The piston diameter of a certain hand pump is 0.7 inch. The managerdetermines that the diameters are normally distributed, with a mean of 0.7inch and a standard deviation of 0.003 inch. After recalibrating theproduction machine, the manager randomly selects 25 pistons anddetermines that the standard deviation is 0.0026 inch. Is there significantevidence for the manager to conclude that the standard deviation hasdecreased at the a=0.10 level of significance?HV.UVJ.HIC Hul Hypolitsis 15 10.The alternative hypothesis is H₁:Calculate the value of the test statistic.=0.003.<018.03 (Round to two decimal places as needed.)Use technology to determine the P-value for the test statistic.The P-value is(Round to three decimal places as needed.)

From the provided information, Sample size (n) = 25 Sample standard deviation (s) = 0.0026 Level of…

Answered: The piston diameter of a certain hand…

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 piston diameter of a certain hand pump is 3 inch. The manager determines that the diameters are normally distributed, with a mean of 0.3 inch and a standard deviation of 0.003 inch. After recalibrating the production machine, the manager randomly selects 24 pistons and determines that the standard deviation is 0.0027 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.10 level of significance? The Hypotheses Test Ho:0 = 0.003 H1:0 0.003 ( Choose one the following: a for =, b for >, c for <, d for +) Test statistic X2 = (Round to two decimal places.) P value = (Round to three decimal places.) Conclusion: (Choose: R for Reject or F for Fail to reject)
The piston diameter of a certain hand pump is 3 inch. The manager determines that the diameters are normally distributed, with a mean of 0.3 inch and a standard deviation of 0.003 inch. After recalibrating the production machine, the manager randomly selects 24 pistons and determines that the standard deviation is 0.0027 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a=0.10 level of significance? The Hypotheses Test Ho:o = 0.003 H1:0 0.003 ( Choose one the following: a for =, b for >, c for <, d for ) Test statistic X2 (Round to two decimal places.) P value = (Round to three decimal places.) Conclusion: (Choose: R for Reject or F for Fail to reject)
Let's assume that the distribution of gas on a given day in a town is normally distributed with mean of $4.3371 with a standard deviation of $0.4192. What proportion of gas stations are charging less than $3.4387? 98.3949% 0.8026% 1.6051% 3.2103% O 0%
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 84 and a standard deviation of 6. The professor has informed us that 10 percent of his students received A's while only 2.5 percent of his students failed the course and received F's. a. To the nearest tenth, what is the minimum score needed to make an A? b. To the nearest tenth, what is the maximum score among those who received an F? c. If there were 4 students who did not pass the course, how many students took the course?
Based on a recent study, the pH level of the arterial cord (one vessel in the umbilical cord) is normally distributed with mean 7.27and standard deviation of 0.11. Find the percentage of preterm infants who have the following arterial cord pH levels. a. pH levels between 7.00 and 7.50. b. pH levels over 7.35. a. The percentage of arterial cord pH levels that are between 7.00and 7.50 is __________%. (Round to two decimal places as needed.) b. The percentage of arterial cord pH levels that are over 7.35 is _______%. (Round to two decimal places as needed.)
A supplier is selling lumber to a building supply company. The building supply company requires that the overall length of a particular type of board measure between 95.9 and 96.1 inches. Before sending its next shipment, the supplier collects a large sample of boards and determines the mean length of the sample is 96.03 inches, with a standard deviation of 0.029 inches. What is the process capability index of the current process? Two decimal places.
The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to
The population mean of a company's racing bicycles is 9.07 kg (20.0 1b) with a population standard deviation of 0.40 kg. If the distribution is approximately normal, determine (a) the percentage of bicycles less than 8.30 kg, (b) the percentage of bicycles greater than 10.00 kg, and (c) the percentage of bicycles between 8.00 and 10.10 kg.
Find Test Statistic, P value, and Z score.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 7.8 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 8.0 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.3 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 4.7 pounds/square inch with a standard deviation of 0.8. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.

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