A random sample of 100 packs of apples with a professed weight of 1kg was found to have mear 1020g and standard deviation 12g. a) Find a 95% confidence interval for the mean weight of all such packs of apples. b) Does the interval include 1kg? Can you think of a reason (which any retailer would be able- to tell you) why you might expect the interval not to include 1kg? c) What confidence level would have resulted in the interval just about including 1kg?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A random sample of 100 packs of apples with a professed weight of 1kg was found to have mean
1020g and standard deviation 12g.
a) Find a 95% confidence interval for the mean weight of all such packs of apples.
b) Does the interval include 1kg? Can you think of a reason (which any retailer would be able
to tell you) why you might expect the interval not to include 1kg?
c) What confidence level would have resulted in the interval just about including 1kg?
Transcribed Image Text:A random sample of 100 packs of apples with a professed weight of 1kg was found to have mean 1020g and standard deviation 12g. a) Find a 95% confidence interval for the mean weight of all such packs of apples. b) Does the interval include 1kg? Can you think of a reason (which any retailer would be able to tell you) why you might expect the interval not to include 1kg? c) What confidence level would have resulted in the interval just about including 1kg?
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