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In Eurelia there are three categories of bicycle license, with different fees for each. The table below is based on a random sample of 122 Eurelian bicycle-license holders.
License Fee
25$ 30$ 27$
Female 18 12 14
Male 6 4 10
Other 18 24 16
a) Is the mean amount paid by men significantly greater than $25?
b) Estimate the standard error of the sample mean for men.
c) Form a 95% confidence interval for the mean amount paid by men.
Critically discuss the assumptions, if any, regarding a Chi-square test? What are the assumptions to apply linear regression?
If we assume a normal distribution of Diastolic blood pressures, then between what two values can we be assured 99.7% of all Diastolic blood pressures will lie?
A random sample of 85 group leaders, supervisors, and similar personnel at General Motors revealed that, on the average, they spent 6.5 years on the job before being promoted.
What is a probability notation? What are the advantages and disadvantages of using a probability notation? How does probability notation aid in decision making?
Revenue, The marketing research department for a company that manufactures and sells "notebook" computers established the following price-demand and revenue functions.
What standard deviation (within 0.001 inch) minimizes the annual cost of producuign elevator rails. You do not need to try standard deviations in excess of 0.02 inches.
Find a 90% confidence interval for the population mean of annual growth (of those trees with an initial size of 2.41-2.60 centimeters).
Two mating parts have critical dimensions x1 and x2 as shown below. Assume that x1 and x2 are normally distributed with means 1 and mean2 and standard deviations s1 = 0.400 and s2 = 0.300.
If you were using the relative frequency of an event to estimate the probablility of the event, would it be better to use 100 trials or 400 trials according to the law of large numbers?
Suppose that a random sample of 200 adults found that 110 thought there is too much violence on television. Is this enough evidence to reject the claim? What do we want to know?
If 1000 men and 1000 women are to be interviewed, how accurately could you estimate the difference in the proportions who think that the performance of their atheltics teams has a positive impact on the perceived prestige of the institutions? Find..
Describe the sampling distribution of the sample mean.
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