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 3139141195156118Sum 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 Between Groups degrees of freedom.827 It is claimed that, on average, enrollment in a statistics course improves students'understanding of the subject. A random sample of fifteen students is tested on thissubject before and after their successful completion of such a course.Which statistical method would be appropriate to analyze these data?Student's t-test for paired samplesAnalysis of VarianceOTWO-Sample Student's t-testChi-Square testMann-Whitney Test

AS PER GUIDELINES I ANSWERED THE FIRST QUESTION GIVEN THAT The degrees of freedom is calculated…

Answered: Three different checkpoints in a water…

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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Brian, a college administrator, claimed that there was no difference in averages of students coming from three nearby schools A, B, and C. Use the following data to test his claim with a 1% significance level. STUDENTS A 84 82 89 85 80 B 88 83 82 88 80 89 83 ANOVA Table: Mean Sum of Critical Value / Source of Variation Sum of Squares df F- value Decision Squares Tabular Value Between - column Within - column Total А. Н: На:
3
A student would like to estimate the proportion of students at his school who have lunch during period 4. To do so, he selects a random sample of 40 students and finds that 30% of them have period 4 lunch. Later, he goes to the guidance office and finds that of the 380 students at this school, 25% of them have period 4 lunch. Which of the following properly describes the number, 25%? O sample O statistic O population O parameter Save and Exit Next Submit Mark this and return hp $ & 4. 6. 7 8 e r y f j k
An elementary school teacher is interested in knowing if there is a significant difference in the average reading speed of fifth-grade boys and girls. She randomly selects 36 fifth grades boys and 36 fifth grade girls for the study. Each student is given several pages of the same book to read and the time it takes them to complete the reading is recorded in minutes. Boys Girls Sample Size 36 36 Sample Mean reading speed (in minutes) 11 12 Population Variance 3 2 The p-value is a. 0.156 b. 0.0037 c. 0.336 d. 0.238
3. The data displays the number of days a vaccinated person infected with a certain virus is symptomatic, divided according to age group. Researchers wanted to know if age has anything to do with the length of time a person is symptomatic. They are testing at 0.05 significance level. 21-30 years old 31-40 years old 41-50 years old 7 4 5 6 3 7 3 6 5 6 7 3 7 For this problem, fill the missing values. (Use 5 decimal places) Source df S MS (4) (2) (3) Group 4.8 Error 12 26.8 Total 14 (1) a. (1) SST b. (2) MSG с. (3) MSE d. (4) F
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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
Question © Answered step-by-step 1.Two types of rice varieties are being considered for yield and a.. 1. Two types of rice varieties are being considered for yield and a comparison is needed. Thirty hectares were planted with the rice varieties exposed to fairly uniform growing conditions. The results are obtained as follows: Variety A Variety B Average Yield 80 sacks/hectare 35 sacks/hectare Sample variance 5.9 12.1 At 0.05 significance level, can we conclude that variety A is the better type? Math Statistics and Probability GSAR 202
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?
5. Dust mite allergies. Refer to Exercises 4.2 (p. 138) and 4.13 (p. 143). Each home with a dust mite level that ex- ceeds 2µg/g will spend $2,000 for an allergen air purifica- tion system. Find the mean and variance of the total amount spent by the four sampled homes. Give a range where this total is likely to fall.

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