A race car driver tested his car for time from 0 to 60 mph, and in 20 tests obtained an average of 48.5 seconds with a standard deviation of 1.47 seconds. A 95 confidence interval for the 0 to 60 time is 4.52 seconds to 5.18 seconds.
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Q. 2In general, the binomial probability P(X <= x) is approximated by the area under the normal curve to the left of x + - .5.
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Q. 3Statisticians have shown that the mathematical process that derived the Student t distribution is robust, which means that if the sampled population is nonnormal, the t-test of the population mean is still valid, provided that the population is not extremely nonnormal.
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Q. 4In general, the binomial probability P(X = x) is approximated by the area under a normal curve between x .5 and x + .5.
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Q. 5In order to determine the p-value associated with hypothesis testing about the population mean , it is necessary to know the value of the test statistic.
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Q. 6The normal approximation to the binomial distribution works best when the number of trials is large, and when the binomial distribution is symmetrical (like the normal).
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Q. 7A 90 confidence interval estimate for the population mean constructed with a small sample will have a margin of error that is approximately 90 of the population size n.
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