The value of the second derivative for
is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of
is always positive for
. That means at
there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval
.
The function
is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
Answer:
The 99% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean is
The standard deviation is
Given that confidence is 99% then the level of significance is mathematically represented as
Next we obtain the critical values of from the normal distribution table
The value is
Generally the margin for error is mathematically represented as
=>
=>
The 99% confidence interval is mathematically represented as
=>
=>
The T-axis should go up to 60 and the m-axis should go up to 12.