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

See similar textbooks

Related questions

Question

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 4.3 pounds/square inch. The valve was tested on 26 engines and the mean pressure was 3.9 pounds/square inch with a standard deviation of 0.8 Is there evidence at the 0.1 level that the valve does not perform to the specifications? Assume the population distribution is approximately normal.

Step 1 of 5:

State the null and alternative hypotheses.

Step 2 of 5:

Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5:

Specify if the test is one-tailed or two-tailed.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Expert Solution

Step 1: Given information.

The population mean or hypothesized mean is $mu equals 4.3$
The sample size is $n equals 26$
The sample mean is $x with bar on top equals 3.9$
The sample standard deviation is $s equals 0.8$
The level of significance is $alpha equals 0.1$