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ANOVA
Analysis of Variance (ANOVA) is used to test the equality of the means of three or more groups based on sample data. ANOVA is really a test of means even though it sounds like a test of variance. Building on the hypothesis testing techniques discussed on the first two weeks, ANOVA uses an F test (rather than a Z or t test) to compare multiple means. A hypothesis test using an F statistic can determine whether three or more sample means are statistically significantly different from each other, otherwise one may conclude that they are from the same population. The concepts of variance and sums of squared differences used in ANOVA can be used to evaluate the output of linear regression, the topic of Week Four.
Use the five-step p-value approach to hypothesis testing and a 0.05 level of significance to determine whether the proportion of full-time students at Miami University is different from the national norm of 0.46.
Find the regression equation to predict the cognitive series score from the 7 minute screen score using SPSS. Be sure to write out the equation by hand using the variable names
The population of IQ scores forms a normal distribution with a mean of µ = 100 and a standard deviation of o = 15. What is the probability of obtaining a sample mean greater than M = 105.
Describe the error in the conclusion. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. As the number of cigarettes increases the pulse rate increases. Conclusion: Cigarettes cause the pulse rate to i..
Passengers using New York's MetroCard system must swipe the card at a rate between 10 and 40 inches per second, or else the card must be re-swiped through the card reader. Research shows that actual swipe rates by subway riders are uniformly distr..
Which component of a time series is most likely to occur? Which component has a pattern that must be complete in a single year and repeat from year to year?
A loan application is received this morning. What is the probability that:
The average monthly gasoline purchase for a family with 2 cars is 90 gallons. This statistic has a normal distribution with a standard deviation of 10 gallons. A family is chosen at random.
Determine the probability of fatal accident over lifetime? Describe your reasoning carefully. Suppose independent events. Why might the supposition of independence be violated?
Calculate the suitable mean response time from both proposed locations and find out which proposed site must be selected for the new emergency facility.
Fred received the following scores for his gymnastics routine: 8.5, 7.8, 8.0, 6.8, 7.1, 7.6. To figure out his score, the judges drop the highest and lowest score and then average the rest of his scores.
Calculate the 95% confidence interval for the rate of positive tuberculin reaction separately for each of the two subpopulation, those with high exposure and those with low exposure.
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