Using the given endpoint R (8,0)and the midpoint M (4,-5) , the other endpoint S is (0,-10)
Explanation :
Use the given endpoint R and the midpoint M of segment RS
R (8, 0 ) and M (4, -5 )
Let 'S' be (x2,y2)
Apply the midpoint formula
Endpoint R is (x1,y1) that is (8,0)
Substitute the values and make it equal to M(4,-5)
So other endpoint S is (0,-10)
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Answer:
The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:
n=28
Step-by-step explanation:
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Assuming the X follows a normal distribution
And the distribution for is:
We know that the margin of error for a confidence interval is given by:
(1)
The next step would be find the value of ,
and
Using the normal standard table, excel or a calculator we see that:
If we solve for n from formula (1) we got:
And we have everything to replace into the formula:
And this value agrees with the sample size given.
For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:
And now we can replace the new value of Me and see what we got, like this:
And if we round up the answer we see that the value of n to ensure the margin of error required $ is n=28.
Answer:
Step-by-step explanation:
The following information is missing in the question:
We have to find z-score for the given score on this dental anxiety scale: 12, 6
We are given the following information in the question:
Mean, μ = 11
Standard Deviation, σ = 4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
where x is the given score on this dental anxiety scale.
For x = 12
For x = 6