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Three contestants, A, B, and C, each have a balloon and a pistol. From fixed positions, they fire at each other"s balloons. When a balloon is hit, its owner is out. When only one balloon remains, its owner gets a $1000prize. At the outset, the players decide by lot the order in which they will fire, and each player can choose any remaining balloon as his target. Everyone knows that A is the best shot and always hits the target, that Bhits the target with probability .9, and that C hits the target with probability .8. Which contestant has the highest probability of winning the $1000? Explain why.
A researcher wished to estimate the number of households with two cars. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%.
Find the mean and standard deviation for the batting average for a player in the most recently completed MBL season. What batting average would separate the top 5% of all hitters from the rest?
One set of 12 pairs of scores, X and Y values, produces a correlation of r = 0.90. If SSy = 200, find the standard error of estimate for the regression line.
Standard deviation of the population is 9 hours. Give the null and alternative hypotheses. Compute the test and p-value. Use a=0.01 to make your conclusion based on the p-value.
How many social robots would need to be sampled in order to estimate the proportion of robots designed with legs, no wheels to within .075 of its true value with 99% confidence. Given that a random sample of 106 robots showed that 63 were designed wi..
We want to test the hypothesis that the population variances are equal.
The Institute for Operations Research and the Management Sciences
Perform a regression analysis using compa as the dependent variable and the same independent variables as used in question 2. Show the result, and interpret your findings by answering the same questions.
The symphony sells raffle tickets each year to raise money. Assume they sell 2000 tickets and the tickets cost $100 each.
Attended a religious service at least once a month, 20 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are equal.
Based on our sample, how do you interpret the results and what do these results suggest about the population means for male and female average salaries?
The grade point averages for 10 randomly selected high school students are listed below. Assume the grade point averages are normally distributed.
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