A study is being designed to estimate the mean time required

A study is being designed to estimate the mean time required to assemble a panel of microprocessor chips for use in color television sets. An estimate of this mean is needed in order to set reasonable quotas for assembly line workers. A small pilot study is conducted, and these data are obtained on the assembly time in minutes:

1.0 1.5 2.2 3.0 2.7

2.0 2.4 2.6 2.3 1.7

Solution

a)
Sample standard deviation = 0.604
b)
Compute Sample Size
n = (Z a/2 * S.D / ME ) ^2
Z/2 at 0.01% LOS is = 2.58 ( From Standard Normal Table )
Standard Deviation ( S.D) = 0.604
ME =0.2
n = ( 2.58*0.604/0.2) ^2
= (1.558/0.2 ) ^2
= 60.709 ~ 61