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1. Baseball player Tom Brookens once commented on his low batting average of .176: "I figure the law of averages has got to come into play sooner or later." A batting average is the ratio of hits to times at bat. Do you think the law of large numbers can be counted on to save Tom's batting average?
2. The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
The one-sample t statistic has the value t = -1.68. What do we know about the P -value of this test?
Find the mean and standard deviation of X, the number of students in class, who will develop influenza.
Some researchers have conjectured that stem-pitting disease in peach tree seedlings might be controlled with weed and soil treatment. An experiment was conducted to compare peach tree seedling growth with soil and weeds treated with one of two her..
Explain the strength of relationship between the assets?
Another day, it took Eric only 12 minutes to get to work. Using the same formula, determine the z value. Is it positive or negative? Explain why it should be positive or negative.
Test whether there is a statistical difference between the two proportions at the 5% significance level.
If x is a binomial random variable where n = 100 and p = .1, find the possibility that x is less than or equal to 10 using the normal approximation to the binomial.
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
At the .05 significance level, is the number of units produced on the afternoon shift larger?
How does the bell-shaped curve for the sampling distribution of sample means for samples of size n = 100 compare to the bell-shaped curve for sampling distribution of sample means for samples of size n = 60.
Find out the range (R), variance (V) and standard deviation (s) for the given set of values:
A check of dorm rooms on a large college campuses revealed that 38% had refrigerators, 52 percent had TVs and 21 percent had both a TV and a refrigerator. What's the probability that a randomly selected dorm room has.
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