Question

A health organization is responding to the high demand of masks as a result of COVID-19 outbreak by operating a workshop to produce simple surgery masks. The daily production average and standard deviation were respectively calculated as 1,807 and 786 masks based on the last 15-days records. What is the lower limit of a 90% two sided confidence interval constructed to estimate the mean value of the daily production capacity in that workshop?

Answer 1

=1807

=S

S= 786

n=15

=0.1

t14

= 786 / = 202.944

90% two sided confidence interval is

[ - t/2=0.05,14 * , + t/2=0.05,14 * ]

=[ 1807 - 1.761 * 202.944 , 1807 + 1.761 * 202.944]

= [ 1449.616 , 2164.384]

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