Answered: You randomly selected 8 popular fast…

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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Question

You randomly selected 8 popular fast food restaurant and measure the calories are there in 3 ounces of French fries. The data(in calories) are 222, 255, 254, 230, 249, 222, 237, 287 If the sample standard deviation equals 21 calories a) find the sample mean calories b) create a 99% confidence interval for the population mean calorie. Assume the French fries calories from fast food restaurant are approximately normally distributed

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.

Expert Solution

Step 1

(a)

Obtain the value of the sample mean calories.

The value of the sample mean calories is obtained below as follows:

Use EXCEL Procedure for finding the value of sample mean.

Follow the instruction to obtain the value of sample mean

Open EXCEL
Go to Formula bar.
In formula bar enter the function as“=AVERAGE”
Enter the range as $A$1:$A$9.
Click enter.

EXCEL output:

From the EXCEL output, the value of the sample mean is 244.5

The value of the sample mean calories is 244.5.

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