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Problem 4.

Below is a table of weekly referrals from a forum to a website. The referral pattern is quite typical for many forums.

Weekly Referrals from a Forum to a Website for the first 12 weeks of 2006
Week
1/01/2006-1/07/2006
1/08/2006-1/14/2006
1/15/2006-1/21/2006
1/22/2006-1/28/2006
1/29/2006-2/04/2006
2/05/2006-2/11/2006
2/12/2006-2/18/2006
2/19/2006-2/25/2006
2/26/2006-3/04/2006
3/05/2006-3/11/2006
3/12/2006-3/18/2006
3/19/2006-3/25/2006
Referrals
271
2
1
1
0
0
5
15
12
1
4
1

For the above population data:

(a) Compute the mean,
(b) Determine the median,
(c) Compute the variance,
(d) Compute the standard deviation,
(e) Compute the corresponding z-score for each weekly referral total,
(f) Verify that for the z-score intervals (-1.5,1.5), (-2,2), and (-3,3) the data set conforms to Chebyshev's Rule,
(g) Construct a Stem-and-Leaf Display for the referral data, and
(h) Construct, using Minitab, a frequency histogram with:

(i) intervals 10-referrals wide,
(ii) first value in Minitab's lower interval-definition box to be midpoint of first interval and first midpoint to be 0 and last midpoint to be 270,
(iii) mean and median marked by vertical lines, and
(iv) z-scores below each x-axis value and the mean.

Hints and Histogram for Problem 4: Centrality, Spreads, Normality, and Chebyshev's Rule


 

 

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