Answer:

Step-by-step explanation:
We are given that

Differentiate w.r.t x

By using formula







Hence, the derivative of function

Answer:
Mean: 16.75
Median: 15.5
Mode: 13
Range: 16
Minimum: 9
Maximum: 25
Count n: 16
Sum: 268
Step-by-step explanation:
hope this helps!
Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:
