Search & Filtering
A population consists of the numbers of 1-5.List all the possible samples of size 3 from this population and construct the sampling distribution of the sample mean.
A rectangular field is to be enclosed and divided into four equal lots by fences parallel to one of the sides. a total of 10,000 meters of fence are available. Find the area of the largest field that can be enclosed.
A population consists of the numbers of 1-5.List all the possible samples of size 3 from this population and construct the sampling distribution of the sample mean.
Read the instruction carefully .
Consider the Function f={1,2,3,4}->{1,2,3,4} given by f(n) =(1 2 3 4) (4 1 3 4)
a.find f(1)=
b.Find an element n in the domain such that f(n)=1
c.Find an element n of the domain such that f(n)=n
d.Find an element of the domain that is not range.=
The following functions all have {1,2,3,4,5} as both domain and codomain for each.determine whether it is (only) injective,(only) surjective, bijective or either injective nor surjective.
a. f=(1 2 3 4 5) (3 3 3 3 3)=
b.f=(1 2 3 4 5) (2 3 1 5 4)=
c.f(x)=6-x =
d. f(x)={x/2
(x+1)/2
if x is even
if x is odd=
The following function all have domain {1 2 3 4 5} and co domain { 1 2 3}. For each determine whether it is (only)injective,(only) surjective, bijective or either injective nor surjective.
V. LEARNING ACTIVITIES:
1. A function is __________+__________.
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2. The vertical line test says that a graph is a graph of a function if every vertical line passes through the graph ___________.
For exercises 3 through 6 answer either "True" or "False" and explain how you arrived at your conclusion.
3. The graph of a function can never have more than one y-intercept.
4. The graph of a function can never have more than one x-intercept.
5. Every line is the graph of a function.
6. Circles are never graphs of functions.
For exercises 7 - 10, a relation is given in the form of ordered pairs. Determine the domain, the range, state whether the relation is a function.
7. (1,2), (2,3), (3,4), (4,5), (7,7)
8. (-1,4), (0,5), (1,4), (2,3)
9. (0,2), (1,6), (1,5), (9,12), (10,11)
10. (-3,-1), (-1,-3), (0,5), (2,1)
Read the instruction carefully. Write your answer in the box.
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Samples of 4 cards are drawn from a population of 6 cards numbered 1-6.
Construct a sampling distribution of the sample means and answer the following questions
1. How many sample of size 4 can be drawn from the population?
2.What are the possible means?
3.What is the probability of getting 4 as a mean?
4.What is the probability of getting 3.5 as a mean?
A group of students got the following scores in a test 6,9,12,15, and 21. Consider samples of size 3 that can be drawn from this population.
A. List all the possible samples and the corresponding mea.
B. Construct the sampling distribution of the sample means
A population consists of the five numbers 2,5,6, 8,and 11. Consider samples of size 2 that can be drawn from the population.
A. List the possible samples and the corresponding mean.
Consider a population consisting of 2, 4, 6, 8 and 10. Suppose samples of size 3 are drawn from this population.
a. Describe the sampling distribution of the sample means
b. What are the mean and variance of the sampling distribution of the sample means?
c. Construct a histogram for the sampling distribution.
A random sample of ten measurements were obtained from a normally distributed population with mean u=6.5. The sample values are X-4.2 and s 2.
a. Test the null hypothesis that the mean of the population against the alternative hypothesis, μ = 6.5. Use a = 0.05.
b. Test the null hypothesis that the mean of the population against the alternative hypothesis, u 6.5. Use a = 0.05
