Answered: A restaurant knows that the weights of…

Name: A restaurant knows that the weights of its quarter-pound hamburgers (b
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A restaurant knows that the weights of its quarter-pound hamburgers (before cooking) are normally distributed with mean μ pounds and standard deviation σ = 0.02 pounds. The manager wants to infer about the population mean weight μ. To this end, he

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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A restaurant knows that the weights of its quarter-pound hamburgers (before cooking) are normally distributed with mean μ pounds and standard deviation σ = 0.02 pounds. The manager wants to infer about the population mean weight μ. To this end, he randomly selected 64 hamburgers and found the sample mean weight was x̅ = 0.242 pounds. find a 90% confidence interval for μ.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Step 1

The provided data is,

$\begin{array}{rcl} \bar{x} & = & 0.242 \\ n & = & 64 \\ σ & = & 0.02 \end{array}$

The confidence level is mentioned as 0.90, that is, the level of significance = 1 - confidence level = 1 - 0.90 = 0.10.

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