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In the Big Ten (the NCAA sports league) a sample showed that only 267 out of 584 freshmen football players graduated within 6 years. (a) At (alpha) a = .05 does this sample contradict the claim that at least half graduate within 6 years? State your hypothesis and decision rule. (b) Calculate the p-value and interpret it. (c) Do you think of difference is important, as opposed to significant?
What is the probability that a particular driver has two speeding violations.
The mean television viewing time for Americans is 15 hours per week (Money, November 2003). Suppose a sample of 40 Americans is taken to further investigate viewing habits.
Explain what property associated with the Central Limit Theorem you consider the most important contribution, enabling the use of the normal distribution for sample means.
206 randomly selected light bulbs were tested in a laboratory, 161 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.
Test hypothesis that intake of linoleic acid in this group is lower than that of general population. Also, calculate p-value for hypothesis test.
Find the critical value for different types of sample size and level of significance:
Is this an ideal data collection method? Can the results be considered reliable? Can the gathered data be representative of the population?
Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use.
The error between the sample mean and the population mean for a sample of n = 16 is 5 points and the error between a sample mean and population mean for a sample of n = 100 is 2 points. Explain the difference in the standard error for the two samp..
Construct a 99% confidence interval for the population mean tread wear for this type of tire.
Simulate both one-and two-teller systems, calculate waiting time, average queue length, and percentage utilization for each system.
A personnel manager for a large corporation feels that there may be a relationship between absenteeism and age and would like to use the age of a worker to develop a model to predict the number of days absent during a calendar year.
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