Chapter 1
Overview of Statistics
Chapter 2
Data Collection

Assignment

(32 points due by 11 pm September 30th)

Note: You can team up with one of your classmates to complete the assignment (not more than two in a team); if you want to work on the assignment individually, that’s also fine. If you are working in teams, then only one submission is required per team; include both the team members’ last names as part of the assignment submission file name as well as in the assignment submission document.

Please provide detailed solutions to the following problems/exercises (4 problems/exercises x 8 points each):

1) Which type of data (categorical, discrete numerical, continuous numerical) is each of the following variables?

a) Number of spectators at a randomly chosen US Open tennis match.
Continuous numerical.
b) Water consumption (in liters) by a randomly chosen US Open player during a match.
Discrete numerical.
c) Gender of a randomly chosen tennis player in the US Open tennis tournament.
Categorical

2) Which measurement level (nominal, ordinal, interval, ratio) is each of the following variables?

a) Number of annual office visits by a particular Medicare subscriber. Ordinal
b) Daily caffeine consumption by a six year old child. Interval
c) Type of vehicle driven by a college student. Nominal

3) Would you use a sample or a census to measure each of the following? Why?

a) The number of cans of Campbell’s soup on your local supermarket’s shelf today at 6 pm. I will use Census. It is easy to count the number of cans because it has specific time.
b) The proportion of soup sales last week in Boston that was sold under the Campbell brand. I will use Sample. It is difficult to gather date from the entire population because population. It is too large, so it is better to gather data on a subset of large population.
c) The proportion of Campbell’s brand soup cans in your family’s pantry. I will use Census. The entire population is small. So it is easy collect.

4) A tabletop survey by a restaurant asked the following question: Were the food and beverage presentations appealing (tick any one: Yes, No).

a) What kind of response scale is this?
It is like the nominal measurement. There are only two response, the one is yes and the other one is no.
b) Suggest an alternative response scale that would be more sensitive to differences in opinion.
For example 1. For appealing very much 2. For appealing somewhat 3. For neutral 4. For not appealing somewhat 5. not appealing very much