is normally distributed with 12. The amount of coffee that a filling machine put

Question

is normally distributed with 12. The amount of coffee that a filling machine puts into an 8-ounze j percentage of samples of mean of 8.2 0.18 ounce. Determin a mean of &.2 and standard deviation of 0.18 ounce. Determine the size 16 that will have mean amount of coffee within 0.1 ounce ounces. (sample standard deviation is ?/jm ) of the population 13. The mean and the standard deviation of a sampled population are, respectively, 110 and 22.5 where the sample size if 49, Estimate the population standard deviation ?. 14. A) Find P(Zs0.47). B) Find the 47th percentile of the standard normal distribution. Round your answer to three decimal places Page 4

Explanation / Answer

P( -0.1/(0.18/sqrt(16) < Z< 0.1/(0.18/sqrt(16)) = P(-2.22< Z < 2.22)

=P(Z<2.22)-P(Z<-2.22)

=0.98679-0.01320

=0.97358 =97.4%

Percentage of samples of size 16 that will have mean amounts of coffee within 0.1 ounce  97.4 %

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