Question

QUESTION 42

1. The last four questions deal with one final word problem.  Notice, there is no standard deviation given! This means you cannot calculate exact z-scores, but you can still answer the questions.

   One thing to keep in mind - in the context of z-scores - 'small' and 'large' are always based on distance from mean.

   So a number like -1.40 on a number line would be a smaller number than -0.2.

   But in the context of z-scores, the person who had a z-score of -1.40 would have a larger negative z-score (further from the mean) than the person with a z-score of -0.2. (This is discussed in the Power Point slides as well.)

   Here is the word problem:

   A class takes a test and the mean for the class is 75. The results are normally distributed. Here are individual results for some of the students:

   Andrew: 78

   Daniel: 88

   Ryan: 70

   Caleb: 65

   Jermaine: 92

   Which of these students would have the largest positive z-score?

   	A.	Andrew
   	B.	Daniel
   	C.	Ryan
   	D.	Caleb
   	E.	Jermaine

   QUESTION 43

2. A class takes a test and the mean for the class is 75. The results are normally distributed. Here are individual results for some of the students:

   Andrew: 78

   Daniel: 88

   Ryan: 70

   Caleb: 65

   Jermaine: 92

   Which of these students would have the largest negative z-score?

   (See question #42 to remember about 'large' and 'small' for negative z-scores.)

   	A.	Andrew
   	B.	Daniel
   	C.	Ryan
   	D.	Caleb
   	E.	Jermaine

   QUESTION 44

3. A class takes a test and the mean for the class is 75. The results are normally distributed. Here are individual results for some of the students:

   Andrew: 78

   Daniel: 88

   Ryan: 70

   Caleb: 65

   Jermaine: 92

   Which of these students would have the smallest positive z-score?

   	A.	Andrew
   	B.	Daniel
   	C.	Ryan
   	D.	Caleb
   	E.	Jermaine

Answer 1

Q.42

mean = 75
Numerator of Z-score for individual given by
Andrew: 78 - 75 = 3

Daniel: 88 - 75 = 13

Ryan: 70 - 75 = -5

Caleb: 65 - 75 = -10

Jermaine: 92 -75 = 17

Jermaine has Lagerst positive numerator of Z-score.
ans : E) Jermaine would have the largest positive z-score.

Q.43. Caleb & Ryan have negative numerator. Caleb has - 10 & Ryan has -5. But as mentioned above even though -5 is greater than -10. But in context of Z-score. Caleb has Lager Z-score than Ryan.
ans. D) Caleb would have the largest negative z-score.

Q.44. Andrew has numerator 3. Which is smaller among all positive numerator.
ans. A) Andrew would have the smallest positive z-score