Question 19A manufacture makes light-weight sneakers, and claim that the average weight of one sneaker is no bigger than 2 pounds. To verify this claim, a sample of 9 sneakers are weighed, and the sample mean is 2.4 pounds with the sample variance of 0.25 pounds^2. Assuming the weights of sneakers are normally distributed, we would like to test the claim of the manufacture at 10% level of significance. Please select the correct statement from below: O None of the other answersO The alternative hypothesis H1 is u > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is false.O The null hypothesis H0 is p > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is true.O The null hypothesis H0 is ps 2 pounds. Since p-value > 0.10, H0 is accepted and the manufacture's claim is true.O The null hypothesis H0 is p > 2 pounds. Since p-value > 0.10, HO is accepted and the manufacture's claim is true.

Answered: A manufacture makes light-weight…

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 19

A manufacture makes light-weight sneakers, and claim that the average weight of one sneaker is no bigger than 2 pounds. To verify this claim, a sample of 9 sneakers are weighed, and the sample mean is 2.4 pounds with the sample variance of 0.25 pounds^2. Assuming the weights of sneakers are normally distributed, we would like to test the claim of the manufacture at 10% level of significance.

Please select the correct statement from below:

O None of the other answers
O The alternative hypothesis H1 is u > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is false.
O The null hypothesis H0 is p > 2 pounds. Since p-value < 0.10, HO is rejected and the manufacture's claim is true.
O The null hypothesis H0 is ps 2 pounds. Since p-value > 0.10, H0 is accepted and the manufacture's claim is true.
O The null hypothesis H0 is p > 2 pounds. Since p-value > 0.10, HO is accepted and the manufacture's claim is true.

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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