MAT 200 Applied Probability and Statistics
Analysis Project (Fall 2014)
Part I: Descriptive Statistics with Graphs (40 Points) Moore Travel Agency, a nationwide travel agency, offers special rates on certain Caribbean cruises to senior citizens. The president of Moore Travel wants additional information on the ages of those people taking cruises. A random sample of customers taking a cruise last year revealed these ages.
67 
74 
82 
77 
50 
45 
62 
71 
67 
57 
56 
58 
53 
66 
88 
56 
54 
76 
66 
61 
83 
67 
78 
63 
63 
72 
67 
62 
67 
68 
65 
77 
88 
83 
62 
63 
72 
79 
66 
55 
50 
58 
79 
84 
61 
53 
52 
47 
74 
75 
69 
57 
64 
58 
53 
70 
59 
69 
87 
88 
67 
62 
54 
68 
71 
86 
64 
58 
53 
63 
Use the 2^{k} > n rule to prepare a Frequency Distribution of the above data set and then construct a FrequencyHistogram, Frequency Polygon and FrequencyOgive. Then construct a RelativeFrequencyHistogram, RelativeFrequency Polygon and RelativeFrequencyOgive.
Part II: Measures of Central Tendency and Spread from Raw Data (75 Points) Use the Moore Travel Agency data set in Part I to compute the following statistics using Microsoft Excel, a Graphing Calculator, or an Online Statistics Calculator.
Calculate:
Mean
Median
Mode
Maximum Value
Minimum Value
Range
Midrange
First Quartile
Third Quartile
Interquartile Range
70^{th} Percentile
30^{th} Percentile
Variance
Standard Deviation
Coefficient of Variation
Part III: Measures of Central Tendency and Spread from Grouped Data (75 Points) Recompute the above statistics from the Grouped Data in your Frequency Distribution in Part I.
Part IV: Hypothesis Test (20 Points) Run a Hypothesis Test on the Means of the Raw Data and the Grouped Data at the alpha = .05 level of significance to determine whether or not there is a significant difference between them.
Part V: Linear Regression and Correlation (30 Points)
Wildlife populations are monitored with aerial photographs. The number of animals and their locations relative to areas inhabited by the human population are useful information. Sometimes it is possible to monitor the physical characteristics of animals. The length of an alligator can be estimated quite accurately from aerial photographs, but its weight cannot. The following data are the lengths, x (in inches), and weights, y (in pounds), of alligators captured in central Florida and can be used to predict the weight of an alligator based on its length. (HINT: Use Microsoft Excel)
Weight 
Length 
Weight 
Length 
Weight 
Length 
130 
94 
38 
72 
44 
61 
51 
74 
366 
128 
106 
90 
640 
147 
84 
85 
84 
89 
28 
58 
80 
82 
39 
68 
80 
86 
83 
86 
42 
76 
110 
94 
70 
88 
197 
114 
33 
63 
61 
72 
102 
90 
90 
86 
54 
74 
57 
78 
36 
69 




Construct a scatter diagram for length, x, and weight, y.
Does it appear that the weight of an alligator is predictable from its length? Explain.
Is the relationship linear?
Explain why the line of best fi t is not adequate for estimating weight based on length.
Find the value of the linear correlation coefficient.
Explain why the value of r can be so height for a set of data that is so obviously not linear in nature.
Subject  Mathematics 
Due By (Pacific Time)  12/03/2014 05:30 pm 
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