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The Wall Street Journal reported that long term Treasury bonds had a mean return of 24.03% in 2008. Assume that the returns for the long term Treasury bonds were distributed as a normal random variable, with a mean of 24.03 and a standard deviation of 10. If you select an individual Treasury bond from this population, what is the probability that it would have a return
a. less than 0 (a loss)?
b. between 10 and 20 ?
c. greater than 10 ?
If you select a random sample of 4 Treasure bonds from this population, what is the probability that the sample would have a mean return
d. less than 0 (a loss)?
e. between 10 and 20 ?
f. greater than 10 ?
g. Compare your results in parts (d) through (f) to those in parts (a) through (c)
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What does this data tell us by itself before we do anything with it such as doing hypothesis testing or comparing it to other data? How can this be used by the M&M company?
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Why might driver be tempted not to use seat belt "just on this trip"?
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