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Question 1: The financial aid office of a university asks a sample of students about their employment and earnings. The report says that "for academic year earnings, a significant difference (P=0.038) was found between the sexes, with men earning more on the average. No difference (P=0.476) was found between the earnings of black and white students." Explain both of these conclusions, for the effects of sex and of race on mean earnings, in language understandable to someone who knows no statistics.
Question 2: Your Company sells exercise clothing and equipment on the internet. To design the clothing you collect data on the physical characteristics of your different types of customers. Here are the weights for a sample of 24 male runners. Assume that these runners can be viewed as a random sample of your potential customers. The weights are expressed in kilograms.
68.7 61.8 63.2 53.1 62.3 59.7 55.4 58.9 60.9 69.2 63.7 67.8 65.6 65.5 56.0 57.8 66.0 62.9 53.6 65.0 55.8 60.4 69.3 62.1
Establish a 99% Confidence interval about the difference in the proportion of the town voters and county voters who favor the proposal.
British scientists have developed a 15 minute brain scan they hope could be used to detect autism in children. Autism and related disorders affect up to 7 out of every 1000 individuals.
A random sample of 50 men, 40% said they preferred walking up stairs than taking the elevator. In a random sample of 40 women
Investigate the comparative pros and cons of the mean and the median. Find examples where the mean is more appropriate than the median and vice-versa. Discuss the locations of the mean, median and mode for a normal, left-skewed and right-skewed di..
The ELISA test for AIDS was used in the screening of blood donations in the 1990s. As with most medical diagnostic tests, the ELISA test is not infallible.
How tall would the door need to be if Boeing wanted to ensure 95% of men could fit through the door without bending?
If the manufacturer's claim is true, what is the probability that the claim will be rejected?
The data below shows the time to process an inpatient admission, before and after a system usage training session was given. The following hypotheses were formulated for this study.
Gas Station pump signs, at one chain, encourage customers to have their oil checked, claiming that one out of every four cars should have its oil topped.
A random sample of 25 statistics examinations was taken. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is:
If we want to estimate the populations mean travel-to-work time San Francisco residents with a margin of error of 1 minute, what sample size should be used? Assume 95 percent confidence.
Katie is studying aggression among adolescent girls. She believes that there is a relationship between the level of interaction a girl has with her mother and her level of aggression.
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