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**Question A**

1. Name the variables and indicate whether they are continuous or categorical. (2 marks) – (Gender, Customer Satisfaction, etc)

2. Compute the mean, median and mode for customers’ satisfaction. (2 marks)

3. Explain the advantages and disadvantages of the three measures of central

Tendency. (3 marks)

4. Name four measures of dispersion. Explain the advantages and disadvantages for each measure. (3 marks)

5. Compute the variance and standard deviation for customers’ satisfaction. (2 marks)

6. The histogram below illustrates the normality for the variable customers’ satisfaction. Make some conclusions about the normality. Please, give the definitions of the concepts a) skewness and b) kurtosis. (4 marks)

7. Find the frequencies for the variable Gender. What is the total number of customers? Are there any missing values? (2 marks)

8. Create an appropriate graph(s) (in Microsoft Excel or SPSS) to show the number of males and females. (2 marks)

**Question B**

For each of the following variables, determine whether the variable is categorical or

numerical. If the variable is numerical, determine whether the variable is discrete or

continuous. (10 marks)

1. Number of telephones per household

2. Whether there is a high-speed Internet connection in the household

3. Name of Internet provider

4. Amount of time spent surfing the Internet per month

5. Number of online purchases made in the past month

6. Number of textbooks purchased in a month

7. Number of e-mails received in a week

8. Whether the individual has a smartphone

9. Employment status

10. Height

**Question C**

The following table represents world oil consumption in millions of barrels a day in

2009:

1. Compute the percentage of values in each category. (8 marks)

2. Create an appropriate graph(s) (in Microsoft Excel or SPSS) to show the percentage of oil consumption in different regions. (2 marks)

**Question D**

The following data represent the battery life (in shots) for a sample of 12 three-pixel

digital cameras:

300, 180, 85, 170, 380, 460, 260, 35, 380, 120, 110, 240

1. Compute the mean, median, and mode (4 marks)

2. Compute the range, variance and standard deviation (4 marks)

3. Are the data skewed? If so, how? (2 marks)

**Question E**

The data below is about the cost of electricity during May 2010 for a random sample

of 50 one-bedroom apartments in a large city.

90 96 154 171 143 187 166 137 213 153

163 95 140 130 120 191 90 145 108 119

135 168 95 172 202 116 178 130 141 197

150 144 128 123 175 140 149 147 183 200

114 150 98 111 148 206 185 151 102 157

1. Construct a frequency distribution and a percentage distribution that have class

intervals with the upper class boundaries $119, $139, and so on. (10 marks)

2. Construct a cumulative percentage distribution. (3 marks)

**Question F**

An experiment has a single factor with four groups and eight values in each group.

5. At the 0.05 significance level (Fa = 3.89) what is your statistical decision? Please, give a detailed explanation. (8 marks)

**Question G**

A marketing manager of a well-known bookstore in the UK conducted a survey measuring customers’ loyalty. Customers’ Loyalty was measured with one question on an ordinal scale from 1 to 10, with lower values indicating less strength and higher values greater strength. The manager also took details on their gender. The manager performed a t-test to examine whether there was an association between the variables loyalty and gender. The results are shown below:

T-test results for loyalty between male and females. Grouping variable was

gender. The mean difference expresses: (male’s mean – female’s mean).

1. What are the assumptions of t-tests? Give examples. (5 marks)

2. What is the difference between a null hypothesis H0, and an alternative hypothesis, H1? What is the null hypothesis and the alternative hypothesis in this question? (4 marks)

3. Is loyalty significantly associated with gender? Why? Please, specify your answer. (4 marks)

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