Statistics - Percentile Calculation
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(1) The mean rate for cable television from a sample of households was $29.50 per month, with a standard deviation of $2.75 per month. Estimate the percent of cable television rates between $24 and $32.25. (Assume that the data set has a bell-shaped distribution.)
(2) In 2004 there were 728 "oldies" radio station in the United States. If one station finds that 138 stations have a larger daily audience than it does, what percentile does this station come closest to in the daily audience ranking?
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(1) m = 29.50, s = 2.75, x1 = 24, x2 = 32.25
z1 = (x1 - m)/s = (24 - 29.5)/2.75 = -2 ...
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