Identify the null and alternative hypotheses for a population mean with unknown sigma, including the mean difference between values in matched pairs.
Example Problems
A high school basketball player made of her free throws last season. Over the summer, she worked with a new coach and wanted to test if her free throw percentage had improved. She tracked a random sample of her free throws this season to see what proportion she made.
State the alternative hypothesis, , for this test.
State the alternative hypothesis, , for this test.
At a high school, of students ordered a yearbook last year. The yearbook staff redesigned the cover and wanted to test if the proportion of students ordering one had increased. They took a random sample of students to see what proportion of them had ordered a yearbook.
State the alternative hypothesis, , for this test.
State the alternative hypothesis, , for this test.
Felipe suspects that recent Aerie orders, on average, ship in less than 3 days. He wants to take a random sample of recent order histories to determine if there is convincing evidence to support his suspicion.
Let represent the mean shipping time for recent Aerie orders.
State the alternative hypothesis, , for Felipe's significance test.
Let represent the mean shipping time for recent Aerie orders.
State the alternative hypothesis, , for Felipe's significance test.
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