Help ME WITH THIS QUESTION THANKS !
1 answer:
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Answer:
a
The null hypothesis is
The alternative hypothesis is
b
c
d
The decision rule is
Reject the null hypothesis
e
There is sufficient evidence to support the researchers claim
Step-by-step explanation:
From the question we are told that
The first sample size is
The sample variance for elementary school is
The second sample size is
The sample variance for the secondary school is
The significance level is
The null hypothesis is
The alternative hypothesis is
Generally from the F statistics table the critical value of at first and second degree of freedom
and
is
Generally the test statistics is mathematically represented as
=>
=>
Generally from the value obtained we see that Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to support the researchers claim
Answer:
We would have
where " l " is length, " w" is width and "h" is height.
Step-by-step explanation:
Step 1
Remember that
Surface area for a box with no top =
where " l " is length, " w" is width and "h" is height.
Step 2.
Remember as well that
Volume of the box =
Step 3
We can now use lagrange multipliers. Lets say,
and
By the lagrange multipliers method we know that
Step 4
Remember that
and
So basically you will have the system of equations
Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get
Then you would get
You can get rid of from these equations and you would get
And from those equations you would get
Now remember the original equation
If we plug in what we just got, we would have