Suppose that a random sample of 50 bottles of a particular brand of cough medicine is selected and the alcohol content of each bottle is determined. Let denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the sample of 50 results in a 95% confidence interval for of (7.8, 9.4). a) Would a 90% confidence interval have been narrower or wider than the given interval? b) If the sample size was increased to 100, would the confidence interval be narrower or wider than the given interval? c) Explain what we mean by the “We are 95% confident” part of the interpretation.
Suppose that a random sample of 50 bottles of a particular brand of cough medicine is selected and the alcohol content of each bottle is determined. Let denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the sample of 50 results in a 95% confidence interval for of (7.8, 9.4). a) Would a 90% confidence interval have been narrower or wider than the given interval? b) If the sample size was increased to 100, would the confidence interval be narrower or wider than the given interval? c) Explain what we mean by the “We are 95% confident” part of the interpretation.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Suppose that a random sample of 50 bottles of a particular brand of cough medicine is selected and the alcohol content of each bottle is determined. Let denote the average alcohol content for the population of all bottles of the brand under study. Suppose that the sample of 50 results in a 95% confidence interval for of (7.8, 9.4).
a) Would a 90% confidence interval have been narrower or wider than the given interval?
b) If the
c) Explain what we mean by the “We are 95% confident” part of the interpretation.
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