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A researcher is testing the hypothesis that all teenagers spend an average of 8 hours on their computers during the weekends. He knows that the standard deviation is 0.3 hour. He selects a sample of 144 teenagers and decides to reject the null hypothesis when the sample mean is 8.5 hours or less.
A. What us the probability of that the researcher commits a type I error?
B. If the true population mean is 7 hours, what is the probability that the he commits a type II error?
C. Determine the power of test.
How many possible samples n=2 can be drawn from a population of size 14?
How would a behaviourist teacher explain 1/2÷1/3? (2)
Consider the population consisting of the values 1, 3 and 4. List all the possible samples of size 2 that can be drawn from the population with replacement. Then, compute the mean x— for each sample. Lastly, find the mean of the sampling distribution of means and the mean of the population.
the average grade of 30 students in their statistics and probability examination is 85 with a standard deviation of 5. find the interval for the true mean at 95% interval
Let X1, X2 have joint probability density function
f(x1, x2) = {1/8e^−(8x1+x2) , x1,x2>0
0, elsewhere
Find the probability density function of Y =1/2 (X1 + X2)
Let X, Y have joint probability density function
f(x, y) = {1/8e^−(8x+y). , x,y>0
0, elsewhere
Find the probability density function of Z=1/2 (X + Y)
Suppose that X and Y have bivariate normal distribution with the probability density function
f(x, y) = k exp ^− (8X^2 − 6XY − 18Y^2 )
Find
(a) Pr(X + Y > 1/2)
(b) the joint moment generating function of Z1 = 2X − XY and Z2 = 3X + 2Y
Suppose that X and Y have bivariate normal distribution with the probability density function
f(x, y) = k exp ^− (8X^2 − 6XY − 18Y^2 )
Find
(a) Pr(X + Y > 1/2)
(b) the joint moment generating function of Z1 = 2X − XY and Z2 = 3X + 2Y
#340153 on Dec 2023