QTS0109 Business Statistics

1. The $3 food voucher was given to improve response rate. However, the survey may still be prone to non-response bias. Explain what is non-response bias and why such bias may be present here. (5 marks)

2.  State and explain whether the statements below refer to descriptive or inferential statistics.
(a) Pharmacy chains in Singapore commented that the demand for health supplements is expected to increase by another 20% next year.
(b) In a survey of 1000 working adults, 400 cited busy work schedule as the main reason for not exercising regularly. (6 marks)

3a) Explain what is meant by the statement “There is only one true population parameter whereas the value of a statistic is sample dependent”.
(3 marks)

b) For the value highlighted in bold in the statements below, indicate whether it is a Parameter or a Statistic.
(i) In a random survey of a sample of 100 men who were overweight, 50 of them stated that they would cut their carbohydrate intake to reduce weight.
(ii) 40% of all the employees in ABC Company did a health screening in the last two years. Based on the results from Part (8a), create a histogram for the variable BMI. Label all axes clearly. Describe the shape of the distrib Create a scatter plot using Q1 (Age) on the horizontal axis and Q6 (hours of exercise) on the vertical axis.

4. State the direction of relationship between the variables . Explain why you think Q1 (Age) should be on the horizontal axis and Q6 (hours of exercise) on the vertical axis. Create a contingency table with variable Q5 (Main reason for less healthy food choice) as the Row variable and variable Q3 (Gender) as the column variable. Comment on the results obtained. (6 marks)

5. For variable “Q8 Mindful of food intake” group Choices 1 and 2 as “Foodie”, Choices 3 and 4” as “Moderate eater” and Choice 5 as “Health nut”. Create and label a pie chart.