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 sample(s) are large (n>30). The dependent variable is categorical The dependent variable is quantitative The sample(s) were not collected at random. O The shape of the population distribution(s) is unknown. There is one random sample. The population distribution(s) have a normal shape. The population distribution(s) have a non-normal shape. There are two independent random samples. The sample(s) are small (n<30). O O

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 sample(s) are large (n>30).
The dependent variable is categorical
The dependent variable is quantitative
The sample(s) were not collected at random.
The shape of the population distribution(s) is unknown.
There is one random sample.
The population distribution(s) have a normal shape.
The population distribution(s) have a non-normal shape.
There are two independent random samples.
The sample(s) are small (n<30).
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 sample(s) are large (n>30). The dependent variable is categorical The dependent variable is quantitative The sample(s) were not collected at random. The shape of the population distribution(s) is unknown. There is one random sample. The population distribution(s) have a normal shape. The population distribution(s) have a non-normal shape. There are two independent random samples. The sample(s) are small (n<30).
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