P.S-IC.B.5
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.
Example Problems
Roshanda suspects that teachers in her state, on average, have less than 5 years experience. She wants to take a random sample of teachers to determine if there is convincing evidence to support her suspicion.
Let represent the average years of experience for teachers in Roshanda's state.
State the null hypothesis, , for Roshanda's significance test.
Let represent the average years of experience for teachers in Roshanda's state.
State the null hypothesis, , for Roshanda's significance test.
A city planner suspects that commuters in her city, on average, spend less than 35 minutes traveling to work. She will take a random sample of commuters to determine if there is convincing evidence to support her suspicion.
Let represent the average one-way commute time for commuters in this city.
State the null hypothesis, , for the planner's significance test.
Let represent the average one-way commute time for commuters in this city.
State the null hypothesis, , for the planner's significance test.
An orchard manager introduced a new fertilizer and suspects that the apples harvested this season, on average, are larger than in diameter. They plan to randomly sample apples to determine if there is convincing evidence to support this suspicion.
Let represent the average diameter of apples in this orchard this season.
State the null hypothesis, , for their significance test.
Let represent the average diameter of apples in this orchard this season.
State the null hypothesis, , for their significance test.
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