Scenario: A researcher believes that elementary school teachers who are womer earn less than their male counterparts. She collects data from elementary school teachers and finds that among a randonm

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What are the assumptions for this hypothesis test? (Select all that apply)
**Scenario:** A researcher believes that elementary school teachers who are women earn less than their male counterparts. She collects data from elementary school teachers and finds that among a random sample of 100 teachers who are women, the mean yearly salary is $57,600 with a standard deviation of $1,000. The mean salary for a random sample of 225 elementary school teachers who are men is $58,800 with a standard deviation of $1,100. Conduct a hypothesis test to assess the researcher’s claim.

**Question:** What are the assumptions for this hypothesis test? (Select all that apply)
Transcribed Image Text:**Scenario:** A researcher believes that elementary school teachers who are women earn less than their male counterparts. She collects data from elementary school teachers and finds that among a random sample of 100 teachers who are women, the mean yearly salary is $57,600 with a standard deviation of $1,000. The mean salary for a random sample of 225 elementary school teachers who are men is $58,800 with a standard deviation of $1,100. Conduct a hypothesis test to assess the researcher’s claim. **Question:** What are the assumptions for this hypothesis test? (Select all that apply)
- The population distribution(s) have a non-normal shape.
- There is one random sample.
- The sample(s) were not collected at random.
- The sample(s) are small (n<30).
- The shape of the population distribution(s) is unknown.
- The sample(s) are large (n>30).
- The dependent variable is categorical.
- The dependent variable is quantitative.
- The population distribution(s) have a normal shape.
- There are two independent random samples.
Transcribed Image Text:- The population distribution(s) have a non-normal shape. - There is one random sample. - The sample(s) were not collected at random. - The sample(s) are small (n<30). - The shape of the population distribution(s) is unknown. - The sample(s) are large (n>30). - The dependent variable is categorical. - The dependent variable is quantitative. - The population distribution(s) have a normal shape. - There are two independent random samples.
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