2. Consider all samples of size 2 from this population:
2 5 6 8 10 12
a. Compute the mean () and variance () of the population.
b. List all samples of size 2 and compute the mean for each sample.
c. Construct the sampling distribution of the sample means.
d. Calculate the mean of the () of the sampling distribution of the sample means.
e. Calculate the variance of the () of the sampling distribution of the sample means.
) Solve the area bounded by the curve y = 4x-x² and the lines x = -2 and y = 4.
Find the area, take the elements of the area parallel to the x-axis. y= 2x³-3x³-9x; y=x²-2x²-3x.
III – Find the approximate p-value given the following information:
1. A two-tailed test; computed t-value = 1.845; df = 10
2. A left-tailed test; computed t-value = 2.295; df = 21
3. A right-tailed test; computed t-value = 1.565; df = 27
4. A two-tailed test; computed t-value = 2.452; df = 12
Consider a population consist of 9, 5, 6, 12, and 15. Suppose that sample size of 2were drawn from this population (without replacement), describe the sampling distribution of the sample means
Create the logic circuit diagram for z F= X’Y + XZ
Given F(w, x, y, ) = w'x'y'z' + w'x'y'z + w'xyz' + w'xyz, express F’(w,x,y,z) in minterm list form. Draw its corresponding truth table.
Find the sum-of-products expansions of these Boolean functions. F(A, B,C) = C
The average lot size of the houses in a small village is 55 square meters with a standard deviation of 10 square meters. Find the mean of the sampling distribution of the sample mean with a sample size of 50 houses if lot sizes are normally distributed.
df= 25 Percentile= 97.5th t(a,df) =