a)
To state which test would be appropriate for given situation.
a)
Answer to Problem 1E
Chi-square test for independence.
Explanation of Solution
Given:
A brokerage firm wants to see whether the type of account a customer has (Silver, Gold, or Platinum) affects the type of trades that customer makes (in per-son, by phone, or on the Internet). It collects a random sample of trades made for its customers over the past year and performs a test.
Here, researcher wants to check relationship between two variables. Therefore, when there are independent two variables then Chi-square test for independence would be appropriate to use.
b)
To state which test would be appropriate for given situation.
b)
Answer to Problem 1E
Other test.
Explanation of Solution
Given:
That brokerage firm also wants to know if the type of account affects the size of the account (in dollars). It performs a test to see if the mean size of the account is the same for the three account types.
Chi-square test would be appropriate when the variables are categorical. Here, the size of the accounts is in dollar which is quantitative. Hence, other test would be useful.
c)
To state which test would be appropriate for given situation.
c)
Answer to Problem 1E
Chi-square test for homogeneity.
Explanation of Solution
Given:
The academic research office at a large community college wants to see whether the distribution of courses chosen (Humanities, Social Science, or Science) is different for its residential and nonresidential students. It assembles last semester's data and performs a test.
Here, researcher is interested to check the distribution of residential and non-residential students. Therefore, Chi-square test for homogeneity is appropriate.
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