You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures.66.465.369.974.371.769.158.966.164.265.469.3Find the 90% confidence interval. Enter your answer as an open-inerval (parentheses) accurate to wo deciaml places (because the sample data are reported accurate to one decimal place).

The sample mean is calculated as follows: x¯=1n∑xi =11166.4+65.3+...+69.3 =67.3273 The standard…

Answered: You must estimate the mean temperature…

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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You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures.

66.4
65.3
69.9
74.3
71.7
69.1
58.9
66.1
64.2
65.4
69.3

Find the 90% confidence interval. Enter your answer as an open-inerval (parentheses) accurate to wo deciaml places (because the sample data are reported accurate to one decimal place).

Expert Solution

Step 1

The sample mean is calculated as follows:

$\begin{array}{l} \bar{x} = \frac{1}{n} \sum x_{i} \\ = \frac{1}{11} (66.4 + 65.3 + . . . + 69.3) \\ = 67.3273 \end{array}$

The standard deviation is calculated as follows:

$\begin{array}{l} s = \sqrt{\frac{1}{n - 1} \sum {(x_{i} - \bar{x})}^{2}} \\ = \sqrt{\frac{1}{11 - 1} ({(66.4 - 67.3273)}^{2} + . . . + {(69.3 - 67.3273)}^{2})} \\ = 4.1519 \end{array}$

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