Answer:
z = -0.139
The data provide evidence that this particular meets the government regulation
Step-by-step explanation:
To determine if the the data provide evidence that this particular meets the government regulation, we need to define a null and alternative hypothesis as:
H0: m = 0.3
H1: m > 0.3
where m is the population mean NOX emission.
Then, we need to find the appropriate statistic. So, taking into account that the model follows a Normal distribution with standard deviation equal to 0.05, the statistic is equal to:
where x is the mean of the sample, m is 0.3 g/mi, s is the population standard deviation and n is the size of the sample.
Therefore, replacing x by 0.298, m by 0.3, s by 0.05 and n by 12, we get that the test statistic is:
Finally, we need to find the p-value using the normal distribution table as:
p-value = P(z > -0.139 ) = 0.4443
So, taking into account that the p-value is big value, we can conclude that we don't reject H0. It means that the data provide evidence that this particular meets the government regulation.