:Eleven cities are ranked according the their pollution levels and occurrenceof pulmonary diseases. Is there any relation between pollution and pulmonary disease ?Comment on the findings :City:DEFGHJPollution79.1036811Pulmonary Disease4731111086.:A45

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Answered: Eleven cities are ranked according the…

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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2. Two types of instruments for measuring the amount of sulfur monoxide in the atmosphere are being compared in an air-pollution experiment. Researchers wish to determine whether the two types of instruments yield measurements having the same variability. The readings in the following table were recorded for the two instruments. Sulfur Monoxide Instrument A Instrument B 0.87 0.74 0.63 0,82 0.75 0.61 0.55 0,76 0,70 080 0.64 0.81 0,68 0,69 0.57 0,65 0,53
The following data are collected from pregnant women to compare the Plasma ascorbic acid level of smokers and non-smokers. Table: Plasma ascorbic acid values Non-smokers 0.97, 0.72, 1.00, 0.81, 0.62, 1.32, 1.14, 1.22, 0.90, 0.74, 0.88, 0.94 Smokers 0.88, 0.71, 0.98, 0.79, 1.01, 1.16, 0.78, 1.28 Test whether there is any difference between plasma ascorbic acid levels of smokers and non-smokers. Also find 95% confidence interval for the difference of two means. Describe your findings. Use alpha=0.05 [Hint: use hypothesis, test statistics confidence interval etc.]
3. You would like to determine if there is a statistical relationship between the amount of caffein in a cup of coffee and their sales at their coffee franchises. The data is included in the set "Coffee by the Cup". Here is information about the variables. Variable Caffeine Cups Sold Measurement Amount of caffeine in one cup Number of cups of the coffee Units Milligrams Cups sold sold at all of the franchises a. Which variable is the explanatory variable and which variable is the response variable? b. Construct a scatterplot of the data. Based upon the scatterplot is there a linear relationship between the amount of caffeine in one cup of the coffee and the number of cups of coffee sold? Justify your reasoning using the scatterplot. c. Run a t-test for correlation using technology. Make sure you include the p-value and the printout. According to the t-test, is there a statistical relationship between the amount of caffeine in a cup of coffee and the number of cups sold? Justify your…
8.6 Cherry Trees: Timber yield is approximately equal to the volume of a tree, however, this value is difficult to measure without first cutting the tree down. Instead, other variables, such as height and diameter, may be used to predict a tree's volume and yield. Researchers wanting to understand the relationship between these variables for black cherry trees collected data from 31 such trees in the Allegheny National Forest, Pennsylvania. Height is measured in feet, diameter in inches (at 54 inches above ground), and volume in cubic feet. (Hand, 1994) Estimate Std. Error t value P(>|t|) (Intercept) -57.99 8.64 -6.71 0.00 height 0.34 0.13 2.61 0.01 diameter 4.71 0.26 17.82 0.00
6. Which of these relationships would be better described with a Spearman's rank coefficient than with a Pearson's coefficient? a. The association between income and educational attainment (measured in years of school) b. The association between hours of sleep and score on an exam C. The association between years aged and price of wine d. The association between ice cream sales and crime rates e. The association between number on NY Times Best Seller List and copies of book sold
A 7. The analyst in the Dorben Company made 10 independent time studies in the hand paint- spraying section of the finishing department. The product line under study revealed a direct relation between spraying time and product surface area. The following data were collected. Study No. 1 2 3 4 5 6 8 9 10 Surface Area 170 12 150 41 130 50 70 105 95 (sq. inches) Standard Time (hours) 0.32 0.11 0.31 0.14 0.27 0.18 7 120 0.24 0.23 0.25 (7a) Compute the slope and intercept constant using regression line equations. (7b) What is the correlation coefficient? (7c) How much spray time would you allow for a new part with a surface area of 250 sq. inches? 0.22
State the estimated coefficient for time and its interpretation. Also, state what the coefficient of determination is and its interpretation.
1. A study of the relation between the waistline and percent body fat in men yielded the data shown (waistline measurement in inches). waistline (x) 34.7 46.5 32.8 41.3 29.8 39.3 35.7 29.0 percent fat (y) 21.8 33.6 13.4 27.1 13.7 30.2 18.5 11.2 x = 36.1375 y = 21.1875 SSxx = 248.53875 SSay = 332.67375 SSyy = 494.30875 (a) Find the proportion of the variability in percent body fat that is accounted for by the size of the waistline. Explain fully. (b) Find the regression line for predicting y from x. (c) Construct a 95% confidence interval for the average percent body fat of all men whose waistline size is 34.0 inches. (d) test HO: Beta1 is 0 vs. Ha : Beta1 is not 0, compute the appropriate test statistic and p-value, then make your decision at a = 0.05. (e) Construct a 90% confidence interval for beta1. (f) Compute a 90% confidence interval for the average percent fat when waistline is 35.
QUESTION 2 An environmentalist wanted to determine if the mean acidity of rain differed among Ipoh, Johor Bahru and Kuantan. He randomly selected six rain dates at each city and obtained the following data: Table 2 Ipoh 5.10 5.00 4.91 5.12 4.78 5.20 Johor Bahru 4.80 4.15 4.42 4.65 4.87 4.10 Kuantan 5.45 6.23 5.55 5.10 5.42 5.25 Answer the following questions without using any output from any software. a) Construct a complete Analysis of Variance table. b) At <= 0.05, test whether the mean acidity of rain is different among the three cities. c) Based on the answer in (a) and (b), write a brief conclusion on the mean acidity of rain among Ipoh, Johor Bahru and Kuantan.
4.) A person's muscle mass is expected to decrease with age. To explore this relationship, a researcher randomly selected 10 persons from ages 40 to 79 years old and measured their muscle mass (unit). The result is as follows: X (age) Y (muscle mass) 71 64 43 67 56 73 68 56 76 65 82 91 100 68 87 73 78 80 65 84 Based on the given data, do the following: a) Plot the scatter diagram of the given data. [3pts] b) Obtain the regression line equation. [4pts] c) Estimate the muscle mass when age of the person is 60 years old. [3pts] 5.) Recognize how each shape has transformed. [2pts each] a.) b.) c.)
llustration 21.14. Calculate the coefficient of contingency from the following data relating social status and intelligence: Social Status Dull Brilliant Average 35 Lower Middle Middle 22 23 38 70 32 Upper Middle 60 20 20
Speed cameras (SC) are used to reduce the risk of accidents in accident-prone zones in metropolitan cities. To study the effectiveness of speed cameras, transport engineers would like to compare the average number of accidents in junction A (with SC) and junction B (without SC). The number of accidents in 105 weeks in two junctions are provided below. 6 7+ Number of Accidents 0 1 2 3 4 5 Observed frequency 40 20 15 16 10 3 1 0 Number of Accidents 0 1 2 3 4 5 6 7+ Junction B without SC Observed frequency 25 24 18 15 18 41 0 Junction A with SC Test the average number of accidents per week in junctions A and B are same at the 5% significance level.

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Eleven cities are ranked according the their pollution levels and occurrence of pulmonary diseases. Is there any relation between pollution and pulmonary disease ? Comment on the findings : City : A D F G J Pollution : 4 7 9. 1 10 3 6. 8 11 Pulmonary Disease 5 4 7 3 1 11 2 10 6. 9. :