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Consider a hypothesis test of H0: μ = 0 against H1: μ > 0 where μ is the mean percent change in total body bone mineral content of young women. The population standard deviation is σ = 2. The level of significance for the test is α = 0.05.
(For the prediction, just estimate the effect of increasing μ on the power in part (b) below.)
a) What sample size is minimally required to give at least 0.9 power? (Use Excel to calculate the power for a range of sizes for the SRS.) What is the actual power for this sample size?
b) Produce a power curve for a sample size of 25. A power curve is a scatter plot of power versus values of μ that are admissible under the alternative hypothesis. In order to produce a smooth curve, use Excel to calculate the power for μ ? {0.05, 0.10, 0.15, ..., 1.95, 2.00}, and direct Excel to connect the points in the scatter plot.
If the voice identifications were made by random guess, find the probability that all 9 victims would select the same person?
Is there evidence of violations of the usual ANOVA assumptions of equal variances and normal populations? Set up and perform appropriate TESTS at the α = 0.05 level of significance.
Dertermine the probability that a male is a Major or a Colonel?
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A human society claims that less than 36% of US. households own a dog. In random sample of 397 U. S. households, 151 say they own a dog. At mean=0.03, is there enough evidence to support the society's claim?
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A researcher measures a response variable Y and explanatory variable X on each of several objects. A scatterplot of the measurements is as follows.
Scores on a test are normally distributed with a mean of 60.9 and a standard deviation of 12. Find P81, which separates the bottom 81% from the top 19%.
Determine what analysis would you do on each problem (i.e., one-sample z-test, one-sample t-test, proportion test, two-sample independent t-test, or paired test)?
Discuss whether the percent distribution of the cross-tab and chi-square supports/does not support the researcher's hypothesis.
Caselet on McDonald’s vs. Burger King - Waiting time
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