this is my ADV stat module #6 assignment where I worked with variance, standard deviation and sample means.
Consider a population consisting of the following values, which represents the number of ice cream purchases during the academic year for each of the five housemates.
8, 14, 16, 10, 11
Compute the mean of this population.
11.8
Select a random sample of size 2 out of the five members. See the example used in the Power-point presentation slide # 13.
8 and 14
Compute the mean and standard deviation of your sample.
Mean = 11, Standard deviation = 4.24
Compare the Mean and Standard deviation of your sample to the entire population of this set (8,14, 16, 10, 11).
Population mean = 11.8, population standard deviation = 2.86, sample mean = 11, sample standard deviation = 4.24.
Population mean= (8+14+16+10+11)/__
5
Sample of size n= ___
2
Mean of sample distribution
11
sample 1
8, 14
And Standard Error Qm=Q/square root of n=4.4/square root of 5=
1.97
I am looking for table with the following variables X, x=u, and (x-u)^2
X = 8: x-u = -3.8, (x-u)^2 = 14.44
X = 14: x-u = 2.2, (x-u)^2 = 4.84
X = 16: x-u = 4.2, (x-u)^2 = 17.64
X = 10: x-u = -1.8, (x-u)^2 = 3.24
X = 11: x-u = -0.8, (x-u)^2 = 0.64
Does the sample proportion p have approximately a normal distribution?
The distribution is expected to be normal if both np and nq are greater…… (your turn)
Since p = .95, q = .05.
p * n = .95 * 100 = ……
q * n = .05 * 100 = ……
np = 95 and nq = 5. Yes, the sample proportion has approximately a normal distribution
Suppose that the sample size n = 100 and the population proportion p = 0.95.
Does the sample proportion p have approximately a normal distribution? Explain.
Yes, since np = 95 and nq = 5
What is the smallest value of n for which the sampling distribution of p is approximately normal?
100
From our textbook, Chapter 3: Probability Exercises # 3.4 (pg. 65 on 2nd Edition)
Simulated coin tossing: is probability better done using function called rbinom than using function called sample? Explain.
Yes, I think rbinom is better because it is more direct and easier to use for this type of probability problem.
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