Answered: Assume that a sample is used to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that a sample is used to estimate a population mean. Find the 90% confidence interval for a smaple of size 46 with a mean of 68.5 and a standard deviation of 6.6. Enter the answer as an open-interval (parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

Expert Solution

Step 1

The summary of statistics is,

$\bar{x} = 68.5, s = 6.6, n = 46$

The degree of freedom is,

$d f = n - 1 = 46 - 1 = 45$

Critical values: The t-critical values for a two-tailed test, for a significance level of α=0.10 are,

$t_{0.10 / 2} = \pm 1.679$

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