## Answers

The **range rule of thumb** is a handy method of **estimating** the **range** from the **standard deviation**. It tells us that the **range** is generally about four times the **standard deviation**.

i.e. Range = 4*sigma

Sigma = (max - min )/4 = (108-44)/4= 16

Zc= 1.64 ; sigma= 16 ;

ME=3

n= ( 1.64*16/3)^2 = 76.957

b) Given that, sigma=12.5

ME=3

n>= 46.9712

c) Since, the sample size obtained in a) is greater than sample size obtained in b) , because the standard deviation obtained by range rule of thumb is greater than sample sd= 12.5 .

2. n 2 zo ME n Sample Size o standard deviation of population Zc Z-value from table for confidence level ME margin of error

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