Answer:
Because the
The integral converges to
Step-by-step explanation:
For this case we want to find the following integral:
And we can solve the integral on this way:
And if we evaluate the integral using the fundamental theorem of calculus we got:
Because the
The integral converges to
Answer:
Step-by-step explanation:
information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value for the test
Hypothesis to test
We want to test if the true mean is less than 12, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
We can replace in formula (1) the info given like this: