# Project #49987 - frequency distribution

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 2k > 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:

1. Mean

1. Median

1. Mode

1. Maximum Value

1. Minimum Value

1. Range

1. Midrange

1. First Quartile

1. Third Quartile

1. Interquartile Range

1. 70th Percentile

1. 30th Percentile

1. Variance

1. Standard Deviation

1. Coefficient of Variation

Part III: Measures of Central Tendency and Spread from Grouped Data (75 Points) Re-compute 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

1. Construct a scatter diagram for length, x, and weight, y.

1. Does it appear that the weight of an alligator is predictable from its length? Explain.

1. Is the relationship linear?

1. Explain why the line of best fi t is not adequate for estimating weight based on length.

1. Find the value of the linear correlation coefficient.

1. 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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