An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 270270 engines and the mean pressure was 5.65.6 pounds/square inch (psi). Assume the population standard deviation is 0.80.8. The engineer designed the valve such that it would produce a mean pressure of 5.55.5 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.020.02 will be used. Find the P-value of the test statistic. Round your answer to four decimal places. What I Know: Ho: u=5.5 Ha: u not equal to 5.5 xbar: 5.6 n: 270 pop. stand. dev: .8 alpha: 0.02 a/2: 0.01

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 270270 engines and the mean pressure was 5.65.6 pounds/square inch (psi). Assume the population standard deviation is 0.80.8. The engineer designed the valve such that it would produce a mean pressure of 5.55.5 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.020.02 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.

What I Know:

Ho: u=5.5

Ha: u not equal to 5.5

xbar: 5.6

n: 270

pop. stand. dev: .8

alpha: 0.02

a/2: 0.01

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