B) Imagine now, that we want to reexamine the data we collected in the last HW and find out if there are differences in in the amount of math anxiety felt after taking a statistics class depending on the type of class taken. Specifically, we believe psych stats students (X) will report experiencing less math anxiety after completing the course compared to other stats students (Y). X 1 2 2 3 2 4 3 7 3 2 Y 3 5 4 3 5 3 1 3 5 6 1) Report our null and alternative hypotheses: Provided again is the sample of students that we recruited divided by class standing (see above), and the mean and standard deviation for each class (see below): X = 2.90 SDX = 1.66 Y = 3.80 SDy = 1.48 2) Given the information we have, what specific t-test do we need to run in order to examine our hypothesis? 3) Calculate the appropriate statistic to address our hypothesis (remember to report the formula for the statistic you use):

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Plz answer all with the null and alternative written out
**Text Transcription and Explanation for Educational Website**

---

**Text:**

B) Imagine now, that we want to reexamine the data we collected in the last HW and find out if there are differences in the amount of math anxiety felt after taking a statistics class depending on the type of class taken. Specifically, we believe psych stats students (X) will report experiencing less math anxiety after completing the course compared to other stats students (Y).

\[
\begin{array}{|c|c|}
\hline
X & Y \\
\hline
1 & 3 \\
2 & 5 \\
3 & 4 \\
3 & 3 \\
2 & 5 \\
4 & 3 \\
3 & 1 \\
1 & 1 \\
7 & 3 \\
3 & 5 \\
2 & 6 \\
\hline
\end{array}
\]

1) Report our **null and alternative hypotheses**:

Provided again is the sample of students that we recruited divided by class standing (see above), and the **mean** and **standard deviation** for each class (see below):

\[
\bar{X} = 2.90 \quad SD_X = 1.66 \quad \bar{Y} = 3.80 \quad SD_Y = 1.48
\]

2) Given the information we have, **what specific t-test** do we need to run in order to examine our hypothesis?

3) **Calculate** the appropriate statistic to address our hypothesis (remember to report the **formula** for the statistic you use):

**Explanation of Diagram:**

1. **Table Explanation:**
   - The table shows two groups of students—psych stats students (X) and other stats students (Y). Each row corresponds to a student's reported math anxiety level.

2. **Statistical Measures:**
   - \(\bar{X}\) and \(SD_X\) represent the mean and standard deviation of the psych stats students (X).
   - \(\bar{Y}\) and \(SD_Y\) represent the mean and standard deviation of the other stats students (Y).

3. **Hypotheses:**
   - **Null Hypothesis (\(H_0\))**: There is no difference in the math anxiety experienced between psych stats students and other stats students.
   - **Alternative Hypothesis (\(H_a\
Transcribed Image Text:**Text Transcription and Explanation for Educational Website** --- **Text:** B) Imagine now, that we want to reexamine the data we collected in the last HW and find out if there are differences in the amount of math anxiety felt after taking a statistics class depending on the type of class taken. Specifically, we believe psych stats students (X) will report experiencing less math anxiety after completing the course compared to other stats students (Y). \[ \begin{array}{|c|c|} \hline X & Y \\ \hline 1 & 3 \\ 2 & 5 \\ 3 & 4 \\ 3 & 3 \\ 2 & 5 \\ 4 & 3 \\ 3 & 1 \\ 1 & 1 \\ 7 & 3 \\ 3 & 5 \\ 2 & 6 \\ \hline \end{array} \] 1) Report our **null and alternative hypotheses**: Provided again is the sample of students that we recruited divided by class standing (see above), and the **mean** and **standard deviation** for each class (see below): \[ \bar{X} = 2.90 \quad SD_X = 1.66 \quad \bar{Y} = 3.80 \quad SD_Y = 1.48 \] 2) Given the information we have, **what specific t-test** do we need to run in order to examine our hypothesis? 3) **Calculate** the appropriate statistic to address our hypothesis (remember to report the **formula** for the statistic you use): **Explanation of Diagram:** 1. **Table Explanation:** - The table shows two groups of students—psych stats students (X) and other stats students (Y). Each row corresponds to a student's reported math anxiety level. 2. **Statistical Measures:** - \(\bar{X}\) and \(SD_X\) represent the mean and standard deviation of the psych stats students (X). - \(\bar{Y}\) and \(SD_Y\) represent the mean and standard deviation of the other stats students (Y). 3. **Hypotheses:** - **Null Hypothesis (\(H_0\))**: There is no difference in the math anxiety experienced between psych stats students and other stats students. - **Alternative Hypothesis (\(H_a\
4) Is this a **one- or two-tailed test**? Given that we are setting α = .05, what is the **critical value** for the statistical test we are conducting given our data set and hypothesis? If we need to calculate **degrees of freedom** to identify the critical value, be sure to report the formula and the value you calculate:

5) In words, **interpret** what the significance testing tells us about how our samples compares to each other on our variable of interest (**describe the variable**). Also, report the results in **APA format**:
Transcribed Image Text:4) Is this a **one- or two-tailed test**? Given that we are setting α = .05, what is the **critical value** for the statistical test we are conducting given our data set and hypothesis? If we need to calculate **degrees of freedom** to identify the critical value, be sure to report the formula and the value you calculate: 5) In words, **interpret** what the significance testing tells us about how our samples compares to each other on our variable of interest (**describe the variable**). Also, report the results in **APA format**:
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