A soda machine dispenses normally distributed amounts of soda with a mean of 20 ounces and a standard deviation of 0.2 ounce. Are you more likely to randomly select one bottle with an amount more than 20.3 ounces or are you more likely to select a sample of eight bottles with a mean amount more than 20.3 ounces? Explain.
Solution :
Given ,
mean = = 20
standard deviation = = 0.2
P(x >20.3 ) = 1 - P(x<20.3 )
= 1 - P[(x -) / < (20.3-20) / 0.2]
= 1 - P(z <1.5 )
Using z table
= 1 - 0.9332
= 0.0668
probability= 0.0668
are you more likely to select a sample of eight bottles with a mean amount more than 20.3 ounces AREA 0.0668
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