Search & Filtering
Given the population 3, 5, 8, 9, and 10. Suppose samples of size 4 are drawn from this population
1. What is the mean (u) and standard deviation (a) of the population?
2. How many different samples of size n& can be drawn from the population? List them
corresponding means. 3. Construct the sampling distribution of the sample means
4 What is the mean () of the sampling distribution of the sample means? Compare this to the mean
the population
5. What is the standard deviation (n) of the sampling distribution of the sample means? Compare thin
the standard deviation of the population.
The following data show the number of cars sold at a dealer during the past 20 weeks:
18; 13; 2; 20; 8; 10; 5; 10; 6; 9; 10; 20; 2; 15; 16; 16; 13; 10; 17; 10
Use the data to construct a histogram that shows the number of weeks versus car sales. Use the intervals
0,5 − 4,5; 4,5 − 8,5; 8,5 − 12,5; 12,5 − 16,5; 16,5 − 20,5
for the number of cars sold. The correct histogram
Given the population 3, 5, 8, 9, and 10. Suppose samples of size 4 are drawn from this population
1. What is the mean (u) and standard deviation (a) of the population?
2. How many different samples of size n& can be drawn from the population? List them
corresponding means. 3. Construct the sampling distribution of the sample means
4 What is the mean () of the sampling distribution of the sample means? Compare this to the mean
the population
5. What is the standard deviation (n) of the sampling distribution of the sample means? Compare thin
the standard deviation of the population.
For each population, find the mean of the sampling distribution of the sample mean with an indicating sample size,n.
A.7,10,19,20 ; n=2
B.46,51,55,59,61 ; n=3
C.24,26,29,32,35 ; n=4
the following are the height of 8 students in centimeters suppose sampe of size 3 are taken from this population of 8 students.
student height
a 120
b 130
c 110
d 125
e 152
f 170
g 137
h 155
a) how many sample are possible? list them and cmpute the mean of each example?
b) construct the sampling distribution of the sample means
c) construct the histogram of the sampling distribution of the sample means
The number of samples of size r that can be drawn from a population of size n is given by a representation?
Understanding the Z-score
Solve the following problem.
1. X = 50, s = 5, X(mean) = 40
2. X = 40, o = 8, u(mean) = 52
3. X = 36, s = 6, X(mean) = 28
Probability of x=10?
Probability of x=10?
8. Let (x1, x2, ..., xn) be independent measurements of a random variable X with density function
f(x) = e−(x−α), x > α. Find an estimator, ˆ
α, of α by method of moments.
