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Unit 8: Estimating with Confidence

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1 Unit 8: Estimating with Confidence
Review

2 Construct and interpret a Confidence Interval
Objectives: Construct and interpret a Confidence Interval Explain conditions RIN Critical value Find appropriate sample size for a given CL and ME Emphasize the appearance of “and confidence interval” b\c there is a huge difference between the two parts of this objective. Let students know that the conditions required to use a ConfInt should be familiar.

3 Example 1 (POD e2 page 516) The Chronicle of Higher Education reports that 72.1% of those college freshmen responding to a survey say that they are attending the school of their first choice. Given that n = 500, estimate the percent of all freshmen who attend their 1st choice with 95% confidence.

4 Example 2 (POD e2 page 516) In a study involving 18 male postal workers, the sample mean rating of an acceptable lift load was found to be 9.7 kg with a sample standard deviation of 4.3 kg. Suppose that in the population, the distribution of load rating is approx N. Construct and interpret a 99% CI for load rating.

5 Example 3 A survey from one year ago found that 22% of middle class adults believe that their financial situation has improved. How large a sample would you need to estimate the % who would say the same now to within 3%?

6 Compute and interpret a 90% CI
Example 3 (POD e2 page 506) Time (min) for UA flight from ABQ to Denver on 20 randomly selected days: 57 54 55 51 56 45 53 61 48 52 59 58 50 Follow up Q: if flight is scheduled to depart at 10 a.m., what would you recommend for the published arrival time? Justify your answer. Compute and interpret a 90% CI

7 Example 4 (POD 2e page 507) Mean time for random sample of 31 bats to consume a frog is 21.9 min with a sample standard deviation of 7.7 min. Find a 95% CI to estimate the average time it takes a bat to consume a frog. (Indian False Vampire Bat consumes both insects and frogs)

8 Uncertainty is about the interval.
What can go wrong? Uncertainty is about the interval. The interval is an est. of plausible values for a param. There is a difference between CL and CI Recognize your variables Give examples of intervals and have students identify the pt. est. and the ME. The blank in bullet 3 is predetermined when we declare how confident we wish to be….


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