Company Name Market Capitalization Profit Margin Return on Equity Price/Sales Revenue Growth ($ millions) (profit per $1 sales ) (% in last year)...

The data attached is for a sample of companies in retail apparel, department, and multiline retailers.

1. Make an ungrouped frequency distribution for Price/Sales. Use the frequency distribution to find the mean, median, mode and standard deviation for Price/Sales ratio. (Note the boldface - must show and describe steps for how you USED the frequency distribution to compute the statistics)

2. Organize the data for Profit Margin in a grouped frequency distribution using -0.20 to -0.16 as the class limits of the first class. Make a relative frequency histogram. Describe the shape of the histogram. Predict, from the shape of the histogram, whether the mean is greater than the median or vice-versa. Calculate the mean and the median. Was your prediction correct?

3. Organize the data for Return on Equity in classes beginning with the class limits of -100 to -81. Draw an ogive for this data. Use your ogive to estimate the median. Then, find the actual median using the original data. Did the ogive provide a good estimate of the median? (Ogive is a graph of percentiles- it associates cumulative relative frequency with UPPER class boundary for each class)

4. (a) Determine the proportion of the Market Cap data that lies within 1, 2, and 3 standard deviations of the mean. Determine, using the empirical rule, if the Market Cap data is approximately normally distributed.

(b) Determine the proportion of the Return on Equity data that lies within 1, 2, and 3 standard deviations of the mean. Determine, using the empirical rule, if the Return on Equity data is approximately normally distributed.

(Do not need to show detailed computations for standard deviations here- but do not to show computations used to find intervals and then for percent within your intervals)

5. Find the z-score for Kohl's for Profit Margin. Also, find the z-score for Kohl's for Revenue Growth. Describe, in a few sentences, the meaning of these z-scores.

1.  Find an article that describes the results of a statistical study in which a statistic from sample was used to estimate a parameter for a population from either a newspaper, magazine, journal, or Web site. To answer this question, be sure to choose an article that mentions the sample size. I've recently seen many articles of this type in the New York Times (Tuesdays' Science section is a particularly good source), Health magazines, the Journal of the American Medical Association (JAMA), and the American Statistical Association Web site. You should not use the same article as another student. Submit the article and a paragraph describing the population, parameter, sample, statistic, and type of data in the study described in the article.