TI-83 Excel Sketchpad formulas

      MAT123 Spring 2025 Notes

8.1 A Single Population Mean using the Normal Distribution

a) Define point estimate, margin of error, confidence interval estimate for the mean assuming σ is known, standard error.

b) Discuss the meaning of a confidence interval estimate (p 449 of text)

c) Interpret a CI estimate

d) Discuss width of CI and confidence level

e) Calculation of sample size needed for particular error tolerance

Confidence Intervals Watch in "All of Statistics I in 2.5 Hours" video the part on "Confidence Intervals" which begins at: (hours:minutes:seconds) 1:46:03 Read about confidence intervals on: " A Year of Statistics in an Hour or Two," Read about confidence intervals on the confidence interval web page

Vocabulary CONFIDENCE INTERVAL - range of expected values, a range of score in which the population parameter is believed to be.   alpha, - "(1- degree of confidence)," the probability a score does not fall into the confidence interval   LEVEL OF CONFIDENCE - in the picture below P( - E < < + E) -- a probability, usually expressed as a percent, that states how sure one is about the decision made by the test.     ex. Test with a 90% level of confidence that > 60, with -- probability a score is in the confidence interval containing the mean. E, error -- the maximum distance from the mean that still places a score within the confidence interval . (See above image.)

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