Construct the 95% confidence interval for the weights of adults in the town of Metaluna. A simple random sample of 39 weights was collected in Metaluna yielded an average 155 pounds. Assume that weights of Adults in Metaluna are normally distributed with a population standard deviation of 13.2 pounds. Please interpret the result using a complete sentence.

Answered: Construct the 95% confidence interval…

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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Construct the 95% confidence interval for the weights of adults in the town of Metaluna. A simple random sample of 39 weights was collected in Metaluna yielded an average 155 pounds. Assume that weights of Adults in Metaluna are normally distributed with a population standard deviation of 13.2 pounds. Please interpret the result using a complete sentence.

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

Given information-

Sample size, n = 39

Sample mean, x-bar = 155 pounds

Sample standard deviation, σ = 13.2 pounds

Significance level, α = 0.05

Since here population standard deviation is known so we will use z-distribution.

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