1. A successful basketball player has a height of 6 feet 7inches or 201cm. Based
ID: 3368521 • Letter: 1
Question
1. A successful basketball player has a height of 6 feet 7inches or 201cm. Based on statistics from a data set, his height converts to the z score of
3.743.74.
How many standard deviations is his height above the mean?
2. If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus? 2.00, minus? 1.00, 0, 1.00, 2.00? Why?
A.
The z score of 0 is most preferable because it corresponds to a test score equal to the mean.
B.
The z score of
minus?2.00
is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores.
C.
The z score of
minus?1.00
is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average test score.
D.
The z score of 1.00 is most preferable because it is 1.00 standard deviation above the mean and would correspond to an above average test score.
E.
The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores
3. Waiting times (in minutes) of customers at a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the coefficient of variation for each of the two sets of data, then compare the variation.
Bank A (Line 1) Bank B (Line 2)
6.5 4.1
6.5 5.5
6.8 5.8
6.9 6.2
7.1 6.7
7.3 7.6
7.5 7.6
7.7 8.5
7.8 9.3
7.8 9.7
The coefficient of variation for the waiting times at Bank A is what %.
(Round to one decimal place as needed.)
The coefficient of variation for the waiting times at the Bank B is
what %.
(Round to one decimal place as needed.)
Is there a difference in variation between the two datasets?
4.
Explanation / Answer
1) 3.74 standard deviations is his height above the mean
2) The z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.