Eco1Isb Introductory Statistics for Business
ECO1ISB Introductory Statistics for Business
Assignment 2: Inferential Statistics
|Hand out: |Week 7 |
|Hand in : |Week 11 |
1. [8 marks]
What are parameters and statistics (or estimates)? List two of the parameters and their corresponding statistics that were covered in Topics 7 & 8, and give examples of each.
2. [4 × 8 = 32 marks]
Identify each of the following studies as a survey, observational study, or experiment; and list the descriptive (numerical & graphical) and inferential tools that you would use to analyse the data. [Hint: Use the summary tables at the end of your Topic 2, 3, and 7 lecture notes to choose descriptive and inferential tools.] To gain full marks you must explain your choices.
a) A random sample of 50 households was selected from a list of households in each of Albury and Wodonga (i.e., 100 households in total were selected), and each household was visited to determine whether they have a rainwater tank (yes or no). The question of interest is whether there is evidence of a difference between the proportions of households with rainwater tanks between the two towns.
b) Can pleasant aromas help a student learn better? There is reason to believe that the presence of a floral scent can improve a person's learning ability in certain situations. To test this hypothesis, 50 people were randomly assigned to one of two treatment groups. One group worked through a set of pencil and paper mazes while wearing a floral-scented mask. The other group performed the same tasks while wearing an unscented mask. Testers measured the length of time it took subjects to complete each of the trials.
c) To determine whether hormone-replacement therapy (HRT) increases the risk of breast cancer, a
Assignment 2: Inferential Statistics
|Hand out: |Week 7 |
|Hand in : |Week 11 |
1. [8 marks]
What are parameters and statistics (or estimates)? List two of the parameters and their corresponding statistics that were covered in Topics 7 & 8, and give examples of each.
2. [4 × 8 = 32 marks]
Identify each of the following studies as a survey, observational study, or experiment; and list the descriptive (numerical & graphical) and inferential tools that you would use to analyse the data. [Hint: Use the summary tables at the end of your Topic 2, 3, and 7 lecture notes to choose descriptive and inferential tools.] To gain full marks you must explain your choices.
a) A random sample of 50 households was selected from a list of households in each of Albury and Wodonga (i.e., 100 households in total were selected), and each household was visited to determine whether they have a rainwater tank (yes or no). The question of interest is whether there is evidence of a difference between the proportions of households with rainwater tanks between the two towns.
b) Can pleasant aromas help a student learn better? There is reason to believe that the presence of a floral scent can improve a person's learning ability in certain situations. To test this hypothesis, 50 people were randomly assigned to one of two treatment groups. One group worked through a set of pencil and paper mazes while wearing a floral-scented mask. The other group performed the same tasks while wearing an unscented mask. Testers measured the length of time it took subjects to complete each of the trials.
c) To determine whether hormone-replacement therapy (HRT) increases the risk of breast cancer, a