Answered: To test whether or not there is a…

Treatment

Observation

Variance (s²)

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

Related questions

Topic Video

Question

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below.

The null hypothesis for the ANOVA problem is

a. µ_A = µ_B

b. µ_A = µ_B = µ_C

c. µ_A = µ_B = µ_C = µ_D

d. µ_A = µ_B = ... = µ_L

The mean square between treatments (MSTR) equals

a. 1.872

b. 5.86

c. 34

d. 36

The mean square between treatments (MSE) equals

a. 1.872

b. 5.86

c. 34

d. 36

The test statistic to test the null hypothesis equals

a. 0.944

b. 1.059

c. 3.13

d. 19.231

Using the information above. The null hypothesis is to be tested at the 1% level of significance. The critical value of F value is

a. greater than 8

b. between 7 to 8

c. between 6 to 7

d. between 5 to 6

Using the information above. The null hypothesis

a. should be rejected

b. should not be rejected

c. should be revised

d. None of these alternatives is correct.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions