Statistics: Determining the Confidence Interval
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Scenario: A random sample of 10 miniature Tootsie Rolls were taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were as follows:
3.087, 3.131, 3.241, 3.41, 3.70, 3.353, 3.400, 3.411, 3.437, 3.477
Questions:
a) Construct a 90% confidence interval for the true mean weight.
b) What sample size would be necessary to estimate the true weight with an error +/- 0.03 grams with 90% confidence?
c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacturing.
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Solution Summary
This solution is comprised of a neat, step-wise response which includes all calculations required for solving each part of this statistics-based problem. A Word file is also attached and contains descriptive statistics, such as skewness for example.
Solution Preview
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(a) The sample u = 3.3048 and the sample sigma = 0.132.
The 90% CI for the population true mean ...
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