It is known that the mean diameters of rivetsproduced by two firms A and B are practicallythe same but the standard deviations may differ.For 22 rivets produced by firm A, the standarddeviation is 2.9 mm. while for 16 rivetsmanufactured by firm B, the standard deviationis 3-8 mm. Compute the statistic you would useto test whether the products of firm A have thesame variability as those of firm B and test itssignificance.

Given that For firm A Sample size=22 Standard deviation =2.9 For firm B Sample size =16 Standard…

Answered: It is known that the mean diameters of…

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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The scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 10. What test score is 0.6 standard deviations above the mean?
Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to 0.035 inch. The quality control department at the company takes a sample of 20 such rods every week, calculates the mean length of these rods, and tests the null hypothesis, μ = 36 inches, against the alternative hypothesis, μ ≠ 36 inches. If the null hypothesis is rejected, the machine is stopped and adjusted. A recent sample of 20 rods produced a mean length of 36.015 inches. Calculate the p-value for this test of hypothesis. Based on this p-value, will the quality control inspector decide to stop the machine and adjust it if he chooses the maximum probability of…
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