Finding z scores and p values


Assignment:

Fill in the answers for each table below. Please report your z scores to two decimals and your p values to three decimals. If the p value is less than .001, please report p < .001.

Question 1

µ=25

σ=2


X

z

p(z)

33

 

 

35

 

 

43

 

 

22

 

 

17

 

 




µ=25

σ=5


X

z

p(z)

33

 

 

35

 

 

43

 

 

22

 

 

17

 

 




µ=25

σ=8


X

z

p(z)

33

 

 

35

 

 

43

 

 

22

 

 

17

 

 

Question 2

Setting µ = 60 and σ = 7

  • What is the z score of 78?
  • What is the z score of 45?
  • What is the probability of 59?
  • What is the probability of 62?
  • What score falls at z = 1.64?
  • What score falls at z = -1.96?
  • What percentage of scores are 73 or less?
  • What proportion of scores is between 45 and 78?

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