Quiz 4 ANOVA

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San Jacinto Community College *

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4371

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Statistics

Date

Apr 3, 2024

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pdf

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Uploaded by LisaAnn1

Quiz 4: ANOVA Quiz 4 covers all materials from Weeks 13-15. For a review, see your homework. You will have 60 minutes (1 hour) to complete this quiz. If you go over the 60 minutes, your grade will be penalized. Once you start the exam, you must complete the exam within 60 minutes, so make sure you are ready to begin. You can leave and come back from the exam, but you must submit after 60 minutes. If you leave and come back, make sure you save your answers. This is open-note, but keep in mind that you do not have time to look up every single question, so make sure you study ahead of time! The questions will ask you to round your answers when entering them. You should not round your answers when you are doing your calculations as this can create compounding errors. You should only round your answers to enter them into Canvas. Question at position 1 1 5 points Question 1 is unpinned. Click to pin. Question at position 1 You have a significant difference and reject the null hypothesis when: the p-value is less than .05 the p-value is greater than .05 the t-value is less than .05 the t-value is greater than .05 Question at position 2 2 5 points Question 2 is unpinned. Click to pin. Question at position 2 ANOVA stands for another variable analyzing numbers only valid analysis of variance a null on variance analysis Question at position 3 3 5 points Question 3 is unpinned. Click to pin. Question at position 3 Which of the following is NOT a type of inferential statistic? one-way ANOVA variance independent samples t-test paired samples t-test

Question at position 4 4 5 points Question 4 is unpinned. Click to pin. Question at position 4 You do NOT have a significant difference and accept the null hypothesis when: the p-value is greater than .05 the f-value or t-values is less than .05 the f-value or t-value is greater than .05 the p value is less than .05 Question at position 5 5 5 points Question 5 is unpinned. Click to pin. Question at position 5 The main difference between an ANOVA and a t-test is that in ANOVA you are comparing three or more group difference where as with t-tests you can only test the difference between two groups. The main difference between an ANOVA and a t-test is that in ANOVA you are comparing three or more group difference where as with t-tests you can only test the difference between two groups. True False Question at position 6 6 5 points Question 6 is unpinned. Click to pin. Question at position 6 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the degrees of freedom between samples ? 2 Question at position 7 7 5 points Question 7 is unpinned. Click to pin. You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the

mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the degrees of freedom within samples ? 12 Question at position 8 8 5 points Question 8 is unpinned. Click to pin. You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the total degrees of freedom? 14 Question at position 9 9 5 points Question 9 is unpinned. Click to pin. You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the mean square between samples ? 0.8 Question at position 10 10 5 points Question 10 is unpinned. Click to pin. Question at position 10 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the

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mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the mean square within samples ? 0.8 Question at position 11 11 5 points Question 11 is unpinned. Click to pin. You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. What is the f-ratio ? 0.4 Question at position 12 12 5 points Question 12 is unpinned. Click to pin. Question at position 12 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. You calculated the f-ratio above. The corresponding p-value for the f-ratio you calculated is p = 0.78. Is this finding significant? Yes, the finding is not statistically significant because the p-value is smaller than .05. No, the finding is not statistically significant because the p-value is greater than .05. Yes, the finding is statistically significant because the p-value is greater than .05. No, the finding is not statistically significant because the p-value is smaller than .05. Question at position 13 13 5 points Question 13 is unpinned. Click to pin.

Question at position 13 You are interested in seeing whether emotions impact decision making. You have three groups--a happy group, a sad group, and a neutral group. For the happy group there are 5 participants and the mean risky decision making score 5.0 with a standard deviation of 0.7. For the sad group there are 5 participants and the mean risky decision making score 5.4 with a standard deviation of 1.1. For the neutral group there are 5 participants and the mean risky decision making score 5.8 with a standard deviation of 2.8. The sum of squares between samples is equal to 1.6. The sum of squares within samples is equal to 38.0. You calculated the f-ratio above. The corresponding p-value for the f-ratio you calculated is p = 0.78. Is this finding significant? You reject the null hypothesis because your p-value is greater than .05 and not significant. You accept the null hypothesis because your p-value is greater than .05 and not significant. You reject the null hypothesis because your p-value is greater than .05 and significant. You accept the null hypothesis because your p-value is greater than .05 and significant. Question at position 14 14 5 points Question 14 is unpinned. Click to pin. Question at position 14 You hypothesize that younger adults are more stressed than all other age groups. You compare stress levels between three groups: Young adults, middle aged adults, and older adults. You collect data in 30 individuals and your data is as follows: Young Adults Middle Aged Adults Older Adults 100 100 50 50 95 56 84 95 55 70 80 85 75 75 35 85 60 60 62 55 30 30 100 25 100 64 75 100 78 60 What is the degrees of freedom between samples? 2 Question at position 15 15 5 points Question 15 is unpinned. Click to pin. Question at position 15 You hypothesize that younger adults are more stressed than all other age groups. You compare stress levels between three groups: Young adults, middle aged adults, and older adults. You collect data in 30 individuals and your data is as follows:

Young Adults Middle Aged Adults Older Adults 100 100 50 50 95 56 84 95 55 70 80 85 75 75 35 85 60 60 62 55 30 30 100 25 100 64 75 100 78 60 What is the degrees of freedom within samples? 27 Question at position 16 16 5 points Question 16 is unpinned. Click to pin. Question at position 16 You hypothesize that younger adults are more stressed than all other age groups. You compare stress levels between three groups: Young adults, middle aged adults, and older adults. You collect data in 30 individuals and your data is as follows: Young Adults Middle Aged Adults Older Adults 100 100 50 50 95 56 84 95 55 70 80 85 75 75 35 85 60 60 62 55 30 30 100 25 100 64 75 100 78 60 What is the total degrees of freedom for this data? 29 Question at position 17 17 5 points Question 17 is unpinned. Click to pin. Question at position 17

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You hypothesize that younger adults are more stressed than all other age groups. You compare stress levels between three groups: Young adults, middle aged adults, and older adults. You collect data in 30 individuals and your data is as follows: Young Adults Middle Aged Adults Older Adults 100 100 50 50 95 56 84 95 55 70 80 85 75 75 35 85 60 60 62 55 30 30 100 25 100 64 75 100 78 60 What is the critical value of f with α = .05? 3.35 Question at position 18 18 5 points Question 18 is unpinned. Click to pin. Question at position 18 You hypothesize that younger adults are more stressed than all other age groups. You compare stress levels between three groups: Young adults, middle aged adults, and older adults. You collect data in 30 individuals and your data is as follows: Young Adults Middle Aged Adults Older Adults 100 100 50 50 95 56 84 95 55 70 80 85 75 75 35 85 60 60 62 55 30 30 100 25 100 64 75 100 78 60 The between group sum of squares for this sample is 4206.07. The within group sum of squares for this sample is 10720.9. What is the f-ratio for this data set? Round to the tenths place. 5.3 Question at position 19 19

5 points Question 19 is unpinned. Click to pin. Question at position 19 Is the finding for the above question significant? No, the finding is not statistically significant because the p-value is less than .05. No, the finding is not statistically significant because the p-value is greater than .05. Yes, the finding is statistically significant because the p-value is less than .05. Yes, the finding is statistically significant because the p-value is greater than .05. Question at position 20 20 5 points Question 20 is unpinned. Click to pin. Question at position 20 You conduct post-hoc analyses because your ANOVA is significant. Your posthoc analyses are as follows: Post Hoc Comparisons - Age Groups Comparison Age Groups Age Groups Mean Difference SE df t p you ng adu lts - mid dle- age d adu lts - 4.6 0 8.9 1 27. 0 - 0.5 16 0.6 10 you ng adu lts - old er adu lts 22. 50 8.9 1 27. 0 2.5 25 0.0 18 mid dle- age d adu lts - old er adu lts 27. 10 8.9 1 27. 0 3.0 41 0.0 05 Correct answer: young adults (M=75.6, SD=23.3) to older adults (M=53.1, SD=19.0)

Quiz 4 ANOVA

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