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How many degrees of freedom are there, using the simple method? The degrees of freedom using the simple method is 0.027 Part 3 of 6 Part 4 of 6 Find the critical value(s). Round the answer to at least three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): t= 00. Compute the test statistic. Round the answer to three decimal places. Part 5 of 6 X X Determine whether to reject Ho. (Choose one) ▼ the null hypothesis Ho. S

How many degrees of freedom are there, using the simple method? The degrees of freedom using the simple method is 0.027 Part 3 of 6 Part 4 of 6 Find the critical value(s). Round the answer to at least three decimal places. If there is more than one critical value, separate them with commas. Critical value(s): t= 00. Compute the test statistic. Round the answer to three decimal places. Part 5 of 6 X X Determine whether to reject Ho. (Choose one) ▼ the null hypothesis Ho. S

MATLAB: An Introduction with Applications
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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**Empathy:** The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 11 males and 11 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the mean empathy score for women? Let μ₁ denote the mean empathy score for males and μ₂ denote the mean empathy score for females. Use the α = 0.01 level and the critical value method with the table. **Males** - Scores: 12, 16, 13, 26, 21, 23, 8, 15, 18, 25, 15 **Females** - Scores: 26, 25, 28, 24, 16, 19, 20, 23, 21, 23, 15 **Part 1 of 6** State the appropriate null and alternate hypotheses. - H₀: μ₁ = μ₂ - H₁: μ₁ < μ₂ This is a **left-tailed** test.
Transcribed Image Text:**Empathy:** The Interpersonal Reactivity Index is a survey designed to assess four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data, representing random samples of 11 males and 11 females, are consistent with results reported in psychological studies. Boxplots show that it is reasonable to assume that the populations are approximately normal. Can you conclude that the mean empathy score for men is less than the mean empathy score for women? Let μ₁ denote the mean empathy score for males and μ₂ denote the mean empathy score for females. Use the α = 0.01 level and the critical value method with the table. **Males** - Scores: 12, 16, 13, 26, 21, 23, 8, 15, 18, 25, 15 **Females** - Scores: 26, 25, 28, 24, 16, 19, 20, 23, 21, 23, 15 **Part 1 of 6** State the appropriate null and alternate hypotheses. - H₀: μ₁ = μ₂ - H₁: μ₁ < μ₂ This is a **left-tailed** test.
**Part 2 of 6** - How many degrees of freedom are there, using the simple method? - The degrees of freedom using the simple method is: [Input field: 0.027] **Part 3 of 6** - Find the critical value(s). Round the answer to at least three decimal places. If there is more than one critical value, separate them with commas. - Critical value(s): [Input field with option to enter multiple values separated by commas] **Part 4 of 6** - Compute the test statistic. Round the answer to three decimal places. - \( t = \) [Input field for test statistic] **Part 5 of 6** - Determine whether to reject \( H_0 \). - [Dropdown: (Choose one) to reject or not reject] the null hypothesis \( H_0 \).
Transcribed Image Text:**Part 2 of 6** - How many degrees of freedom are there, using the simple method? - The degrees of freedom using the simple method is: [Input field: 0.027] **Part 3 of 6** - Find the critical value(s). Round the answer to at least three decimal places. If there is more than one critical value, separate them with commas. - Critical value(s): [Input field with option to enter multiple values separated by commas] **Part 4 of 6** - Compute the test statistic. Round the answer to three decimal places. - \( t = \) [Input field for test statistic] **Part 5 of 6** - Determine whether to reject \( H_0 \). - [Dropdown: (Choose one) to reject or not reject] the null hypothesis \( H_0 \).
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