Please help will mark brainliest
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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.
let's firstly convert the decimal to a fraction, namely a rational.
so we have one decimal, thus let's use 1 zero at the denominator and lose the dot on the numerator.
so then, what rationals are between -8/5 and +8/5? well, a huge amount hmmm let's pick two.