is Question: 1 pt 44 of 14(0 This Test: 14 pts to fill one iter botties with wat

Question

is Question: 1 pt 44 of 14(0 This Test: 14 pts to fill one iter botties with water (see figure) Assume that the population of volumes is nomally distributed the mean volume ot water the machine is phng in te tomes within 1 milater Determine ne mrinum sample seo seoared to construct a 95% Enor tolerance e I m (a) T o nterval for the s 5 millliters (b) Repeat part (a) using an error tolerance of 3 miäiliters Which error tolerance requires a larger sample size? Explan minmum sample sae repared for an error tolerance of 1 matter is (a) The Round up to the nearest gor Round up to the nearest ineger b ensure the TOSHIBA

Explanation / Answer

a)
Compute Sample Size
n = (Z a/2 * S.D / ME ) ^2
Z/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )
Standard Deviation ( S.D) = 5
ME =1
n = ( 1.96*5/1) ^2
= (9.8/1 ) ^2
= 96.04 ~ 96   
b)
Compute Sample Size
n = (Z a/2 * S.D / ME ) ^2
Z/2 at 0.05% LOS is = 1.96 ( From Standard Normal Table )
Standard Deviation ( S.D) = 5
ME =3
n = ( 1.96*5/3) ^2
= (9.8/3 ) ^2
= 10.67 ~ 11   
The error tolerance of 1 requires a larger sample size
as the error size decreases a larger sample size must taken

*If your tolerance increases, the sample size decreases.

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