Question 3 Soft drink cans are led by an automated lin S g mactine and the stand

Question

Question 3 Soft drink cans are led by an automated lin S g mactine and the standard deviltion is 0.5 flaid auscr, Assume that the fil volumes of the cans are independent, normal randam variabl Round your answers to four deamal places (eo?99.7654) Part 1 What ia the standard deviation of the average Fil volume of 100 cans the absolute toierance n +1-0.0100 If the mesn fal volume 12.1 ounces, what in the probeblity thet the averege fill velame of the 100 cane is less than 32 Aud ouness? the absolute tolerance is +/0.0090

Explanation / Answer

Solution:

part 1:

stddev=s=sigma/sqrt(n)

=0.5/sqrt(100)

=0.5/10

=0.05

ANSWER:0.05

sOLUTION:

PART b

Mean=12.1

P(x bar<12)

Z=x-mean/sd

=12-12.1/0.05

=-2

P(Z<-2)

=1-P(Z<-2)

=1-0.9772(from standard normal tables)

=0.0228

ANSWER:0.0228

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