1. For a population with 80 and 10 find the z-score for each of the following va

Question

1. For a population with 80 and 10 find the z-score for each of the following values: (NOTE: you should be able to find these values using the definition of a z-score. You should not need to use a formula or do any serious calculations !) 75, 95, 100, 50, 60, 85 (3 points each) Find the (X value score) that corresponds to each of the following z-scores: 90,75,82,60,95,65 (3 points each) a. b. 2. A score that is 6 points below the mean corresponds to a z-score of -1.50, what is the population standard deviation? (12 points) 3. For a population with a standard deviation of o 12, a score of X 44 corresponds to a z --o.50. What is the population mean? (12 points) 4. For each of the following, identify the exam score that should lead to the better grade. In each case, explain your.answer a, A score of X : 74 on an exam with M : 82 and 8; OR a score of X :40 on an exam with -50 and 207(20 points) b. A score of X = 51 on an exam with : 45 and : 2; OR a score of X-90 on an exam with -70 . and 207(20 points)

Explanation / Answer

Ans:

3)

we know that

z=(x-mean)/std. dev

z=-0.5,standard deviation=12 and x=44

so,

-0.5=(44-mean)/12

44-mean=-6

mean=44+6=50

mean=50

1)

a)z=(x-80)/10

2)Given that

z=-1.5=-6/std. dev

std. dev=6/1.5=4

x z=(x-80)/10 75 -0.5 95 1.5 100 2 50 -3 60 -2 85 0.5

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