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For a discrete probability function that is given as:
y 1 2 3 4 5 6 7P(Y=y) .01 .03 .13 .25 .39 .17 .02
a. What is the expected value E(Y)?
b. What is the standard deviation (σ) of the random variable Y?
Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
Mauricio Cruz, a wine merchant for Cruz's Spirits Emporium, wants to determine if the average price of imported wine is less than the average price of domestic wine.
What is the probability that a sample mean will be within plus-or-minus two of the population mean for each of the following sample sizes?
A and B are two intersecting sets, and a, b, ab, and x represent the usual symbols for the number of elements contained in the four defined areas of the associated Venn Diagram. Find the values of ab and a if:
In the real world, a given null hypothesis is false; but the collected data lead to the null hypothesis being accepted. That is, the data lead to a failure to reject the null hypothesis.
Describe the circumstances under which you should use ANOVA instead of t tests, and explain why t tests are inappropriate in these circumstances. Find a peer-reviewed article that reflects these circumstances, describe the research conducted (i.e...
A fair coin is flipped 3 times. Compute the odds of flipping 3 tails.
Let p1 = 100 and n1 = 500; and p2 = 200 with n2 = 500. Test whether there is a statistical difference between the two proportions at the 5% significance level.
Suppose that it is a presidential election year and Ohio is one of the 'swing' states. Your polling company wants to conduct a presidential preference poll of the citizens of Ohio to predict which candidate will win the election.
In a binomial distribution n = 8 and π = 0.2. Determine the probabilities of the following events.
What kinds of plots are useful in data screening? What can you do if your data do not meet the assumptions of your statistic?
The regression equation is Y = 29.29 - 0.96X, the sample size is 8, and the standard error of the slope is 0.22. What is the critical value to test the significance of the slope at the 0.01 significance level?
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