Insert 5 arithmetic means between -1 and 11
1 answer:
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Answer:
a
The population parameter of interest is the true proportion of Greek who are suffering
While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%
b
The condition is met
c
The 95% confidence interval is
d
If the confidence level is increased which will in turn reduce the level of significance but increase the critical value() and this will increase the margin of error( deduced from the formula for margin of error i.e
) which will make the confidence interval wider
e
Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower
Step-by-step explanation:
From the question we are told that
The sample size is n = 1000
The population proportion is
Considering question a
The population parameter of interest is the true proportion of Greek who are suffering
While the point estimate of this parameter is proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%
Considering question b
The condition for constructing a confidence interval is
So
Hence the condition is met
Considering question c
Given that the confidence level is 95% then the level of significance is mathematically evaluated as
Next we obtain the critical value of from the normal distribution table, the value is
Generally the margin of error is mathematically represented as
substituting values
The 95% confidence interval is mathematically represented as
substituting values
substituting values
considering d
If the confidence level is increased which will in turn reduce the level of significance but increase the critical value() and this will increase the margin of error( deduced from the formula for margin of error i.e
) which will make the confidence interval wider
considering e
Looking at the formula for margin of error if the we see that if the sample size is increased the margin of error will reduce making the confidence level narrower
Remark
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.
You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation.
Step One
Set up the Ratio for the volumes.
Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3
Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.
You are left with 1/8 = (r1)^3/ (r2)^3
Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2
Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2
Step Five
Answer
Answer <<<<<<<
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.
You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation.
Step One
Set up the Ratio for the volumes.
Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3
Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.
You are left with 1/8 = (r1)^3/ (r2)^3
Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2
Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2
Step Five
Answer