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1. A random sample of 100 households' weekly food expenditure represented by x from a particular city gave the following statistics:
xi = 11,000, and xi2 = 1,900,000.
(a) Find the mean and standard deviation for these data.
(b) Assuming that the food expenditure of the households of an entire city of 400,000 will have a bell-shaped distribution, how many households of this city would you expect to fall in each of the intervals, x ± s, x ± 2s, and x ± 3s?
Find the probability of guessing (a) exactly three answers correctly, (b) at least three answers correctly, and (c) less than three answers correctly.
At the .05 level of significance, is there evidence that that the proportion of delayed Southwest Airlines departures from Phoenix in January 2008 is greater than 25%? State the decision in terms of the problem.
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