samples of size 10?
4. Does the distribution of annual income looks like a Normal Distribution?
5. Does the Distribution of samples of size 2 look like a Normal Distribution?
6. Does the Distribution of samples of size 10 look like a Normal Distribution?
7. (Related to No.5 and No.6) Which Distribution looks more like a Normal Distrbution (Size 2 or Size 10)?
8. From the simulation runs, draw conclusions with respect to:
a. Central Limit Theorem.
b. The Law of Large Number.
QuiZ 3
1. From Weekly 2, what are the population mean and the standard deviation?
Show calculations.
2. From your Weekly 2, what are the sample mean and standard deviation of the sample of size 2?
Show calculations.
3. (Related to no.1 and no.2 above)
Which standard deviation is larger? No.1 or No.2? Why? Justify.
4. The expected value of a population is the same as its population mean.
The expected value of is calculated from multiplying
the probability of each possible value to its represented value.
Apply this on the population of Weekly 2. Is the result
the same as the population mean you got in No.1 above?
(Show all calculations)
5. You are throwing a basket ball into the basket 5 times with probability of success = 0,30.
a. Calculate the probabilities of all successes possibilities (each for 1 success, and 2,3,4,5 successes).
b. (Refer to no.4) Using the values of your probabilities calculate the expected Value.
Is your calculated expected value the same as np (n=5 and p=0,30)? Comment on it.
Wednesday, April 1, 2009
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