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Statistics
101
Centrality,
Spreads, Normality, and Chebyshev's Rule
Hints
and Histogram for Problem
2
Problem 2.
Below is a table of weekly visitation to a web page.
Weekly Visitation of a Web Page 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
3/19/2006-3/25/2006Visitation
116
119
110
89
116
107
112
85
136
121
116
129For 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 visitation,
(f) Verify that the percentages of the population with z-scores within the intervals (-1.5,1.5) and (-2,2) conform to Chebyshev's Rule,
(g) Construct a Stem-and-Leaf Display for the visitation data, and
(h) Construct, using Minitab, a frequency histogram with:
(i) intervals 10-visitations wide, over the domain 80-to-140,
(ii) first value in Minitab's lower interval-definition box to be left endpoint of first interval (here, tick marks and values at the endpoints of each interval),
(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 2: Centrality, Spreads, Normality, and Chebyshev's Rule
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