Question
Given that the mean contents of bags of salt labelled as containing 1 kg is 1003 g and that the standard deviation of their contents
Given that the mean contents of bags of salt labelled as containing 1 kg is 1003 g and that the standard deviation of their contents is 2 g.
Suppose a random sample of 5 bags is taken.
(a) What is the expected value of the total contents of a sample of 5 bags?
(b) What is the standard deviation of the total contents of a sample of 5 bags?
(c) What is the expected value of the mean contents of a sample of 5 bags?
(d) What is the variance of the mean contents of a sample of 5 bags?
(e) Assuming that the contents of the bags of salts are normally distributed. What is the probability that the mean contents of a sample of 5 bags will be less than 1 kg?
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Business Statistics A Decision Making Approach
Authors: David F. Groebner, Patrick W. Shannon, Phillip C. Fry
9th Edition
013302184X, 978-0133021844
