What is Ha? (H0 is the mean VIQ scores for the younger, middle-aged, and older subjects are all not different from each other) (Note: 1= 5-25 Years, 2= 26-59 Years, 3= 60-92 Years)Multiple Choices:1. H0 is not true2. The mean VIQ scores for the younger, middle-aged, and older subjects 3. are all different3. The mean VIQ scores for the younger, middle-aged, and older subjects are not equal to one another4. The mean VIQ scores for the younger, middle-aged, and older subjects are not the same as each other ### Descriptives#### WAIS-R Verbal IQ| Group | N | Mean | Std. Deviation | Std. Error | 95% Confidence Interval for Mean | Minimum | Maximum ||-------|-----|--------|----------------|------------|----------------------------------|---------|---------|| 1 | 185 | 105.66 | 11.896 | .875 | 103.94 to 107.39 | 81 | 138 || 2 | 380 | 107.99 | 12.935 | .664 | 106.69 to 109.30 | 67 | 150 || 3 | 185 | 113.45 | 11.933 | .877 | 111.72 to 115.18 | 78 | 146 || Total | 750 | 108.77 | 12.748 | .465 | 107.85 to 109.68 | 67 | 150 |### ANOVA#### WAIS-R Verbal IQ| Source of Variation | Sum of Squares | df | Mean Square | F | Sig. ||-----------------------|----------------|-----|-------------|-------|-------|| Between Groups | 6072.641 | 2 | 3036.321 | 19.612| <.001 || Within Groups | 115648.057 | 747 | 154.817 | | || Total | 121720.699 | 749 | | | |### ExplanationThe table labeled "Descriptives" provides statistical details for the WAIS-R (Wechsler Adult Intelligence Scale-Revised) Verbal IQ scores across three groups. Each group consists of a certain number of participants (N), with their respective mean scores, standard deviations, standard errors, and confidence intervals. Minimum and maximum scores for each group are also presented.The "ANOVA" table is an analysis of variance, which evaluates whether there are any statistically significant differences between the means of the groups. The "Between Groups" row shows the variation due to interaction between the groups, while the "Within Groups" row displays variation within each group. The significance value (Sig.) being less than .001 indicates a significant

Given the Null Hypothesis : H0 : is the mean VIQ scores for the younger, middle-aged, and older…

Answered: What is Ha? (H0 is the mean VIQ scores…

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

What is H_a? (H₀ is the mean VIQ scores for the younger, middle-aged, and older subjects are all not different from each other) (Note: 1= 5-25 Years, 2= 26-59 Years, 3= 60-92 Years)

Multiple Choices:

1. H₀ is not true

2. The mean VIQ scores for the younger, middle-aged, and older subjects 3. are all different

3. The mean VIQ scores for the younger, middle-aged, and older subjects are not equal to one another

4. The mean VIQ scores for the younger, middle-aged, and older subjects are not the same as each other

### Descriptives

#### WAIS-R Verbal IQ

| Group | N | Mean | Std. Deviation | Std. Error | 95% Confidence Interval for Mean | Minimum | Maximum |
|-------|-----|--------|----------------|------------|----------------------------------|---------|---------|
| 1 | 185 | 105.66 | 11.896 | .875 | 103.94 to 107.39 | 81 | 138 |
| 2 | 380 | 107.99 | 12.935 | .664 | 106.69 to 109.30 | 67 | 150 |
| 3 | 185 | 113.45 | 11.933 | .877 | 111.72 to 115.18 | 78 | 146 |
| Total | 750 | 108.77 | 12.748 | .465 | 107.85 to 109.68 | 67 | 150 |

### ANOVA

#### WAIS-R Verbal IQ

| Source of Variation | Sum of Squares | df | Mean Square | F | Sig. |
|-----------------------|----------------|-----|-------------|-------|-------|
| Between Groups | 6072.641 | 2 | 3036.321 | 19.612| <.001 |
| Within Groups | 115648.057 | 747 | 154.817 | | |
| Total | 121720.699 | 749 | | | |

### Explanation

The table labeled "Descriptives" provides statistical details for the WAIS-R (Wechsler Adult Intelligence Scale-Revised) Verbal IQ scores across three groups. Each group consists of a certain number of participants (N), with their respective mean scores, standard deviations, standard errors, and confidence intervals. Minimum and maximum scores for each group are also presented.

The "ANOVA" table is an analysis of variance, which evaluates whether there are any statistically significant differences between the means of the groups. The "Between Groups" row shows the variation due to interaction between the groups, while the "Within Groups" row displays variation within each group. The significance value (Sig.) being less than .001 indicates a significant

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 + ...

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