The vulnerability of inshore environments to contamination due to urban and industrial expansion in Mombasa is discussed in the paper €œMetals, Petroleum Hydrocarbons and Organo-chlorines in Inshore Sediments and Waters on Mombasa, Kenya€ [Marine Pollution Bulletin (1997) 34: 570€“ 577]. A geochemical and oceanographic survey of the inshore waters of Mombasa, Kenya, was undertaken during the period from September 1995 to January 1996. In the survey, suspended particulate matter and sediment were collected from 48 stations within Mombasa€™s estuarine creeks. The concentrations of major oxides and 13 trace elements were determined for a varying number of cores at each of the stations. In particular, the lead concentrations in suspended particulate matter (mg kg-1 dry weight) were determined at 37 stations. The researchers were interested in determining whether the average lead concentration was greater than 30 mg kg-1 dry weight. The data are given in the following table along with summary statistics and a normal probability plot. Lead concentrations (mg kg-1 dry weight) from 37 stations in Kenya: 48 41 3 77 53 37 13 210 44 41 10 38 55 46 11 112 52 32 5 52 39 17 30 10 62 32 11 6 38 41 9 23 23 7 27 12 11 Is the data normally distributed? Perform the Shapiro-Wilk test of normality and write it up. Is there sufficient evidence (in the data that the mean lead concentration exceeds 30 mg kg-1 dry weight? Perform the One Sample, One-Sided t- Test write it up. Provide a 1-3 sentence discussion of how the histogram confirms (or conflicts with) the results of the hypothesis test.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The vulnerability of inshore environments to contamination due to urban and industrial expansion in Mombasa is discussed in the paper €œMetals, Petroleum Hydrocarbons and Organo-chlorines in Inshore Sediments and Waters on Mombasa, Kenya€ [Marine Pollution Bulletin (1997) 34: 570€“ 577]. A geochemical and oceanographic survey of the inshore waters of Mombasa, Kenya, was undertaken during the period from September 1995 to January 1996. In the survey, suspended particulate matter and sediment were collected from 48 stations within Mombasa€™s estuarine creeks. The concentrations of major oxides and 13 trace elements were determined for a varying number of cores at each of the stations. In particular, the lead concentrations in suspended particulate matter (mg kg-1 dry weight) were determined at 37 stations. The researchers were interested in determining whether the average lead concentration was greater than 30 mg kg-1 dry weight. The data are given in the following table along with summary statistics and a normal probability plot.

Lead concentrations (mg kg-1 dry weight) from 37 stations in Kenya: 48 41 3 77 53 37 13 210 44 41 10 38 55 46 11 112 52 32 5 52 39 17 30 10 62 32 11 6 38 41 9 23 23 7 27 12 11

Is the data normally distributed? Perform the Shapiro-Wilk test of normality and write it up.

Is there sufficient evidence (in the data that the mean lead concentration exceeds 30 mg kg^-1 dry weight? Perform the One Sample, One-Sided t- Test write it up.

Provide a 1-3 sentence discussion of how the histogram confirms (or conflicts with) the results of the hypothesis test.

.999
Probability
.99
.95
.80
.50
.20
.05
.01
.001
0
100
Lead concentration
200

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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