Finding Probabilities Associated With z-score Values   1)      What is the probability of getting a z-score > than +2.00 à p(z > +2.00)?   p (z > +2.00) =   2)      p (z < -0.68) =   3)      p (z between -1.00 and +1.00) =   4)      p (z < -1.96 or z > +1.96) =   5)      What percentile rank corresponds to the z-score +1.63?     Finding z-scores From Probabilities       6)        1)      What z-score separates the top 20%? 2)      What z-score separates the lowest 8%? 3)  What z-scores represent the middle 86.64%? 3)      What z-scores represent the middle 70% of the scores? (use column D)     Finding Probabilities from Specific X-values   1)      In a population with μ = 50, σ = 10, what is the probability of obtaining a score less than 35 à p (X < 35)?   2)  In a population with μ = 100, σ = 25, what is the probability of obtaining a score greater than 150?   3)  In a population with μ = 100, σ = 25, what is the probability of obtaining a score between 75 and 125?         Finding Specific X-values from Probabilities          1)  In a population with μ = 50, σ = 10 , what is the minimum score allowed in           order to be in the top 25% of the distribution?        2)  In a population with μ = 50, σ = 10, what is the maximum score allowed in           order to be in the bottom 10% of the distribution?       3)  In a population with μ = 50, σ = 10, what are the minimum and maximum scores           allowed in order to be in the middle 95%?

Question

Finding Probabilities Associated With z-score Values

 

1)      What is the probability of getting a z-score > than +2.00 à p(z > +2.00)?

 

p (z > +2.00) =

 

2)      p (z < -0.68) =

 

3)      p (z between -1.00 and +1.00) =

 

4)      p (z < -1.96 or z > +1.96) =

 

5)      What percentile rank corresponds to the z-score +1.63?

 

 

Finding z-scores From Probabilities

 

 

 

6)       

1)      What z-score separates the top 20%?

2)      What z-score separates the lowest 8%?

3)  What z-scores represent the middle 86.64%?

3)      What z-scores represent the middle 70% of the scores? (use column D)

 

 

Finding Probabilities from Specific X-values

 

1)      In a population with μ = 50, σ = 10, what is the probability of obtaining a score less than 35 à p (X < 35)?

 

2)  In a population with μ = 100, σ = 25, what is the probability of obtaining a

score greater than 150?

 

3)  In a population with μ = 100, σ = 25, what is the probability of obtaining a

score between 75 and 125?

 

 

 

 

Finding Specific X-values from Probabilities

 

 

     1)  In a population with μ = 50, σ = 10

, what is the minimum score allowed in

          order to be in the top 25% of the distribution?

 

     2)  In a population with μ = 50, σ = 10, what is the maximum score allowed in

          order to be in the bottom 10% of the distribution?

 

    3)  In a population with μ = 50, σ = 10, what are the minimum and maximum scores

          allowed in order to be in the middle 95%?

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