What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.
Income range | 5-15 -- 15-25 -- 25-35 -- 35-45 -- 45-55 -- 55 or more |
Midpoint x | 10 ----- 20 ------- 30 -------- 40 ------- 50 ----- 60 |
Percent of super shoppers | 22% --- 13% ----- 21% -----17% -----20% -----7% |
(c)
Compute the expected income μ of a super shopper (in thousands
of dollars). (Enter a number. Round your answer to two decimal
places.)
μ = _____thousands of dollars
(d)
Compute the standard deviation σ for the income of super
shoppers (in thousands of dollars). (Enter a number. Round your
answer to two decimal places.)
σ = ______thousands of dollars
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