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1. Travelers are asked how many hours they are willing to drive while on vacation in one day. A total of 86 travelers reported a mean of 11.55 hours with a standard deviation of 1.2 hours. Find the 99% confidence interval for the mean number of hours travelers are willing to drive.
What is your value for E?
What is your confidence interval?
2. 18% of the students at Brockport College live in within five miles of the campus. You take a sample of 84 students. What is the 85% confidence interval for the population proportion of students who live within five miles of the campus?
3. A soccer ball manufacturer wants to estimate the mean circumferance of mini-soccer balls withing 0.15 inch. Determine the minimum sample size needed to construct a 99% confidence interval for the population mean. Assume that the population standard deviation is 0.20 inch.
Eight pawns are placed on eight random squares on a chess board. What is the probability that no two pawns are in the same row or the same column?
6. In a certain class, midterm score average out 70 with an SD of 15, as do scores on the final. The correlation between midterm scores and final scores is about 0.40. The scatter diagram is football-shaped.
Assume that random variables X1,.....,X50 are independent and all have probability density function fX(x) = 1/x for 1
assume that a simple random sample has been selected from a normally distributed population and test the given claim.
In 2004, Newsmonth reported that 60% of young children have blood lead levels that could impair their neurological development. Assuming that a class in a school is a random sample from the population of all children at risk
A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other.
Construct a dialogue between Andrew Jackson and Henry clay. What kind of conversation would they have? What would they talk about?
Under what circumstances should a nonparametric test be used? Explain. What are the strengths and weaknesses of nonparametric tests?
For the preceding problem you should find that there are significant differences among the three treatments. One reason for the significance is that the sample variances are small.
How much better are the workers at one plant compared to another? How much "better" is line 1 of variety A compared to line 2 of variety C?
Suppose you are a budding entrepreneur. The start-up costs, in thousands of dollars, for Entrepreneur Magazine's 25 most popular franchises are summarised below.
Using principal components determine whether it is possible to discriminate between the attic and nonattic measurements using a PCA of the matallic oxides.
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