The data attached is for a sample of companies in specialty, food and staples, and multiline retailers. (Source: TDAmeritrade Stock Screener, accessed on 7/20/2020, data for Retail Apparel, Department, and Hyperstore industries)

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 -20 to -15 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 -150 to -126. 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 Revenue Growth data that lies within 1, 2, and 3 standard deviations of the mean.Determine, using the empirical rule, if the Revenue Growth data is approximately normally distributed.

(Do not need to show detailed computations for standard deviations here- but do need 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 Price/Sales. Describe, in a few sentences, the meaning of these z-scores being as specific to this context as possible.

6.Please access this article (https://jamanetwork.com/journals/jamainternalmedicine/fullarticle/2771095)that studies the effectiveness of intermittent fasting on weight loss (inspired by a student's project topic..) (in complete sentences!) identifying each of the following:

a)What is the population?

b)What is the sample?

c)Is the data qualitative, discrete, or continuous? EXPLAIN.

d)Describe the parameters.Give the value if possible.

e)Describe the statistics.Give the value if possible.

7.For each of the following, decide whether the mean, median, or mode would be the most useful measure of central tendency.Explain each answer with at least one complete sentence.(no explanation no points)Calculations are not necessary.

a)The following table gives the results of a survey in which 2,400 consumers were asked to indicate which brand of soap they purchased (most recent purchase).

Ivory

20.2%

Dove

16.2%

Softsoap

7.7%

Safeguard

7.2%

Irish Spring

4.6%

Others

44.1%

b)A marketing researcher wants to find the income ($ per year) of the people who buy his company's product.He finds the income of 20 people who have recently purchased the product.Ten earn forty thousand, five earn fifty thousand, four earn eighty thousand, and one customer earns two hundred thousand.

8.There are two brands of light bulbs.Ultralight bulbs that have lives with a mean of 3000 hours with a standard deviation of 200 hours and Electrolyte bulbs whose lives have a mean of 3000 hours with a standard deviation of 250 hours.If you were the purchasing manager for a hospital, which light bulbs would you buy and why? Explain thoroughly why.Does the context (a hospital) matter here?

9.Two random samples were taken to determine left foot length of female versus male bears based on measuring their tracks. Numerical summaries of the data are given. Use them to answer the questions.

A)Do male bears have longer feet than female bears?Are you sure?

B)Give a range of values in which you would expect to find 68% of all bears' feet lengths.Explain why you picked this range.

C)What is the shape of the distribution of bears' feet lengths?Explain.

EXTRA CREDIT :#1Consider the following data set with 10 observations:

3, 4, 7, 8, 10, 12, 14, 16, 19, X .Find 3 different values of X for which = .

#2Easiest extra credit I have ever given (my gift to you!):What are the three aspects of a data set that a statistician needs to know?