An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 100 engines and the mean pressure was 4.9lbs/square inch. Assume the standard deviation is known to be 0.7. If the valve was designed to produce a mean pressure of 4.7 lbs/square inch, is there sufficientevidence at the 0.02 level that the valve performs above the specifications?State the null and alternative hypotheses for the above scenario.

In hypothesis testing, we start by stating the null hypothesis (H0) and the alternative hypothesis…

Answered: An engineer has designed a valve that…

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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An almond milk distributor wants to determine whether the mean amount of almond milk contained in a 1 gallon bottle purchased from a store-brand competitor is actually 1 gallon. You know that the population standard deviation for almond milk gallons is .08. You select a random sample of 25 bottles with a mean amount of almond milk per 1 gallon as 0.976 gallon. Evaluate that there is evidence that the mean is different from 1 gallon, using an alpha level of 0.10.
A newly developed vaccine has been developed and the vaccine has to be kept very cold so it is effective. If the temperature of the stored vaccine vials raises above 40 degree Fahrenheit the vials can no longer be used. The freezer at the pharmacy of a small town is old and the temperature fluctuates following a normal distribution with mean μ and standard deviation 5. The pharmacist can set μ to a preferred temperature. If the pharmacist wants to guarantee that the vials are damaged with probability no higher than 0.02, what is the highest µ that she can set? Enter your answer to 2 decimal points. (Standard Normal Table)
An engineer has 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 7.5 pounds/square inch. The valve was tested on 7 engines and the mean pressure was 7.0 pounds/square inch with a standard deviation of 0.7. Is there evidence at the 0.025 level that the valve performs below the specifications? Assume the population distribution is approximately normal.
Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200 engines and the mean pressure was 4.4 lbs/square inch. Assume the standard deviation is known to be 0.9. If the valve was designed to produce a mean pressure of 4.5 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs below the specifications? State the null and alternative hypotheses for the above scenario.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 260 engines and the mean pressure was 4 lbs/square inch. Assume the variance is known to be 0.64. If the valve was designed to produce a mean pressure of 4.1 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200engines and the mean pressure was 5.4 pounds/square inch (psi). Assume the population standard deviation is 0.8 If the valve was designed to produce a mean pressure of 5.5psi, is there sufficient evidence at the 0.05 level that the valve does not perform to the specifications?
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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 140 engines and the mean pressure was 6.8 lbs/square inch. Assume the standard deviation is known to be 0.8. If the valve was designed to produce a mean pressure of 6.9 lbs/square inch, is there sufficient evidence at the 0.1 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.
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It takes an average of 14 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 43 injured patients to immediately tell the truth about the injury and noticed that they averaged 12.5 minutes for their blood to begin clotting after their injury. Their standard deviation was 3.1 minutes. What can be concluded at the the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the population mean is not significantly different from 14 at αα = 0.01, so there is statistically significant…
The valve pressure was tested on 250 engines and the mean pressure was 5.9 lbs/square inch. Assume the variance is known to be 0.36. If the valve was designed to produce a mean pressure of 5.8 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs about the specifications?

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