4. Suppose that we want to compare the cholestrol contents of four competing diet foodson the basis of the following data (in milligrams per package) which were obtained forthree 6-ounce packages of each of the diet foods:Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D:3.5 3.8 3.8a) Fill in the blanks below.b) Test at the 0.05 level of significance whether the differences among meansobtained for the four competing diet foods (Diet A, B, C, D) are significant?Etable=4.07)ONE-WAY ANOVA TABLESource ofDegrees ofSum of SquaresMean SquareFVariationFreedomTreatments?0.54??Error???Total?1.18

The main objective of an ANOVA (one-way) is to compare the means of more than two means to identify…

Answered: 4. Suppose that we want to compare 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

See similar textbooks

Similar questions

Thomas wants to compare the mean concentration of carbon monoxide (CO) on residential versus commercial streets, since these differ in terms of car traffic. In each of three neighborhoods of Montréal (named A, B, and C below), he randomly chooses four locations for each type of street, for a total of 24 observations (2 street types x 3 neighborhoods x 4 locations). At each location, he measures CO concentration in the air over a period of 10 hours (8:00 AM-6:00 PM), and obtains the following data (in ppm/h). Question: Test whether or not the difference between residential and commercial streets in mean atmospheric CO concentration is the same among the three neighborhoods, and whether or not CO concentration in the air is the same, on average, for the two types of streets. Note that Neighborhood is considered a random block factor in the ANOVA. Use significant level= 0.05.
The following table presents the highway gasoline mileage performance (y) and engine displacement (x) for Damler-Chrysler vehicles for model year 2005 (source: U.S. Environmental Protection Agency). Engine Displacement MPG (highway) Carline 300C/SRT-8 215 30.8 CARAVAN 2WD 201 32.5 CROSSFIRE ROADSTER 196 35.4 DAKOTA PICKUP 2WD 226 28.1 DAKOTA PICKUP 4WD 226 24.4 DURANGO 2WD 348 24.1 GRAND CHEROKEE 2WD 226 28.5 GRAND CHEROKEE 4WD 348 24.2 LIBERTY/CHEROKEE 2WD 148 32.8 LIBERTY/CHEROKEE 4WD 226 28 NEON/SRT-4/SX 2.0 122 41.3 PACIFICA 2WD 215 30 PACIFICA AWD 215 28.2 PT CRUISER 148 34.1 RAM 1500 PICKUP 2WD 500 18.7 RAM 1500 PICKUP 4WD 348 20.3 SEBRING 4-DR 165 35.1 STRATUS 4-DR 148 37.9 TOWN & COUNTRY 2WD 148 33.8 VIPER CONVERTIBLE 500 25.9 WRANGLER/TJ 4WD 148 26.4
Perform PCA or principle component analysis on the following data: х1 x2 x3 810.6 13.4 42.93 1775 24.2 32.319 430.4 5.7 60.434 459.8 9 21.398 802.4 13.9 55.778 279.6 20.4 53.236 288.4 4.6 63.208 152.7 7.3 59.727 253.4 9.9 48.037 358.6 13.5 48.288 72 12.8 36.507 205 5.9 37.195 253.6 15.8 36.964 416.5 12.3 42.83 1075.9 17.1 39.684 Answer the following questions based on the PCA: • How many principle components were created? • What percent of total variance is accounted for by the calculated principal components? (Round to 2 decimal places) • What are the weights for computing the first principle component scores? (Round to 4 decimal places) o x1: • x2: o x3:
Scientists have discovered a new bird species; however, they only found 15 birds of such species. They measured the height (in cm) of these 10 birds:12.94, 5.80, 15.47, 14.14, 7.48, 9.21, 9.79, 8.86, 17.75, 10.39. I entered the data into R as shown below: bird <- c(12.94, 5.80, 15.47, 14.14, 7.48, 9.21, 9.79, 8.86, 17.75, 10.39) Treat this data as population data. Which of the following R code computes the variance of the height of the birds? A. var(bird) B. sum((bird - mean(bird))^2)/length(bird) C. mean((bird - mean(bird))^2) D. sum((bird - mean(bird))^2)/9 E. B and C F. A and D G. B and D H. A and C
rofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes. Brand Weight Price ($) A 17.8 2,100 В 16.1 6,350 C 14.9 8,370 15.9 6,200 E 17.2 4,000 13.1 8,500 G 16.2 6,000 17.1 2,480 I 17.6 3,300 14.1 8,000 These data provided the estimated regression equation ŷ = 28,532 – 1,438x. For these data, SSE = 7,779,221.53 and SST = 52,710,800. Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level of significance. %3D State the null and alternative hypotheses. Ho: Bo + 0 Ha: Bo = 0 O Ho: Bo = 0 Ha: Bo + 0 O Hoi Bq = 0 H: B1 + 0 O Ho: Bq z 0 Ha: B1 < 0 O Ho: Bq # 0 Ha: B1 = 0
3. A study on the length of a certain type of bacteria was conducted. The table below shows the data obtained from the study. Compute the 3 quartiles. Length (mm) Number of bacteria 31 - 35 26-30 8. 21 - 25 22 16 - 20 16 11 - 15 10 6- 10 4. 1-5 2. elow Compute fo
1. The grades of a class of 9 students on a midterm report and on the final examination are as follows: MR 77 50 71 72 81 94 96 99 67 FE 82 66 78 34 47 85 99 99 68 A. What is the dependent and independent variable? B. Pearson'sr= Interpret: C.r-square = Interpret:
only b and c, thank you
r:32. Compute the median weight of the rabbits from the following data: Serial Number: 1 3 4 Weight in gms: 120 150 110 190 160 95.
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?
6. A sample of 5 fathers and their eldest sons gave the following data about their weight in Kgs. Father (x): 65 60 67 63 74 Son (y): 49 45 57 40 60 CS Scanned with CamScanner

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS