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MTH 245 GMU Z Score & Standard Deviation Discussion Questions

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QUESTION 1: (a) what is a Z score and why is it useful

(b) When do you need to calculate and use a Z – Score

(c) What are the assumptions when you use a Z score.

(d ) Give real-life examples where you think a Z score would be useful. QUESTION2: After completing Assignment : Practice Finding the Z score using Technology, Describe how would use a calculator and Stat crunch to find

(a) Area to the Left

(b) Area to the Right

(c) Area between two z scores. QUESTION 3: After completing the Assignment : Confidence Interval for Means ,

Discuss the following:

( a) The differences between the Z- interval and T- interval.

(b) What determines when to use Z interval and T interval

(c ) Which interval would be appropriate to use for the project? Justify your answer. QUESTION 4 : Why do we have a margin of error in statistics? If statistics are meant to be accurate, why are they sometimes accompanied by an estimate of doubt? Discuss the concept of Margin of error as it relates to sample size. Find at least examples of 3 studies or reports online that used a margin of error to draw conclusions or make a prediction. QUESTION 5: a. Discuss your understanding of P value,

b. When is the null hypothesis rejected when using the P- value?

c. Is it accurate to conclude that the null hypothesis is “accepted”? give and example to illustrate why or why not? QUESTION 6: Discuss what can go wrong and the caution that need to be exercised when using regression models.

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