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A study of chromosome abnormalities and criminality examined data from 4,124 males born in Copenhagen. Each man was classified as having a criminal record or not, using the registers maintained in the local police offices. Each was also classified as having the normal male XY chromosome pair or one of the abnormalities XYY or XXY. Of the 4,096 men with normal chromosomes 381 had criminal records, while 8 of the 28 men with normal chromosomes had criminal records. Some experts believe chromosome abnormalities are associated with increased criminality.
(a) Do these data lend support to this belief? Perform a significance test to answer this question.
(b) Construct and interpret a 95% confidence interval for the difference in proportions.
Joe thinks that no more than 20% of students in his Statistics class will get an A in the final examination. To prove his claim, he takes a random sample of 35 students and finds to his surprise that 30% of students got an A.
Are there other methods besides ANOVA that can be used to evaluate whether the difference in means between TWO OR MORE samples is significant?
A run chart is developed that confirms process stability. The level of significance is chosen to be 0.01. (a) Is there evidence to suggest that the process average differs from the target value?
14 machines are planned to be used for a 60-day production run for a customer. The operating time is 1660 hours. Upon failure, a machine must be returned to the manufacturer for repair.
Using sample, determine a 98% confidence interval for mean weight of whole daily output.
Formulate a linear programming model for this problem.
Independent random samples of 12 users of the other system rate their system on the same scale. Based on these data, are the two telecommunication system equally liked? Explain.
A sample mean is 102. another 50 observation with a standard deviation of 6 and a sample mean of 6. conduct a hypothesis using the .05 significance level.
Construct a 95% confidence interval estimate for the proportion of all workers who did not use the Internet within limits. Explain your findings so that your non-quantitative partner will understand them.
The shop wants a minimum of 60 man-years experience and wishes to maximize productivity. What machinists should they hire?
What is Dutch book argument for the first axiom of probability (the one that says that the probability of a sentence is never less than 0 or more than 1)?
At the .05 significance level, is the number of units produced on the afternoon shift larger?
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