A juice shop owner wants to know the average amount of juice his staff puts into each glass. A sample of 50 glasses was found to have an average (mean) of 245 ml. If the known standard deviation of the amount of juice in each glass is 4 ml for the entire population, what is the margin of error of the sample mean?

a) 1.13 ml

b) 1.24 ml

c) 1.35 ml

d) 1.49 ml

Question

Austin

Mathematics

5 December, 15:20

A juice shop owner wants to know the average amount of juice his staff puts into each glass. A sample of 50 glasses was found to have an average (mean) of 245 ml. If the known standard deviation of the amount of juice in each glass is 4 ml for the entire population, what is the margin of error of the sample mean?

a) 1.13 ml

b) 1.24 ml

c) 1.35 ml

d) 1.49 ml

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Answers (1)

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Persy · Answer 1

So its A) 1.13 they should ask you for a margin of error that is within some sort of range if we wanted a margin of error of 2% ... etc. 02 = z (.5657) z = 2 / (56.57) or about. 04 but thats usually not what is asked. they usually want to know what size sample we should get to be say 95% confident that the margin of error is with 2%.02 = 1.96 (4/sqrt (n)) and we can solve for n