The Normal Probability Distribution
Discussion 3 Instructorâ€™s Notes;
The discussion is an exercise in using the probability tablesâ€”and then talking about it. Post earlyâ€”there is not really much to say. If you have a loose-leaf book, the table is obviously not on the inside front coverâ€”all the tables are in Appendix B: Tables.
In Â§6.2 we are introduced to the Normal Probability Distribution and the special case of the Normal Probability Distribution, the Standard Normal Probability Distribution, which is a Normal Probability Distribution with mean (u) zero and variance (Ïƒ2) one.
One way to find probabilities from a Standard Normal Distribution is to use probability tables, which are located inside the front cover of your textbook.
- According to the table, what is the probability when z â‰¤ -1.75? The probability when z â‰¤ 1.75?
- What properties of probability distributions and specifically the Normal Probability Distribution do you notice from the two probabilities that you have found in the table?
Relationship of Height and Weight
- Using the given Height and Weight data set, follow the steps in the weekly video or on pages 584-585 of the textbook for performing a regression analysis using Excel to analyze the Height and Weight Data set (assume height is the input variable x and weight is the output variable y).
- Once you have performed the analysis in Excel, state the correct simple linear regression equation and use the regression equation to predict the weight (in pounds) of a person who is 65 inches tall and the weight (in pounds) of a person who is 100 inches tall.
- Why might the regression equation you have found not be a good predication of the weight of someone who is 100 inches tall?