**Step 2**Now that the hypotheses have been determined, a test statistic needs to be found. A partial ANOVA table will be used to organize values in calculating the test statistic. Recall the format of the ANOVA table, given below. The final Total row will not be used.| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | $ F $ | p-value ||---------------------|----------------|--------------------|-------------|-------|---------|| Treatments | SSTR | $ k - 1 $ | $ \frac{\text{SSTR}}{k - 1} = \text{MSTR} $ | $ F = \frac{\text{MSTR}}{\text{MSE}} $ | || Error | SSE | $ n_T - k $ | $ \frac{\text{SSE}}{n_T - k} = \text{MSE} $ | | || Total | SSTR + SSE = SST | $ (k - 1) + (n_T - k) = n_T - 1 $ | | | |The formula for the sum of squares due to treatments, SSTR, follows where $ n_j $ is the number of observations for treatment $ j $, $ \bar{x}_j $ is the sample mean for treatment $ j $, and $ \bar{x} $ is the mean of all the observations in the data.\[\text{SSTR} = \sum_{j=1}^{k} n_j (\bar{x}_j - \bar{x})^2\]The given data are below:| | Treatment A | Treatment B | Treatment C ||--------------|-------------|-------------|-------------|| Observations | 33 | 45 | 32 || | 29 | 44 | 37 || | 29 | 44 | 36 || | 27 | 47 | 37 || | 32 | 50 | 33 || Sample Mean | 30.00 | 46.00 | 35.00 || Sample Variance | 6.00 | 6.50 | 5.50 |

Given that : k= 23 treatements or groups Each group has 5 observation. We have to fill the missing…

Answered: The formula for the sum of squares due…

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

Group Mean Variance df n 1 10000 1000 30 2 9000 800 30 3 8000 500 30 4 10500 700 30 Find the variance for the above data df= Standard deviation n = sampled data
Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 Person 7 Person 8 Person 9 Height (inches) 75 62 64 63 62 70 69 70 67 Weight (lbs) 325 250 280 220 235 265 200 365 175 (CLO 2) Test a claim that the mean height of people you know is not equal to 64 inches using the p-value method or the traditional method. State H0 and H1. Find the p-value or critical value(s). Draw a conclusion. (CLO 3) Find the correlation coefficient between height and weight. Construct the equation of the regression line and use it to predict the weight of a person who is 68 inches tall.
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?
Maxwell’s hot chocolate is concerned about the effect of the year-long coffee advertising campaign on the chocolate sales. The weekly hot chocolate sales from 15 locations (in this year) is collected and summarized in the following table. Descriptive Statistics N Sum Range Minimum Maximum Mean Std. Deviation Variance Sales 15 --- --- 20 197 24.80 3.53 12.46a) Calculate the missing values in the table (Sum and Range)b) The average sales was $26.6 last year and the manager of the firm claim that there is a decrease in the sales this year. Does the data provide sufficient evidence to support the claim of the manager at 1% significance level? Show your calculations in detail and interpret the result.
Use the following returns for X and Y. Year Returns X Y 1 21.9% 26.7% 2 −16.9 −3.9 3 9.9 28.7 4 19.8 −14.8 5 4.9 32.7 Calculate the average returns for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. Calculate the variances for X and Y. Note: Do not round intermediate calculations and round your answers to 6 decimal places, e.g., .161616. Calculate the standard deviations for X and Y. Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.
For the residents in 2014, use R to calculate the interval with 99% certainty that the interval contains the actual population mean of the residents by census tracts. Type in the interval with keyboard. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years. POP2014: 3072, 1989, 3794, 2689, 3211, 3722, 4385, 4009, 7598, 3862, 3097, 2726, 4881, 4157, 2570, 2512, 2518, 4863, 4147, 7139, 6067, 6819, 3705, 3239, 3824, 4977, 2576, 2940, 9791, 5231, 5634, 5337, 4205, 3888, 5562, 3335, 3770, 1808, 2045, 1532, 5420, 4993, 6109, 4377, 5424, 4976, 4507, 3738, 2827, 3485, 1559, 5199, 4702, 3971, 3803, 3356, 4670, 3816, 5477, 4760, 3126, 3630, 3755, 3795, 2578, 3382, 4005, 2442, 6096, 3799, 3843, 3836, 6046, 6431, 3561, 3142, 4829, 5058, 2471, 6119, 3523, 3094, 3146, 3356, 2618, 2366, 4266, 4016, 6080, 1554, 6878, 3645,…
An article reported on a long-term study of the effects of hurricanes on tropical streams of a forest. The study shows that a hurricane had a significant impact on stream water chemistry. The following shows a sample of 10 ammonia fluxes in the first year after the hurricane. Data are in kilograms per hectare per year. Complete parts (a) through (c) below. 99 85 147 147 177 116 57 57 89 156 D a. Find the mean. The mean is. (Type an integer or decimal rounded to one decimal place as needed.) b. Find the median. The median is (Type an integer or decimal rounded to one decimal place as needed.) c. Find the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The mode(s) is(are) (Use a comma o separate answers as needed.) O B. There is no mode.
In order to use the defining formula for variance, we must calculate (x − x)2 for each data value in the data set 14, 18, 22, 26, 33. Use the values in the data set and the mean x = 22.6 to fill out the following table. x 14 18 22 26 33 x 22.6 22.6 22.6 22.6 22.6 x − x 14 − 22.6 = −8.6 18 − 22.6 = __________ 22 − 22.6 = −0.6 26 − 22.6 = _________ 33 − 22.6 = 10.4 (x − x)2 73.96 __________ 0.36 ________ 108.16
Answer and show complete solution. Pls don't rejectIn a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability: Ratios of Observed Settlement to Calculated Settlement of Piles 0.12 0.97 0.86 1.14 0.94 2.37 0.88 0.92 1.01 0.99 1.02 1.04 0.99 0.87 0.52 0.94 1.06 1.38 1.04 1.18 1 0.86 0.82 0.84 1.09 a. Assuming that the ratio is a normal random variable, construct a probability plot and observe if the data points follow a linear trend.
What do the box plots tell you about the variability of the data? a. A has greater variability because its median and mean are greater than B b. B has greater variability because its range and IQR are greater tha c. B has greater variability because its median & mean are greater than A d. A has greater variability because its range & IQR are greater than B
Find the variance of the given table in the attached photo
Dp4

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