The following 3 tables summarize data on a random sample of 100 customers to a call centre by converting them to various percentages, by levels of satisfaction and the language that they spoke. Below these tables there are statements each with one blank to be filled in with the correct percentage (e.g. 7.95%). (Although there is only one correct percentage per statement, it is possible that the correct percentage may be found on more than one table. It doesn't matter in which table you found that correct percentage.)

% of customers:

language

satisfaction

English

French

Spanish

Total

very dis.

19.00%

5.00%

2.00%

26.00%

dissat.

1.00%

2.00%

16.00%

19.00%

neutral

14.00%

0.00%

1.00%

15.00%

satis.

4.00%

15.00%

4.00%

23.00%

very sat.

5.00%

2.00%

10.00%

17.00%

Total

43.00%

24.00%

33.00%

100.00%

% of customers:

language

satisfaction

English

French

Spanish

Total

very dis.

73.08%

19.23%

7.69%

100.00%

dissat.

5.26%

10.53%

84.21%

100.00%

neutral

93.33%

0.00%

6.67%

100.00%

satis.

17.39%

65.22%

17.39%

100.00%

very sat.

29.41%

11.76%

58.82%

100.00%

Total

43.00%

24.00%

33.00%

100.00%

% of customers

language

satisfaction

English

French

Spanish

Total

very dis.

44.19%

20.83%

6.06%

26.00%

dissat.

2.33%

8.33%

48.48%

19.00%

neutral

32.56%

0.00%

3.03%

15.00%

satis.

9.30%

62.50%

12.12%

23.00%

very sat.

11.63%

8.33%

30.30%

17.00%

Total

100.00%

100.00%

100.00%

100.00%

1. The percentage of Spanish callers who were dissat. were _____________

1. The percentage of callers who spoke English and were satis. were ____________

1. The percentage of callers who were either satis. or very sat. were ____________

1. The percentage of callers that spoke French was ______________

1. The percentage of callers who were neutral was _______________

1. The percentage of callers who were very sat. and spoke English were ____________

Question 2 (8 marks)

A conference consisting of 104 blue collar workers were classified by their country of employment and the industry in which they were employed. The number of employees in each country-industry combination were then counted and these counts were summarized in the following table. Using the results in this table, fill in the blanks accompanying several statements listed below with the correct answers. If your answer requires you to calculate a percentage, calculate that percentage to 2 decimal places (e.g., 23.72%) and show your calculations.

no. of employees:

industry

country

appliances

automotive

electronics

furniture

totals

Canada

9

4

13

7

33

Mexico

9

7

2

6

24

USA

9

8

15

15

47

totals

27

19

30

28

104

1. The percentage of Canadian workers who worked in the appliance industry was ____________

1. The percentage of electronics workers who worked in Mexico was ___________

1. The percentage of workers worked in either USA or Mexico was _______________

1. The number of employees who worked in Canada were _____________

1. The number of employees who worked in the appliance industry were __________

1. The number of employees who worked in the automotive industry and in the USA were ___________

1. The percentage of employees who worked in the electronics industry was ___________

1. The percentage of employees who worked in the USA was ______________

Question 4 (9 marks)

Based on the following number of items recently purchased at a convenience store by a random sample of eight customers, complete the following statements. When calculations are required, you need to show your calculations if you want to receive full credit if your final answer is correct. If an exact answer to a numerical question is not an integer, state your answer to 2-decimal places.

11 7 9 2 4 8 4 11

1. The mean number of items purchased by this sample is ___________ (2 marks)

1. The mode number of items purchased by this sample is/are _________ (1 mark)

1. The median number of items purchased by this sample is __________ (1 mark)

1. The range of the number of items purchased by this sample is _________ (1 mark)

1. The standard deviation of the number of items purchased by this sample is _________ (2 marks)

1. By comparing two of the above measures, the distribution of number of items purchased is ___________

(fill in the above blank with either symmetrical, right-skewed, or, left skewed) (1 mark)

1. The two measures you used to determine your answer to part f) were ___________ and ____________

(1 mark)

(Show any of your calculations below.)