# 3. The average weight of 80 randomly selected potatoe chip packages is 98.5gm. Historically the package...

3. The average weight of 80 randomly selected potatoe chip packages is 98.5gm. Historically the package weights have a standard deviation of 5.3gm. The manufacturer believes that the average package weight is 100gm. Assuming the CLT applies and = 100, calculate the probability of obtaining a sample mean less than 98.5gm

solution:

given

= 100

= 5.3

n = 80

To find P( < 98.5):

=p(-/ /<98.5-100/ 5.3/)

=p(z<-1.5/0.592558)

=p(z<-2.5313)

=1-p(z<2.5313)

=1-0.9943(from table)

=0.0057

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