can someone show me how to do these? Given that 360 1Q scores are normally distr

Question

can someone show me how to do these?

Given that 360 1Q scores are normally distributed with a mean of 100 and a standard deviation of 15, you are to answer the questions 3 - 10. Question 3 (1 point) What z-score corresponds to an IQ score of 112? Question 4 (1 point) What z-score corresponds to an 1Q score of 1187 Question 5 (1 point) What z-score corresponds to an 1Q score of 88? ? Save Question 6 (1 point) What IQ score corresponds to a z-score of -0.60? Save Question 7 (1 point) What IQ score corresponds to a z-score of 1.40? Question 8 (1 point) What IQ score corresponds to a z-score of 8.00?

Explanation / Answer

A z score gives a measure how many standard deviations a data is away from the mean. It is calculated using:

(X-mean) /standard deviation

3)z score for IQ 112 is:

(112-100)/15=0.8

4)z score for IQ 118 is:

(118-100)/15=1.2

5)z score for IQ 88 is:

(88-100)/15=-0.80

6) z score for IQ - 0.60is:

(-0.60-100)/15=-6.707

Using the same formula you can find z score for other values. In que. 6,7 and 8

9) IQ score that falls two standard deviation below the mean is obtained by using mean-2*standard deviation

=100-2*15=70

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