For the data in the following matrix: a. Which two means are compared to describe the treatment main effect?b. Which two means are compared to describe the gender main effect?c. Is there an interaction between gender and treatment? Explain your answer. The image presents a table comparing treatment effects by gender:- **Columns**: - "No Treatment" and "Treatment"- **Rows**: - Male and Female categories- **Values**: - **Male**: - No Treatment: M = 8 - Treatment: M = 14 - Overall: M = 11 - **Female**: - No Treatment: M = 4 - Treatment: M = 10 - Overall: M = 7- **Overall Values**: - No Treatment: M = 6 - Treatment: M = 12This table shows the mean (M) scores for males and females under different conditions (with and without treatment), as well as their overall means across the conditions.

Name: For the data in the following matrix: a. Which two means are compared
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Description: For the data in the following matrix: a. Which two means are compared to describe the treatment main effect?b. Which two means are compared to describe the gender main effect?c. Is there an interaction between gender and treatment? Explain your answe

a. Following data is given: Justification: From the given info, there are two factors with two…

Answered: or the data in the following matrix:…

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For the data in the following matrix:

a. Which two means are compared to describe the treatment main effect?

b. Which two means are compared to describe the gender main effect?

c. Is there an interaction between gender and treatment? Explain your answer.

The image presents a table comparing treatment effects by gender:

- **Columns**:
- "No Treatment" and "Treatment"

- **Rows**:
- Male and Female categories

- **Values**:
- **Male**:
- No Treatment: M = 8
- Treatment: M = 14
- Overall: M = 11

- **Female**:
- No Treatment: M = 4
- Treatment: M = 10
- Overall: M = 7

- **Overall Values**:
- No Treatment: M = 6
- Treatment: M = 12

This table shows the mean (M) scores for males and females under different conditions (with and without treatment), as well as their overall means across the conditions.

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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