(a) Find the sample mean and the sample standard deviation. (b) Construct and interpret a 91.85% and 98.15% confidence interval for the population mean by using the following equations: B1. and By = x +t IN. sample N sample (c) Which confidence interval is wider and why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Methyl t-butyl ether (MTBE) is an organic water contaminant that often results from
gasoline spills. The level of MTBE (in parts per billion) was measured for a sample of 12
well sites located near the ship channel during a recent spilI. The data are: 150, 376, 38,
12, 11, 134, 12, 251, 63, 8, 13, 107.
(a) Find the sample mean and the sample standard deviation.
(b) Construct and interpret a 91.85% and 98.15% confidence interval for the population
mean by using the following equations: B, = x – t -
- and By = x +t
N sample
N sample
(c) Which confidence interval is wider and why?
Transcribed Image Text:Methyl t-butyl ether (MTBE) is an organic water contaminant that often results from gasoline spills. The level of MTBE (in parts per billion) was measured for a sample of 12 well sites located near the ship channel during a recent spilI. The data are: 150, 376, 38, 12, 11, 134, 12, 251, 63, 8, 13, 107. (a) Find the sample mean and the sample standard deviation. (b) Construct and interpret a 91.85% and 98.15% confidence interval for the population mean by using the following equations: B, = x – t - - and By = x +t N sample N sample (c) Which confidence interval is wider and why?
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