Find the mean absolute deviation for the data set. {3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6}
1 answer:
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Answer:
So the answer for this case would be n=16 rounded up to the nearest integer
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
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".
represent the sample mean for the sample
population mean (variable of interest)
represent the sample standard deviation
n represent the sample size
ME=5 represent the margin of error
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
The margin of error is given by this formula:
(2)
And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:
(3)
The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got , replacing into formula (3) we got:
So the answer for this case would be n=16 rounded up to the nearest integer
Answer:
Step-by-step explanation:
Scalene triangle are the triangle with no side are equal in length also each angle have different measure.
As given there are two scalene triangle, which are similar.
∴ Side of both the triangle will be propotionally equal.
Scale is given for both the triangle, which is 5:2.
We know, scale factor= ratio of the side.
Looking the option provided, we see
As the sides of both the triangle is propotionally equal
Hence, .