4. (24 pts) Consider the following situation, and answer each of the following m

Question

4. (24 pts) Consider the following situation, and answer each of the following multiple-choice questions. Type your answer next to each question in the blank. Possible answers are: A = it increases; B-it decreases; C-it stays the same; D-there is not enough information to say for sure. There is no need to restate the question or to justify your answer Situation: You have 500 data points, which are normally distributed with a mean of 400 and a standard deviation of 50 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 sizc (N)? B. When the new data point is added, what happens to the value of 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. 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 501 data points, compared to the value of the z score of the old mean calculated using the original 500 data points? I. What happens to the number of scores that are lower than 400? J. What happens to the number of scores that are higher than 400? K. What happens to the number of scores that are higher than 500? L. What happens to the number of scores that are higher than 700?

Explanation / Answer

A) option A

sample size increases by 1, since a new data point is being added

B) option A is right

the new data point is an outlier

hence the mean increases

C) Option C is right

The mode of a set of data values is the value that appears most often.

D)

Option C is right

The mode of a set of data values is the value that appears most often.

E) option A is right

As the range will be now the new data point - the smallest point in the data set

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.