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Posted: February 23rd, 2021
Please help me with this hw q
Question description
Please help me with this hw question.Consider the following situation, and answer each of the following
multiple choice questions. In your write-up, just list the sub-question letter
(A-J) and your answer – no need to restate the question or to justify your answer.
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Situation: You have 400 data points, which are normally
distributed with a mean of 90 and a standard deviation of 10. All scores are
integers. Then one new data point is added, which is far above the top end of
the distribution. (Thus, the new data point has the very highest score in the
distribution, by a considerable margin.)
A. When the new data point is added, what
happens to the sample size (N)?
B. When the new data point is added, what
happens to the mean?
C. When the new data point is added, what
happens to the value of the mode?
D. When the new data point is added, what
happens to the number of modes in the distribution?
E. When the new data point is added, what
happens to the range of the distribution?
F. Assuming the standard deviation of the old
distribution was greater than 1, when the new data point is added, what happens
to the value of the variance of the new distribution?
G. When the new data point is added, what
happens to the value of the skewness of the distribution?
H. What happens to the value of the z score of the new mean calculated using the 401 data points, compared to the
value of the z score of the old mean calculated using the original
400 data points?
I. What happens to the number of scores that
are greater than 110?
J. What happens to the number of scores that
are greater than 170?
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