Asked by Kaitlin Ptacek on May 29, 2024
Verified
A group of researchers wants to determine the mean annual household income for families receiving services at a large community centre.They randomly select ten families and record the following household incomes: $43,955,$42,740,$42,660,$43,800,$43,500,$44,250,$44,340,$40,390,$44,150,$44,200.Decide whether or not the conditions and assumptions for inference with a t-test are satisfied.Explain your answer.
T-test
A statistical test used to compare the means of two groups to determine if they are significantly different from each other.
Inference Conditions
Requirements that must be satisfied to validly use certain statistical inference methods.
Mean Annual Income
The average amount of money earned per year by an individual or household.
- Understand the assumptions underlying different statistical tests and when they are met.
- Recognize and apply the appropriate statistical test for different types of data and research questions.
Verified Answer
SM
Sabrina MoralesMay 31, 2024
Final Answer :
The sample is randomly selected,and it is reasonable to assume that the sample is less than 10% of the population.However,since there is an outlier and the data is skewed,the Nearly Normal Condition is not met.Since the sample size is so small and the data do not closely follow a Normal model,the conditions for inference are not satisfied.
Learning Objectives
- Understand the assumptions underlying different statistical tests and when they are met.
- Recognize and apply the appropriate statistical test for different types of data and research questions.
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