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% (a)  Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain. Yes. The events are distinct and the probabilities sum to 1.Yes. The events are distinct and the probabilities do not sum to 1.    No. The events are indistinct and the probabilities sum to 1.Yes. The events are indistinct and the probabilities sum to less than 1.No. The events are indistinct and the probabilities sum to more than 1. (b)  Use a histogram to graph the probability distribution of part (a). (Select the correct graph.)      (c)  Compute the expected income ? of a super shopper (in thousands of dollars). (Enter a number. Round your answer to two decimal places.) ? =   thousands of dollars (d)  Compute the standard deviation ? for the income of super shoppers (in thousands of dollars). (Enter a number. Round your answer to two decimal places.) ? =   thousands of dollars

2. The boxplot below represents data collected on some variable of interest. The mean of this data set is 51. The vertical line represents some value which we will call "X". In the table below there are ten numbers, ordered from smallest to largest. For parts a. through f., write down the number that matches the appropriate value from the table. No number will be used more than once, and four numbers will not be used at all. X : 40 45 50 55 60 - 5.9 - 0.63 0.69 5.1 17.8 20.5 48.5 51.9 53.6 56.3 a. Q1 (25th percentile) = b. Median = c. Range = d. Q3 (75th percentile) = e. IQR = f. Proportion of data larger than X= 1

You have the following data on consumption and income (in $10,000s).   Income 9 11 5 8 2 9 12 Consumption 7 7 2 7 2 8 9   Make a scatterplot and draw the line of best fit.

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In a month where the price of eggs is above average, would you expect the price of milk to be above average or below average? Explain.

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% 14% 21% 16% 20% 7% (a) Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain. Yes. The events are indistinct and the probabilities sum to less than 1.   No. The events are indistinct and the probabilities sum to 1.       Yes. The events are distinct and the probabilities do not sum to 1.   Yes. The events are distinct and the probabilities sum to 1.   No. The events are indistinct and the probabilities sum to more than 1.…