A survey of1,085 adults asked "Do you enjoy shopping for clothing for yourself?" The results aregiven below.

Enjoy Shopping for clothing for yourself

Gender

Total

Male

Female

Yes

238

276

514

No

304

267

571

Total

542

543

1085

a) Construct a table based on total percentages. b) Constructatablebasedonrowpercentages. c) Constructatablebasedoncolumnpercentages. d) What conclusion(s) do you reach from these analyses?

2.Given the revenues of top 10 of the Fortune Global 500, please use EXCEL to obtain the following measures:

Rank

Company

Revenue($M)

1

Walmart

514,405

2

Sinopec Group

414,649

3

Royal Dutch Shell

396,556

4

China National Petroleum

392,976

5

State Grid

387,056

6

Saudi Aramco

355,905

7

BP

303,738

8

Exxon Mobil

290,212

9

Volkswagon

278,342

10

Toyota Motor

272,162

*Fiscal year ended on or before March 31, 2019. Source:https://www.gfmag.com/global-data/economic-data/largest-companies

1. a)Determine the sample mean.
2. b)Determine the median.
3. c)Determinethemode.
4. d)Determine the sample variance.
5. e)Determine the sample standard deviation.
6. f)Determine the range.
7. g)Calculatethecoefficientofvariation.

3.A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in the individual bags. If the tea bags are underfilled, customers may not be able to brew the tea to be as strong as they wish. In addition, the company may be in violation of the truth-in-labeling laws.

For this product, the label weight on the packaging indicates that, on average, there are 5.5 grams of tea in a bag. Getting an exact amount of tea in a bag is challenging because of the variation in the temperature and humidity inside the factory, differences in the density of the tea, and the extremely fast filling operation of the machine (approximately 170 bags per minute. A sample of 50 tea bags produced in one hour by a single machine provided the following descriptive statistics expressed as weights in grams.

Tea bags (weight in grams)

Sample Mean

5.5014

Median

5.5150

Mode

5.5300

Sample Variance

0.0112

Sample Standard Deviation

0.1058

Range

0.5200

Minimum

5.2500

Maximum

5.7700

First Quartile

5.4400

Third Quartile

5.5300

Sample size

50

1. a)According to Empirical Rule, approximately what proportion of tea bags weigh between 5.3956 and 5.6072 grams?
2. b)Interpret the measures of central tendency within the context of this situation.
3. c)Why should the company producing the tea bags be concerned about the central tendency?
4. d)Interpret the measures of variation within the context of this situation.
5. e)Why should the company producing the tea bags be concerned about the variation?
6. f)Are the data skewed? Explain how you can use box-plot to determine the shape of the data? (no
7. need to submit the chart of a boxplot).
8. g)Is the company meeting the requirement set forth on the label that, on average, there are 5.5
9. grams of tea in a bag? Please explain.
10. h)If you were in charge of this process, what changes, if any, would you try to make concerning the
11. distribution of weights in the individual bags?

4.Twenty percent of the applications received for a particular position are rejected. Suppose there are fourteen applications,

1. a)What is the probability that none will be rejected?
2. b)What is the probability that all will be rejected?
3. c)What is the probability that less than two will be rejected?
4. d)What is the probability that more than four will be rejected?
5. e)What is the probability that between 3 and 8 will be rejected?
6. f)Determine the expected number of rejected applications.
7. g)Determine the variance.

Unit Demand

Probability

300

0.20

400

0.30

500

0.35

600

0.15