Suppose the probability that a softball player gets a hit in any single at-bat is .. Assuming that her chance of getting a hit at a particular time at bat is independent of her other times at bat, what is the probability that she will not get a hit until her fourth time at bat in a game?
(e) role="math" localid="1650371346957"
The probability that she will not get a hit until her fourth time at bat in a game is (e) .
We can use the Geometric probability equation:
A geometric distribution follows the initial success among independent attempts.
We want to know how likely it is that the first hit will come on the fourth batter, thus we'll use the definition of geometric probability at :
A large university is considering the establishment of a schoolwide recycling program. To gauge interest in the program by means of a questionnaire, the university takes separate random samples of undergraduate students, graduate students, faculty, and staff. This is an example of what type of sampling design?
(a) Simple random sample
(b) Stratified random sample
(c) Convenience sample
(d) Cluster sample
(e) Systematic sample
Refer exercise Suppose we select independent SRSs of men aged to and boys aged and calculate the sample mean heights and .
(a) Describe the shape, center, and spread of the sampling distribution of.
(b) Find the probability of getting a difference in sample means that’s less than mg/dl. Show your work.
(c) Should we be surprised if the sample mean cholesterol level for the -year-old boys exceeds the sample mean cholesterol level for the men? Explain.
42. Long words Mary was interested in comparing the mean word length in articles from a medical journal and an airline’s in-flight magazine. She counted the number of letters in the first words of an article inthe medical journal and in the first words of an article in the airline magazine. Mary then used Minitab statistical software to produce the histograms shown.
The Environmental Protection Agency is charged with monitoring industrial emissions that pollute the atmosphere and water. So long as emission levels stay within specified guidelines, the EPA does not take action against the polluter. If the polluter is in violation of the regulations, the offender can be fined, forced to clean up the problem, or possibly closed. Suppose that for a particular industry the acceptable emission level has been set at no more than parts per million ( ppm). The null and alternative hypotheses are role="math" localid="1650298159260" versus . Which of the following describes a Type II error?
(a) The EPA fails to find evidence that emissions exceed acceptable limits when, in fact, they are within acceptable limits.
(b) The EPA concludes that emissions exceed acceptable limits when, in fact, they are within acceptable limits.
(c) The EPA concludes that emissions exceed acceptable limits when, in fact, they do exceed acceptable limits.
(d) The EPA takes more samples to ensure that they make the correct decision.
(e) The EPA fails to find evidence that emissions exceed acceptable limits when, in fact, they do exceed acceptable limits.
Thirty randomly selected seniors at Council High School were asked to report the age (in years) and mileage of their main vehicles. Here is a scatterplot of the data:
(a) What is the equation of the least-squares regression line? Be sure to define any symbols you use.
(b) Interpret the slope of the least-squares line in the context of this problem. (c) One student reported that her -year-old car had miles on it. Find the residual for this data value. Show your work
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