An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 210 engines and the mean pressure was 5.0 pounds/square inch (psi). Assume the population standard deviation is 0.9. The engineer designed the valve such that it would produce a mean pressure of 4.9 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.02 will be used. Find the value of the test statistic.

Respuesta :

Answer:

The test statistics is [tex]t = 1.610[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  210  

     The  sample  mean is  [tex]\= x = 5.0 \ pounds /square \ inch[/tex]

       The  standard deviation is  [tex]\sigma = 0.9 \[/tex]

       The  population   mean is  [tex]\mu = 4.9 \ psi[/tex]

Generally the test statistics is mathematically evaluated as

             [tex]t = \frac{\= x - \mu}{ \frac{\sigma }{ \sqrt{n} } }[/tex]

     =>    [tex]t = \frac{5 - 4.9}{ \frac{ 0.9 }{ \sqrt{ 210 } } }[/tex]

=>        [tex]t = 1.610[/tex]