participants swear words neutral words 94 59 2 70 61 52 47 4 83 60 5 46 35 117 92 7 69 53 8. 39 30 9. 51 56 10 73 61 Count(n) 10 10 Mean 69.4 55.4 DEVSQ(SS) 5182.4 2574.4 STDEV.S 25.41653005 17.81697069 df 9. S(M1-M2) alpha terit tobs Reject Ho Decision Cohen's d Fail to reject Ho 1.

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What is the cohen’s d?
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---

### Examining the Differences in Word Recall

In this study, participants were tasked with recalling two different types of words: swear words and neutral words. The gathered data and subsequent statistical analysis are presented below.

#### Raw Data:
The table below summarizes the number of words recalled by each participant in two categories: swear words and neutral words.

\[
\begin{array}{|c|c|c|}
\hline
\text{Participant} & \text{Swear Words} & \text{Neutral Words} \\
\hline
1 & 94 & 59 \\
2 & 70 & 61 \\
3 & 52 & 47 \\
4 & 83 & 60 \\
5 & 46 & 35 \\
6 & 117 & 92 \\
7 & 69 & 53 \\
8 & 39 & 30 \\
9 & 51 & 56 \\
10 & 73 & 61 \\
\hline
\end{array}
\]

#### Descriptive Statistics:
For both types of words, the following statistics were calculated:
- **Count (n)**: The number of participants, which is 10 for each category.
- **Mean**: The average number of words recalled.
  - Swear words: 69.4
  - Neutral words: 55.4
- **DEVSQ(SS)**: The sum of the squares of the deviations (also known as the sum of squares).
  - Swear words: 5182.4
  - Neutral words: 2574.4
- **STDEV.S**: The standard deviation of the sample.
  - Swear words: 25.41653005
  - Neutral words: 17.81697069

#### Inferential Statistics:
An independent t-test was conducted to compare the mean number of swear words recalled to the mean number of neutral words recalled, which involves the following parameters:
- **df**: Degrees of freedom, which is 9 for both categories.
- **\(S_{M1-M2}\), alpha, \(t_{\text{crit}}\), \(t_{\text{obs}}\), Cohen's d, r²**: Placeholder values left for calculating specific statistical outcomes, which were used to reach a decision on the hypothesis
Transcribed Image Text:Certainly! Below is the transcription and detailed explanation of the provided data and visual elements for an educational website: --- ### Examining the Differences in Word Recall In this study, participants were tasked with recalling two different types of words: swear words and neutral words. The gathered data and subsequent statistical analysis are presented below. #### Raw Data: The table below summarizes the number of words recalled by each participant in two categories: swear words and neutral words. \[ \begin{array}{|c|c|c|} \hline \text{Participant} & \text{Swear Words} & \text{Neutral Words} \\ \hline 1 & 94 & 59 \\ 2 & 70 & 61 \\ 3 & 52 & 47 \\ 4 & 83 & 60 \\ 5 & 46 & 35 \\ 6 & 117 & 92 \\ 7 & 69 & 53 \\ 8 & 39 & 30 \\ 9 & 51 & 56 \\ 10 & 73 & 61 \\ \hline \end{array} \] #### Descriptive Statistics: For both types of words, the following statistics were calculated: - **Count (n)**: The number of participants, which is 10 for each category. - **Mean**: The average number of words recalled. - Swear words: 69.4 - Neutral words: 55.4 - **DEVSQ(SS)**: The sum of the squares of the deviations (also known as the sum of squares). - Swear words: 5182.4 - Neutral words: 2574.4 - **STDEV.S**: The standard deviation of the sample. - Swear words: 25.41653005 - Neutral words: 17.81697069 #### Inferential Statistics: An independent t-test was conducted to compare the mean number of swear words recalled to the mean number of neutral words recalled, which involves the following parameters: - **df**: Degrees of freedom, which is 9 for both categories. - **\(S_{M1-M2}\), alpha, \(t_{\text{crit}}\), \(t_{\text{obs}}\), Cohen's d, r²**: Placeholder values left for calculating specific statistical outcomes, which were used to reach a decision on the hypothesis
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