SOLUTION: (Give your answers correct to TWO (2) decimal places) In a butter cookies packing plant, the weight (in grams) of a pack of butter cookies packed is normally distributed. A rand

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Question 1175519: (Give your answers correct to TWO (2) decimal places)
In a butter cookies packing plant, the weight (in grams) of a pack of butter cookies packed is normally distributed. A random sample of 10 packs was drawn from the plant, and their weights were measured with the following results.
19.5 19.7 20.2 19.7 20.0
19.5 20.2 19.6 20.0 19.9
(a) Calculate the unbiased estimate for the population mean µ and the population standard deviation σ of the weight (in grams) of all butter cookies packed in the plant.
Answer: the unbiased estimate for µ is ____ grams,and the unbiased estimate for σ is ____ grams.

(b) Find the 99% confidence interval for the population mean weight of butter cookies packed in the plant.
Answer: the 99% confidence interval for the population mean weight of butter cookies packed in the plant is from ____ grams to ____grams.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

a) mean = 19.83 and  s = .267

99% confidence Interval
ME =+z%2Asigma%2Fsqrt%28n%29
ME = 2.576(.267)/√10) =  .22

CI = 19.83 ± .22
from  19.61gm  to 20.05gm 

Wish You the Best in your Studies.