Records are kept, where possible, of the locations in a forest where fires haveignited. The resulting spatial pattern could be tested to see whether the pattern israndom or if fires are more frequent in certain areas. The existing distributionincludes 432 points.What Statistical Method is best to determine if the pattern is randome or not?Analysis of VarianceStudent's t TestVariance to Mean Ratio Testz-TestChi-Square Test Three different checkpoints in a water distribution system are tested for bacterialcontamination. Several randomly selected water samples from each location are usedto produce bacterial contamination scores on a scale from 1 and 20. Is the level ofcontamination the same everywhere?Location 1Location 2Location 369131411156118Sum 483230The null hypothesis is that the bacterial contamination is the same at all threelocations. Your research hypothesis is that at least one location has a different meancontamination score.You calculate that Ex = 110 and Ex? = 1200. Perform the rest of the ANOVAcalculations to determine the test statistic F:1.8821.7762.313O 2.401O 1.642

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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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Three different checkpoints in a water distribution system are tested for bacterial contamination. Several randomly selected water samples from each location are used to produce bacterial contamination scores on a scale from 1 and 20. Is the level of contamination the same everywhere? Location 1 Location 2 Location 3 13 9 14 11 5 15 6 11 9 8 Sum 48 32 30 The null hypothesis is that the bacterial contamination is the same at all three locations. Your research hypothesis is that at least one location has a different mean contamination score. You calculate that Ex = 110 and Ex² = 1200. Perform the rest of the ANOVA calculations to determine the Within Groups Variation (SSWithin). 129 32 64 100 68
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 25 34 15 31 32 14 29 37 18 27 33 17 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. Sum of squares, treatment = Sum of squares, error = Mean squares, treatment = mean squares, error = Calculate the value of the test statistic (to 2 decimals). The P-value is: Less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05, between 0.05 and 0.10, greater than 0.10 What is your conclusion? b. At the a = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. What conclusion can you draw after carrying out this test?
Compare the appropriate measures of center and variability for the two sets of data. Data Set A has a higher mean value of 8.8, and Data Set B has a lower range value of 8. Data Set A has a higher median value of 9, and Data Set B has a lower IQR value of 2.5. Data Set A has a lower mean value of 8.8, and Data Set B has a higher range value of 8. Data Set A has a lower median value of 9, and Data Set B has a higher IQR value of 8.
There is a strong relationship between heterosexual couples attractiveness scores. Therefore, a researcher wanted to determine if husbands attractiveness score may be predicted from their counterparts’ scores. Below are couples attractiveness ratings. Observation Wife (X) Husband (Y) 1 11 14 2 6 7 3 16 15 4 4 7 5 1 3 6 10 9 7 5 9 8 3 8 Complete the following ANOVA table Source SS DF MS F SSreg SSres SStotal
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
6
35. Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 757 134.55 538 106.7 782 142.3 461 83.15 597 116.55 372 74.8 328 75.2 480 92 978 154.7 261 58.15 A student calculates a linear modely = x + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 849.Cost =$ (Please show your answer to 2 decimal places.)

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