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Sample Questions with Solution Manual.
Typology: Exams
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Number Variable of Cases Mean Std. Dev. Std. Error Y 4 4.000 2.000 1.
a. Set up the null and alternative hypotheses. b. Calculate the test statistic, and indicate whether the P-value was below 0.05, based on using the appropriate table. c. Make a decision, using α = .05. Interpret. d. If the decision in (c) is actually (unknown to us) incorrect, what type of error has been made? What could you do to reduce the chance of that type of error? e. True or false? When we make a decision using α = .05, this means that if the special class is truly beneficial, there is only a 5% chance that we will conclude that it is not beneficial.
Unequal 2.9146 41.9 0.
Interpret the P -value, in context, based on its definition. (Note: You are not being asked to make a decision at some α-level.)
Correlation -0.460 0.
a. Explain how to interpret the reported value of the correlation. b. Can you tell whether the sign of the slope in the corresponding prediction equation would be positive or negative? Why? c. Suppose the prediction equation were ˆy = 5. 6 − 0. 1 x. Interpret the slope, and show how to find the predicted birth rate for a nation that has x = 40. d. Sketch a scatterplot for which it would be inappropriate to use the correla- tion to describe the association.
a. Find the sample conditional distribution on aspirations for those whose family income was high.
data should be analyzed using methods for dependent samples (such as the paired-difference t test) rather than independent samples.
Select the correct response(s) in the following problems.
a. If the confidence interval is (3000, 6000), then at this confidence level we conclude that the mean income for whites is lower than for Hispanics. b. If the confidence interval is (–1000, 3000), then the corresponding test of H 0 : μ 1 = μ 2 against Ha: μ 1 6 = μ 2 has a P-value above .05. c. If the confidence interval is (–1000, 3000), then we can conclude that μ 1 = μ 2. d. If the confidence interval is (–1000, 3000), then we can conclude that 95% of the white subjects in the population have income between $1000 less and $3000 more than 95% of the Hispanic subjects in the population.
a. The population distribution is normal, although in practice the method is robust to this assumption for two-sided tests. b. The sample is selected randomly. c. y is a dependent variable, and μ 0 is an independent variable. d. Each expected frequency is at least about 5. e. None of the above, because the t test is robust against violations of all its assumptions.