Statistics

Due: September 22nd at 2:04 pm No late papers will be accepted. SHOW ALL WORK!

The data attached is for a sample companies in retail apparel and department stores (Source: Yahoo Finance Industry data for Apparel, Department and Discount stores as of 9/12/16)

1. Make an ungrouped frequency distribution for Price to Book. Use the frequency distribution to find the mean, median, mode and standard deviation for Price to Book.

2. Organize the data for Return on Equity in a grouped frequency distribution using -50to -30.1 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 Net Profit Marginin classes beginning with the class limits of -10 to -5.01. 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?

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 Price to Book data that lies within 1, 2, and 3 standard deviations of the mean. Determine, using the empirical rule, if the Price to Book data is approximately normally distributed.

5. Find the z-score for Kohl’s for Market Cap. Also, find the z-score for Kohl’s for Return on Equity 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), the Wall Street Journal, 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.