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At the USA open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 102 miles per hour (mph)and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was mound-shaped and symmetric. What proportion of the player's serves was between 89 mph and 128 mph?
A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose then the general population.
Using this he gives a cost estimate of $24,000 for a new order for 500 units. Is this a reasonable cost estimate? Explain why or why not. Looking at the data on file, can you give a better cost estimate?
Develop an appropriate forecast model for the given problem whereas the student population has remained constant during this period.
Probability based on normal distribution. Suppose among X has a normal distribution, and find the indicated probability.
Give a variable that could be used to stratify the population for each of the following studies. List at least four subcategories for each variable.
If x is a binomial random variable where n=100 and p=.1, find the probability that x is less than or equal to 11 using the normal approximation to the binomial.
Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
Illustrate that probability distribution of X satisfies properties of a discrete probability distribution.
Suppose we conduct an ANOVA test of four treatment means and reject the null hypothesis. Construction of a confidence interval for the difference between the first and second sample mean revealed the interval to be 10 plus or minus 12. We conclude
Let f:N x N -> N be the function defined recursively as follows: Use induction on the sum i + j to prove that f(i, j) = 2i + j + 6 for all (i, j) in N x N.
According to Fortune, Missouri is within 500 miles of 44% of all U.S. manufacturing plants 8. If a Missouri company needs parts manufactured in 122 different plants, what is the probability that at least half of them can be found within 500 miles ..
Tree diagram for a probability experiment - Identify the sample space of the probability experiment and determine the number of outcomes in the event. Show a tree diagram if it is appropriate.
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