Question

Imagine that the results from the latest annual census in Canada show that the number of people living in a single household is normally distributed in the population with a μ = 3.8 and a σ = 2.4. You collect a random sample of 271 households from Halifax and find that the mean number of people living in a single household is 4.7 with a standard deviation of 2.1. Given this information, what type of hypothesis test would you use to determine if the mean household size in Halifax is different than the Canadian population?

Group of answer choices

z-test

Single sample t-test

Independent measures t-test

Repeated measures t-test

Not enough information to determine

Answer 1

The answer will be:

(e) Not enough information to determine.

Here, for Halifax, we are given the sample size, mean and standard deviation. But for Canadian population we are given only the mean and standard deviation. The sample size for the Canadian population is missing. Without this information we cannot determine whether the mean household size in Halifax is different than the Canadian population.

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