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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?
A spokesman for a popular television game show claims that contestants on the show win an average of $1200. In a random sample, 35 contestants were questioned on the amount of money they had won in order to test the hypothesis.
It is interested in estimating a 99.97% worst case for percentage of loan that defaults on the portfolio. Show how this varies with the copula correlation.
Suppose you are on a test and are asked to determine whether the given experiment is binomial, Poisson, or neither. What are you going to think about to determine which test to use. Do you have a checklist? How would you approach this problem?
Create the corresponding decision tree and make recommendations.
A major benefit of two-way ANOVA over several one-way ANOVAs, If an F test for interaction is significant.
According to US Census Bureau, 7.1% of all births to non-smoking mothers are of low birth weight (
The long distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. find the probability that a call
Suppose the horses in a large stable have a mean weight of 1464 lbs, and a standard deviation of 111. What is the probability that the mean weight of the sample horses would differ from the population mean by less than 11 lbs if 34 horses are samp..
In Colorado Springs the newspaper runs mug shots of wanted criminals. The 17% of those published are arrested through information provided to the police. If 200 are published, find the probability that less than 30 are arrested.
Flaws in a certain type of drapery material appear on the average of one in 150 square feet. If we assume the Poisson distribution, give the probability of at most one flaw in 225 square feet.
You perform a one sample mean hypothesis test on a random sample of data and observe a p-value of 0.2157. What is the appropriate conclusion? Conclude at the 5% level of significance.
Using the 0.01 significance level, can we conclude that there is a positive correlation between the variables?
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