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1. For a sample selected from a population with a mean of µ=50 and a standard deviation of σ = 10:
a. What is the expected value of M and the standard error of M for a sample of n=4 scores?
b. What is the expected value of M and the standard error of M for a sample of n = 25 scores?
2. A population has a mean of µ = 80 and a standard deviation of σ = 10. If you selected a random sample of n = 25 scores, how much error would you expect between the sample mean and the population mean?
3. A population forms a normal distribution with a mean of µ = 75 and a standard deviation of σ = 20.Sketch the distribution of sample means for samples of n = 100. What proportion of the sample means for n = 100 have values greater than 79? In other words, find p(M>79) for n = 100.
4. A normal-shaped distribution has µ=80 and σ = 15. Sketch the distribution of sample means for samples of n = 25 scores from this population. Compute the z-scores for M = 89 for a sample of n = 25 scores. Is this sample mean in the middle 95% of the distribution?
Carry out a test of hypothesis on each of regression coefficients. Could you delete any of the variables?
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Last year, there were 30,000 students at a university; their GPA had a mean of 2.9 and an SD of 0.6. This year, in a simple random sample of 100 students taken from this university, the GPAs have a mean of 2.95 and an SD of 0.55. Has the mean GPA ..
Determine the probability that we would reject null hypothesis given that it is true?
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