# Question

The article “The Distribution of Buying Frequency Rates” ( Journal of Marketing Research [1980]: 210–216) reported the results of a 312 -year study of toothpaste purchases. The investigators conducted their research using a national sample of 2071 households and recorded the number of toothpaste purchases for each household participating in the study. The results are given in the following frequency distribution:

a. Draw a histogram for this frequency distribution. Would you describe the histogram as positively or negatively skewed?

b. Does the square-root transformation result in a histogram that is more symmetric than that of the original data? (Be careful! This one is a bit tricky because you don’t have the raw data; transforming the endpoints of the class intervals results in class intervals that are not necessarily of equal widths, so the histogram of the transformed values has to be drawn with this in mind.)

a. Draw a histogram for this frequency distribution. Would you describe the histogram as positively or negatively skewed?

b. Does the square-root transformation result in a histogram that is more symmetric than that of the original data? (Be careful! This one is a bit tricky because you don’t have the raw data; transforming the endpoints of the class intervals results in class intervals that are not necessarily of equal widths, so the histogram of the transformed values has to be drawn with this in mind.)

## Answer to relevant Questions

Ecologists have long been interested in factors that might explain how far north or south particular animal species are found. As part of one such study, the paper “Temperature and the Northern Distributions of Wintering ...Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year’s graduates: Three attempts were made to contact each ...A company receives lightbulbs from two different suppliers. Define the variables x and y by x = lifetime of a bulb from Supplier 1 y = lifetime of a bulb from Supplier 2 Five hundred bulbs from each supplier are tested, and ...Suppose that a sample of size 100 is to be drawn from a population with standard deviation 10. a. What is the probability that the sample mean will be within 1 of the value of µ? b. For this example (n = 100, σ = 10), ...The article referenced in Exercise 8.25 reported that for unmarried couples living together, the proportion that are racially or ethnically mixed is .15. Answer the questions posed in Parts (a)– (e) of Exercise 8.25 for ...Post your question

0