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To test the hypothesis that students who finish an exam first get better grades, Professor Hardtack kept track of the order in which papers were handed in. The first 25 papers showed a mean score of 77.1 with a standard deviation of 19.6, while the last 24 papers handed in showed a mean score of69.3with a standard deviation of 24.9. Is this a significant difference at @ = .05? (a) Ste the hypotheses for a right-tailed test. (b) Obtain a test statistic and p-value assuming equal variances. Interpret results. (c) Is the difference in mean scores large enough to be important? (d) Is it reasonable to assume equal variances? (e) Carry out a formal test for equal variances at @=.05, showing all steps clearly.
A Variable has a mean of 100 and a standard deviation of 16. Four observations of this variable have a mean of 108 and a sample standard deviation of 12. Test whether the sample has been drawn from the population.
Residents of Mill River have fond memories of ice skating at a local park. An artist has captured the experience in a drawing and is hoping to reproduce it and sell framed copies to current and former residents.
In conducting a hypothesis test to see if there is evidence that the population mean is less than 220, using a .03 significance level what will be your critical value?
Jolly Blue Giant Health Insurance is concerned about rising lab test costs and would like to know. Determine the essential sample size?
What is the probability that the number of granite selected for analysis is within 1 standard deviation of it means value.
Suppose that we generate a random sample from a given dis- tribution. If it is desired that the probability that the sample mean will be within 2 standard deviations of the mean of the distribution is at least .99, how large should the sample size..
Analyze the DT to determine the optimal strategy for the company. What is the expected value of the optimal strategy? Develop a risk profile for the optimal strategy.
What is the value of the coefficient of Blue Collar in your equation? What is the lower limit of the 95% CI for this coefficient? What is the upper limit of the 95% CI for this coefficient?
At the .01 significance level, is there a relationship between job pressure and age?
Suppose the counselor found the sum of squared deviations from the mean of the sample to be 135. Given that he tested 10 people, what would be the estimated population variance?
The area under a normal curve is always equal to 1, no matter what the mean and standard deviation are.
Conduct and interpret a test to determine whether or not there is any difference in the final destination of each model of automobile. Interpret your findings.
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