Answer:
Step-by-step explanation:
Given
Required
Solve for w
In absolution functions;
So, the given expression can be rewritten as
Removing the absolute sign, will gibe
or
When the second inequality os rewritten, it gives
or
Reorder both inequalities
or
Lastly, both inequalities are combined
Answer:
B) At alpha = 0.01, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph.
Step-by-step explanation:
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 25.
We are using the t-distribution, with test statistic t = 1.25 and 43 - 1 = 42 degrees of freedom. This probability is a right-tailed test.
With the help of a calculator, this p-value is of 0.1091.
Since the p-value of the test is 0.1091 > 0.01, at there is insufficient evidence to conclude the true mean wind speed at the site exceeds 25 mph, and the correct answer is given by option B.