**Methyl t-butyl ether (MTBE) Contamination Analysis**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 spill. 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:- Lower Bound: $B_L = \bar{x} - t \frac{s}{\sqrt{N_{\text{sample}}}}$- Upper Bound: $B_U = \bar{x} + t \frac{s}{\sqrt{N_{\text{sample}}}}$(c) **Which confidence interval is wider and why?**---Note: The data provided will require statistical analysis to calculate the sample mean, standard deviation, and to determine the confidence intervals. The confidence interval with a higher confidence level (98.15%) is typically wider than that with a lower confidence level (91.85%) because it reflects greater certainty about containing the true population mean.

Answered: (a) Find the sample mean and the sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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(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?