Answer:
Step-by-step explanation:
You can find your answer in attached document.
Answer:
The answer should be 3.3/4
Step-by-step explanation:
We are given the following data:
Sample Size = n = 1000
Sample Mean = u = 15 hours
Population Standard Deviation = s = 2 hours
Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.
Formula for the confidence interval is:

Using the values in the formula, we get:

Therefore, the 95% confidence interval about the population mean is 14.88 hours to 15.12 hours. So B option is the correct answer.
Mean, because the outliers are limited.
There will be nights when you get more sleep or less sleep than usual, but overall, they will not be far away from the rest of the data you're comparing.
Answer: Option C

Step-by-step explanation:
Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

If
then the graph of k(x) will be the graph of f(x) displaced vertically b units down.
If
then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.
In this case we have

We know that this function has its vertex in point (0,0).
Then, to move its vertex 7 units down we apply the transformation:
.
Then the function k(x) that will have its vertex 7 units below f(x) is
