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100-Meter Run, again Refer to Exercise 4.14, in which a 100-meter sprint is run by John, Bill, Ed, and Dave. Assume that all of the runners are equally qualified, so that any order of finish is equally likely. Use the mn Rule or permutations to answer these questions:
a. How many orders of finish are possible?
b. What is the probability that Dave wins the sprint?
c. What is the probability that Dave wins and John places second?
d. What is the probability that Ed finishes last?
Construct a 95 percent confidence interval for the population proportion of positive drug tests. May you assume that this is a normal distribution? Explain why.
Discuss how a t Test can be employed in hypothesis testing by the use of directional vs. nondirectional hypotheses. Discuss types of research where using the t statistic may be an appropriate alternative to using a z-score.
Explain why it is not appropriate to perform a formal inference procedure and yet it is still reasonable to conclude that the incidence rate is higher for gulf war veterans than for those who did not serve in the gulf war.
A sample of 19 albino Hungarian banded aardvarks was examined for nose length. Since this is a small sample, how various degrees of freedom will be used to find the t-score.
The starting salaries of individuals with an MBA degree are normally distributed with mean of $40,000 and standard deviation of $5,000. What percentage of MBA's will have starting salaries of $34,000 to $46,000?
Identify a real-life example or application of either the binomial or Poisson distribution. Specify how the conditions for that distribution are met.
Suppose normality is not assumed. What nonparameiric test can be used to compare total heart weight of males with left-heart disease with that of normal males?
Using the information provided in part (d) would you be surprised if a sample of 50 differences collected in this way resulted in a higher mean number of unpopped kernels for the store brand than for the name brand?
Consumption of Saturated Fat: A nutritionist claims that the proportion of females who consume too much saturated fat is lower than the proportion of males who consume too much saturated fat.
Should mean disposable income be used to predict sales based on the sample of 14 Sunflower stores? Are there any other factors not mentioned by the leasing agents that might be relevant to the store leasing decision?
Of the 500 surveyed, 350 said they would vote for the Democratic incumbent. Using the 0.99 confidence coefficient, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent?
Assume that the variable B is the number of years of experience. Suppose the person has 2 years of college and 7 years of experience. What should their salary be?
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