3. Suppose that the scores of architects on a particular...

3. Suppose that the scores of architects on a particular creativity test are normally distributed. Using a normal curve table, what percentage of architects have Z-scores a) Above 0.10 b) Below 0.10 c) Above 0.20 d) Below 0.20 e) Above 1.10 f) Below 1.10 g) Above -0.10 h) Below -0.10

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Transcript

00:01 In this question we are given that this scores of architects on a particular creativity test normally distributed.

00:13 So we need to find the z scores for the given observations.

00:19 Z scores here.

00:20 So our first part a where the question is asking for above 0 .10.

00:29 So that particular observation will be find it from, you can write this probability of getting z greater than 0 .10 will be equal to 0 .4602 when we read this value from z table and this will be similar or equal to 46%.

00:54 So here we have our solution for the first part of the question.

01:02 Now let's solve our second part, part b, where we need to find the value for probability of below 0 .10.

01:17 So this will be finite from value of probability that z is less than 0 .10.

01:23 And at c value will be equal to 0 .5398 will be equal to a similar to 53 .9%.

01:34 So this is our second solution for b part.

01:40 Now let's find out our next part.

01:43 C.

01:44 So in c part we need to find the probability of above above 0 .20 will be equal to probability of getting z greater than 0 .20 will be equal to from z table 0 .4207 which is similar to in percentage 42 .0 .4 .7.

02:12 1%.

02:13 And this is our next solution for part c.

02:20 Then we can find our next solution for part t...

Question

3. Suppose that the scores of architects on a particular creativity test are normally distributed. Using a normal curve table, what percentage of architects have Z-scores a) Above 0.10 b) Below 0.10 c) Above 0.20 d) Below 0.20 e) Above 1.10 f) Below 1.10 g) Above -0.10 h) Below -0.10

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