10.001 I think Is correct and good luck!
Answer:


Step-by-step explanation:
From the question we are told that
Number of math tests n=15
standard deviation 1 
standard deviation 1 
Generally given the two tailed test the null hypothesis is given as

Generally given the two tailed test the null hypothesis is given as

Greetings!To find the
y-intercept, we can arrange the equation in
slope y-intercept form:
Rearrange:


The
y-intercept is:
-13 
To find the
x-intercept, we can input the value
<<0>> in the place of y, as every x-intercept only occurs when
y=0:
Solve for x:




The
x-intercept is:

I hope this helped!
-Benjamin
Answer:
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.
The standard deviation is the square root of the variance. So

Then

The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m
The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Answer:
8
Step-by-step explanation:
Recall these two equations for circumference and diameter.
Circumference = 2*pi*radius
Diameter = radius*2
25.12 = 2*pi*radius
Radius = 4
Diameter = 4*2 => 8
Thus the diameter is 8