8. Which of the following is/are TRUE at 5% level of significance?I. We can assume independence of errors since the subjects were randomly assigned to one of the three diets.II. We have sufficient evidence to say that the data are not normally distributed for each diet.A. I onlyB. II onlyC. Both I and IID. Neither I nor II In testing whether the variances among treatments are equal at 5% level of significance, we have _____ evidence to say that the variances are NOT equal (p-value= _____).A. sufficient, 0.01291B. insufficient, 0.53026C. sufficient, 0.000716D. insufficient, 0.7671 For numbers 8 to 10: An experiment is conducted with 3 diets, and 4 randomly assigned subjects per diet. Weight loss (Y) is observed from pre-diet at 6 months. Positive values of Y imply the subject has lost weight since the trial began. You are given the following data. (Note: theresearcher used 5% level of significance)diet = Diet1Shapiro-Wilk normality testdata: weight lossW = 0.99291, p-value = 0.9719diet = Diet2Kruskal-Wallis rank sum testShapiro-Wilk normality testdata: weight lossW = 0.94466, p-value = 0.683Bartlett test of homogeneity of variancesdata: weight loss by dietBartlett's K-squared = 0.53026, df = 2, p-value = 0.7671data: weight loss by dietKruskal-Wallis chi-squared = 8.7002, df = 2, p-value = 0.01291diet = Diet3Shapiro-Wilk normality testdata: weight lossW = 0.92708, p-value = 0.5774Analysis of Variance TableResponse: weight_lossdietDf SS2 168Residuals 9MS84.0042 4.67F value Pr(>F)180.000716

Given is a study to compare the mean weight loss (Y) among 3 types of diet. The total sample size is…

Answered: 8. Which of the following is/are TRUE…

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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Question

8. Which of the following is/are TRUE at 5% level of significance?

I. We can assume independence of errors since the subjects were randomly assigned to one of the three diets.

II. We have sufficient evidence to say that the data are not normally distributed for each diet.

A. I only

B. II only

C. Both I and II

D. Neither I nor II

In testing whether the variances among treatments are equal at 5% level of significance, we have _____ evidence to say that the variances are NOT equal (p-value= _____).

A. sufficient, 0.01291

B. insufficient, 0.53026

C. sufficient, 0.000716

D. insufficient, 0.7671

For numbers 8 to 10: An experiment is conducted with 3 diets, and 4 randomly assigned subjects per diet. Weight loss (Y) is observed from pre-
diet at 6 months. Positive values of Y imply the subject has lost weight since the trial began. You are given the following data. (Note: the
researcher used 5% level of significance)
diet = Diet1
Shapiro-Wilk normality test
data: weight loss
W = 0.99291, p-value = 0.9719
diet = Diet2
Kruskal-Wallis rank sum test
Shapiro-Wilk normality test
data: weight loss
W = 0.94466, p-value = 0.683
Bartlett test of homogeneity of variances
data: weight loss by diet
Bartlett's K-squared = 0.53026, df = 2, p-value = 0.7671
data: weight loss by diet
Kruskal-Wallis chi-squared = 8.7002, df = 2, p-value = 0.01291
diet = Diet3
Shapiro-Wilk normality test
data: weight loss
W = 0.92708, p-value = 0.5774
Analysis of Variance Table
Response: weight_loss
diet
Df SS
2 168
Residuals 9
MS
84.00
42 4.67
F value Pr(>F)
18
0.000716

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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