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In: Statistics and Probability

questions 1-5 are based on scenario 1: Does public speaking stress you out? How much does...

questions 1-5 are based on scenario 1: Does public speaking stress you out? How much does it stress you out? Many researchers are interested in studying how people respond to stressful social situations. One study brought participants into a laboratory, measured their cortisol (stress hormone) levels when they first arrived, made them give a speech in front of a group of strangers with only 5 minutes to prepare, and then measured their cortisol levels again to see if they had changed.

1. Which of the following is the null hypothesis for scenario 1?

cortisol levels before the speech > cortisol levels after the speech

cortisol levels before the speech = cortisol levels after the speech

2. Which of the following is the alternative hypothesis for scenario 1?

Cortisol levels before the speech > cortisol levels after the speech

cortisol levels before the speech = cortisol levels after the speech

3. Which of the following is the independent variable?

The speech

Cortisol Levels

There is no independent variable in this study

The laboratory

The participants

4. Which of the following is the dependent variable

The laboratory

Cortisol levels

There is no dependent variable in this study

The participants

The speech

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Question 51 pts

5. What is the best statistical test to use to test the hypothesis in scenario 1?

F-test

T-test for the significance of the correlation coefficient

Independent sample t-Test

One-way ANOVA

P-test

Regression Analysis

Correlation Coefficient

Dependent sample t-Test

z-score

z-Test

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The following question is based on scenario 2: Researchers are interested in seeing how sitting for long periods of time can influence cardiovascular health. They ask people how many hours per day they sit, and then they measure their blood pressure to see if they are associated. They expect that as hours spent sitting increases, blood pressure will also increase.

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Question 61 pts

6. What is the best statistical test to use to analyze the hypothesis in scenario 2?

Structural Equation Model

Independent sample t-Test

One-way ANOVA

z-test

Correlation Coefficient

Dependent sample t-Test

Factor Analysis

z-score

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Question 70.5 pts

7. Which of the following is the null hypothesis for scenario 2?

Ho: µ1 = µ2 = µ3

rxy = 0

H0: X = µ

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Scenario 3. A 5th grade school teacher believes that she has an exceptionally gifted group of students in her class this year. She learns that the national average score on the 5th grade annual test is 150, with a standard deviation of 30. She wants to compare her student’s scores to the national average.

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Question 80.5 pts

8. What is the null hypothesis for scenario 3?

HO: µ1 = µ2

r = 0

HO: µ1 = µ2 =µ3

H0: X = µ

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Question 90.5 pts

9. What is the alternative hypothesis for scenario 3?

H1: X1 ≠ X2 ≠ X3

r ≠ 0

H1: m1 < m2

H1: X ≠ µ

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Question 101 pts

10. What is the appropriate test statistic to use for scenario 3?

z-test

correlation coefficient

independent samples t-test

dependent samples t-test

regression

One-way ANOVA

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The following 4 questions refer to Scenario 4. Generally speaking, people are pretty bad at telling whether or not someone is lying. Researchers are interested in studying if age is associated with ability to tell if someone is lying. Researchers compare a group of children (ages 8-10), adolescents (ages 14-17), and adults (ages 25-45) on their ability to tell if a person in a recorded video is lying or telling the truth.

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Question 110.5 pts

11. What is the null hypothesis for scenario 4?

HO: µposttest = µpretest

H0: X = µ

HO: µ1 = µ2 =µ3

r = 0

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Question 120.5 pts

12. What is the independent variable for scenario 4?

how much children can tell if you are lying

the participants

ability to detect lies

age group (children vs adolescents vs adults)

There is no independent variable in this study

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Question 130.5 pts

13. What is the dependent variable for scenario 4?

the participants

how much children can tell if you are lying

age group (children vs adolescents vs adults)

ability to detect lies

There is no dependent variable in this study

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Question 141 pts

14. What is the most appropriate test statistic to use to test the hypothesis in scenario 4?

z-score

regression

z-test

one way ANOVA

independent samples t-test

dependent samples t test

correlation coefficient

15. How would you report the results of t-test that is statistically significant in the results section of an empirical journal?

t= 4.00, p < .05

t(38) = 4.00, p < .05

T-test value = 4.00, p < .05

t(2, 38) = 4.00, p < .05

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Question 160.5 pts

16. How would you report the results of an ANOVA (F-test) that is statistically significant in the results section of an empirical journal?

f(2, 38) = p < .05

F(2,38) = 4.00, p < .05

F (38) = 4.00, p < .05

F= 4.00, p < .05

Solutions

Expert Solution

1. Which of the following is the null hypothesis for scenario 1?

cortisol levels before the speech = cortisol levels after the speech

2. Which of the following is the alternative hypothesis for scenario 1?

Cortisol levels before the speech > cortisol levels after the speech

\3. Which of the following is the independent variable?

The speech

4. Which of the following is the dependent variable

Cortisol levels

5. What is the best statistical test to use to test the hypothesis in scenario 1?

Dependent sample t-Test

6. What is the best statistical test to use to analyze the hypothesis in scenario 2?

Correlation Coefficient

7. Which of the following is the null hypothesis for scenario 2?

rxy = 0

8. What is the null hypothesis for scenario 3?

H0: X = µ

9. What is the alternative hypothesis for scenario 3?

H1: X ≠ µ

10. What is the appropriate test statistic to use for scenario 3?

z-test

11. What is the null hypothesis for scenario 4?

HO: µ1 = µ2 =µ3

12. What is the independent variable for scenario 4?

age group (children vs adolescents vs adults)

13. What is the dependent variable for scenario 4?

ability to detect lies

14. What is the most appropriate test statistic to use to test the hypothesis in scenario 4?

one way ANOVA

15. How would you report the results of t-test that is statistically significant in the results section of an empirical journal?

t(38) = 4.00, p < .05

16. How would you report the results of an ANOVA (F-test) that is statistically significant in the results section of an empirical journal?

F(2,38) = 4.00, p < .05


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