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A study conduced a few years ago claims adult men spend an average of 11 hours a week watching sports on tv. A recent sample of 100 adult men showed that the mean time they spend per week watching sports on TV is 9 hours. The population standard deviation is given to be 2.2 hours.
a) Test at the 1% significance level whether currently all adult men spend less than 11 hours per week watching sports on tv.
b) Calculate the p-value for this problem and conduct the test using the p-value method.
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
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Use population distribution to determine expected juror frequencies. Test researcher's claim at a = 0.01.
Let X be a random variable of the continuous type that has pdf f(x). If m is the unique median of the distribution of X and b is a real constant, show that E(X - bl) = E(X - ml) + 2 [(b - x)f(x) £lx, provided that the expectations exist.
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