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Statistics Homework – Week 2

Chapter 1:
1.1 -
Three different types of drinks are sold at a fast food restaurant – soft drinks, fruit juices and coffee. A) Explain why the type of drinks sold is an example of a categorical variable Categorical variables take values that fall into one or more categories. As there are 3 different types of drinks, they would all fall into their own categories rather than numerical.

B) Explain why the type of drinks sold is an example of a nominally scaled variable The type of drinks sold is an example of a nominally scaled variable as there are no rankings involved between the drinks. For example, each type of drink is equal.

1.3 -
Suppose that you measure the time it takes to download an MP3 file from the internet. A) Explain why the download is a numerical variable
Numerical variables record numbers through observations. As the time taken to download the file produces a number represented by time, the download is a numerical variable.

B) Explain why the download time is a ratio scaled variable The download time is a ratio scaled variable as the time differences involve a true zero point, meaning that they use the same time scale.

1.7 -
Suppose the following information is collected from Andrew and Fiona Chen on their application for a home mortgage loan at metro home loans: A) Monthly expenses; $1 820
Type: Numerical - Continuous
Level of measurement: Interval scale

B) Number of children being supported by applicant(s): 2
Type: Numerical - Discrete
Level of measurement: Interval scale

C) Annual family salary income; $95 000
Type: Numerical - Continuous
Level of measurement: Interval scale

D) Marital status: Married
Type: Categorical
Level of measurement: Ratio scale
Classify each of the responses by type of data and level of measurement. Chapter 2:

2.5
A)

B)
Pat should have on display many white, blue and red cars, as they make up over half of the...
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