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Name: Based on a random sample or 25 units or product X, the average weight
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Based on a random sample or 25 units or product X, the average weight is 105.2 lb and the sample standard deviation is 10.08 lb. we would like to decide if there is enough evidence to establish that the average weight for the population of product X

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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Based on a random sample or 25 units or product X, the average weight is 105.2 lb and the sample standard deviation is 10.08 lb. we would like to decide if there is enough evidence to establish that the average weight for the population of product X is greater than 100 lb. assume the population is normally distributed, using the p-value method in the steps below, test the researchers claim at 1% significance level.
a. State the null and alternative hypothesis for this test

b. Calculate the statistic

c. Find the p-value

d. Based on your calculations, do you reject or fail to reject?
e. Is there enough evidence to conclude the average weight of the population of product C is greater than 100 lb?

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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