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Review

Review. Unit 7: Hypothesis Testing. Things to consider:. What is the p-value? What is more serious – Type I error or Type II? How do we choose the level of significance? What does it represent?. More things to consider…. What is a hypothesis? When do I reject the alternative hypothesis?

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Review

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  1. Review Unit 7: Hypothesis Testing

  2. Things to consider: • What is the p-value? • What is more serious – Type I error or Type II? • How do we choose the level of significance? What does it represent?

  3. More things to consider… • What is a hypothesis? • When do I reject the alternative hypothesis? • What’s the difference between t and z?

  4. Know: • How to write hypotheses • What a type I/II error is and the consequences. • How to choose the level of significance. • What’s the probability of type I/II error called? • Be able to run a large sample proportion z-test, 1 sample mean z- test, and a 1 sample mean t-test.

  5. Harley-Davidson motorcycles make up 14% of all the motorcycles registered in the United States. You plan to interview an SRS of 500 motorcycle owners. What’s the probability that 20% or more own Harleys?

  6. A study found that 48 out of the 200 students surveyed had cheated on a test. Calculate a 90% confidence interval for the true proportion of student who have cheated on a test.

  7. Approximately 82% of all students have copied a classmate’s homework. I have a class of 32. • How many do you expect to find have copied? • What is the probability that exactly 28 have copied? • What is the probability that at least 25 have copied? • What is the probability that less than 21 have copied?

  8. The number of flaws per square yard in a type of carpet material varies with a mean of 1.8 flaws per square yard and st. dev. 1.2 flaws. An inspector studies 200 square yards, what the probability that the mean number of flaws exceeds 2 per square yard?

  9. The probability that Ed hits the ball when he goes to bat is 0.23. Find the probability that he doesn’t get a hit until his 3rd time at bat.

  10. If I want to estimate the mean SAT score within 5 points with a 99% confidence, how large of a sample would you need. The standard deviation is 100.

  11. The composition of the earth’s atmosphere may have changed over time. The gas in bubbles within amber should be a sample of the atmosphere at the time the amber was formed. The measures on specimens of amber are shown below. Construct and interpret a 95% confidence interval for the mean percent of nitrogen in ancient air.

  12. Find the mean and standard deviation of the following:

  13. I want to test my sweet pea seeds to determine the germination rate, that is the percent of seeds that sprout. How large of a sample of seeds will I need to be within 4% of the true proportion?

  14. Study for your Test!

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