I hope this helps you
n=2/3-1/7
n=2.7/3.7-1.3/7.3
n=14/21-3/21
n=11/21
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given


--- Null hypothesis
---- Alternate hypothesis

Solving (a): The test statistic
This is calculated as:

So, we have:






Solving (b): The p value
This is calculated as:

So, we have:

Look up the z probability in the z score table. So, the expression becomes


Solving (c): With
, what is the conclusion based on the p value
We have:

In (b), we have:

By comparison:

i.e.

So, we fail to reject the null hypothesis.
I don’t listen to song. It’s HARAM. I’m Muslim. :))
Answer:
f(x, y) = Sin(x*y)
We want the second order taylor expansion around x = 0, y = 0.
This will be:

So let's find all the terms:
Remember that:


f(0,0) = sin(0*0) = 1.





Then we have that the taylor expansion of second order around x = 0 and y = 0 is:
sin(x,y) = x*y + x*y + x*y = 3*x*y
Answer:
84000000000000
Step-by-step explanation:
7000000 times 12000000
84000000000000