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Question Description

DISCUSSOIN 1:

The Normal Probability Distribution

Discussion 3 Instructor’s Notes;

The discussion is an exercise inusing the probability tables—and then talking about it. Post early—thereis not really much to say. If you have a loose-leaf book, the table isobviously not on the inside front cover—all the tables are in AppendixB: Tables.

In §6.2 we are introduced to theNormal Probability Distribution and the special case of the NormalProbability Distribution, the Standard Normal Probability Distribution,which is a Normal Probability Distribution with mean (u) zero and variance (σ2) one.

One way to find probabilities from a Standard NormalDistribution is to use probability tables, which are located inside thefront cover of your textbook.

  • According to the table, what is the probability when z ≤ -1.75? The probability when z ≤ 1.75?
  • What properties of probability distributions and specificallythe Normal Probability Distribution do you notice from the twoprobabilities that you have found in the table?

DISCUSSION 2:

Relationship of Height and Weight

  • Using the given Height and Weight data set, follow the stepsin the weekly video or on pages 584-585 of the textbook for performing aregression analysis using Excel to analyze the Height and Weight Dataset (assume height is the input variable x and weight is the outputvariable y).
  • Once you have performed the analysis in Excel, state thecorrect simple linear regression equation and use the regressionequation to predict the weight (in pounds) of a person who is 65 inchestall 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?

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