1. The mean number of siblings for respondents in a survey is 3.76 with a standa

Question

1. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Calculate the Z score associated with 3 siblings. Your answer should be rounded to two decimal places, like 5.43 or 1.30.

2. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Using the standard normal table, calculate the proportion of respondents who had more than 2 siblings. Your answer should be rounded to two decimal places, like 0.43 or 0.30.

Explanation / Answer

1. Z score associated with 3 siblings = (X - mean0/standard deviation

= (3-3.76)/3.18 = -0.24

2. P( more than 2 siblings) = 1 - P(less than 2 siblings)

= 1 - P(X<2)

= 1 - P(Z< (2-3.76)/3.18)

= 1 - P(Z<-0.55)

= 1 - 0.2912

= 0.71

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