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How high can a major league player's strikeout rate go? The accepted strikeout rate in the majors is roughly 25 percent. Consider a random variable that is the number of strikeouts in 10 plate appea
Raul has designed a research study in which subjects come to his lab and practice extension of the knee to a target angle with and without vibration. He is interested in determining whether vibratio
52% of NYC adults are male. 90% NYC adults have their drivers license. If gender of adults and having a drivers licese are independent, what percentage of males do not have their drivers license?
The website Cribbage Pro has kept records of millions of games of cribbage and has estimated that the dealers crib will contain a single pair 46.7% of the time. Assume the content of each crib is in
What is the expected number of people in a household? Find the variance for the number of people per household.
Determine what is the difference between the fractions of defectives produced by two processes with a confidence level of 90%.
We will assume independence between the players and the attempts. Let N denote the number of baskets made by Nash and S denote the number of baskets made by O'Neal.
Is there a significance in the level of community service participation between college and high school graduates? According to the 2010 GSS, 38% of 160 college graduates reported volunteering in th
Let X be the number of teams from IU on Pete's season schedule. What's the probability that none of the Pete's opponents are from IU? What distribution and parameter(s) are you using?
What is probability that Tim gets exactly 12 emails on a particular day? Find the probability that he gets at least 3 emails on a particular day? What is the standard deviation of the number of emails
A pizza can be made with any of the following toppings: cheese, pepperoni, sausage, mushrooms, anchovies, green peppers, or olives. Doubling any of the toppings is not allowed. What is the probabil
In order to bid for a nonstandard construction job, an engineer needs to estimate the duration, D, of the project. Since no prior information on similar jobs is available, the engineer estimates tha
Construct a 90% two sided confidence interval for the true number of pieces of salmon on the pizzas. Are the owner's standards for pizza making met at this confidence interval? Why? Construct a 95% up
Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks.
Consider a deck of 52 cards with 13 hearts, 13 spades, 13 clubs, and 13 diamonds and assume that a card is drawn at random. Define a random variable X to be 1 if a heart is drawn, 2 if a spade is dr
You would like to test if the cholesterol level for health science students is different from the population which has a mean of 222. You have collected data from 11 students (below). Conduct this t
Let X equal the number of alpha particle emissions of carbon-14 that are counted by a Geiger counter each second. Assume that the distribution of X is Poisson with mean 4. Let W equal the time in se
A turbine blade has a pattern of failure Weibull with shape parameter 0.6 and scale parameter 800hrs. Determine its reliability for a mission of 100hrs
A hypothesis test for variance is a very common hypothesis test performed. Why might variability be important to test? Give an example of a situtation in which you, as a statistician, might perform
A closet contains 8 different pairs of shoes. Four shoes are randomly selected. Let X be the number of complete pairs among the selected shoes. Find the probability mass function of X and display it
Discuss the following statements and explain why they are true or false: Increasing the number of predictor variables will never decrease the R^2.
A 0.05 significance level is used for a hypothesis test of the claim that when parents use the XSORT method of gender selection, the proportion of baby girls is different from 0.05. Assume that the
A population has mean 53 and standard deviation 12. Calculate the mean of x bar for a random sample of size 10.
Scores on a certain nationwide college entrance examination follow a normal distribution with a mean of 550 and a standard deviation of 100. Find the probability that a student will score over 690.