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 4.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 200 engines and the mean pressure was 4.6 pounds/square inch. Assume the standard deviation is known to be 0.6. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
This is the two tailed test .
The null and alternative hypothesis is
H0 : =
Ha :
Test statistic = z
= ( - ) / / n
= (4.6 - 4.5) / 0.6 / 200
Test statistic = 2.36
P(z > 2.36) = 1 - P(z < 2.36) = 0.0091
P-value = 0.0182
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