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Consider a population with values 1, 2, 3, 5, 7, 11



a. Find the population mean



b. Find the population variance



c. Find the population standard deviation.



d. Find all possible samples of size 4 which can be drawn with replacement from this



population



e. Find the mean of the sampling distribution.



f. Find the variance of the sampling distribution of means.



g. Find the standard deviation of the sampling distribution of means

Direction: Draw and sketch the given function and solve as indicated. Show your



complete solution.



1. Find the area of the region bounded by the curves x=y³ and y=x².



2. Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.



3. Find the area, take the elements of the area parallel to the x-axis. y= 2x³-3x³-9x; y=x²-2x²-3x.



4. Find the area of f(x) = 3+2x-x² above the x-axis.



5. Determine the area to the left of g(y) = 3-y2 and to the right of x = -1



6. Determine the area of the region bounded by x = y²-y-6 and x = 2y +4.

Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.

Compute the value of z when ƥ = 0.46, q = 0.54, n = 50 and p0 = 0.50.



A random sample of n = 90 kilograms of corn is obtained from a population with μ



= 272 and σ = 5543. Describe the sampling distribution for the sample means by



computing the 𝜇 and 𝜎. (Use the indefinite population) (20 points


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.

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.

You divide a bag of 35 potatoes into fifths (five equal parts), what is the “whole” which you shared equally? In which case is a “whole” not one (1)?  


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,

  1. In a plant nursery, the owner thinks that the length of seedlings in a box sprayed with a new kind of fertilizer has an average height of 25cm after. One researcher randomly selected 40 such seedlings and calculated the meanheight to be 28cm and the standard deviation was 8cm.Proceed with the test using a= 0.01
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