**Title: Hypothesis Testing for Bag Filling Machine Accuracy****Context:**A potato chip manufacturer wants to verify if its bag filling machine is accurate for a set weight of 420 grams. Concerns exist that the machine might be underfilling the bags. Data from a sample of 45 bags show an average weight of 411 grams. The population variance is known to be 676. The significance level is set at 0.02.**Hypotheses:**- **Null Hypothesis (H₀):** μ ≥ 420- **Alternative Hypothesis (Hₐ):** μ < 420**Explanation:**The null hypothesis states that the average weight of the bags is greater than or equal to 420 grams, indicating the machine is filling correctly. The alternative hypothesis suggests that the average weight is less than 420 grams, implying underfilling. The significance level of 0.02 indicates a 2% risk of rejecting the null hypothesis if it is actually true.

Given, Sample size = 45 Sample mean = 411 Population standard deviation = 676 The objective is…

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is believed that the machine is underfilling the bags. A 45 bag sample had a mean of 411 grams. Assume the population variance is known to be 676. A level of significance of 0.02 will be used. State the null and alternative hypotheses.

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is believed that the machine is underfilling the bags. A 45 bag sample had a mean of 411 grams. Assume the population variance is known to be 676. A level of significance of 0.02 will be used. State the null and alternative hypotheses.

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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