Homework Help is Here – Start Your Trial Now!
Math
Statistics
(d) Compute the t-statistic for our sample data. Show work. Attach R code if used. (e) Over repeated samples, which distribution does the t-statistic follow assuming Ho is true? (Hint: include the degrees of freedom). (f) Compute the p-value. Show work and attach R code.

(d) Compute the t-statistic for our sample data. Show work. Attach R code if used. (e) Over repeated samples, which distribution does the t-statistic follow assuming Ho is true? (Hint: include the degrees of freedom). (f) Compute the p-value. Show work and attach R code.

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
See similar textbooks
icon
Related questions
Question

Do the parts d, e, f, g, h and i of the question only 

 

t

In a Stroop test, participants are presented with a list of color words, with each word displayed in an ink color. The participant's task is to say out loud the ink color in which the word is printed. The task has two conditions: a congruent words condition, and an incongruent words condition. In the congruent condition, the color of the word matches the spelling of the printed word; but in the incongruent condition, the color of the word does not match the spelling of the printed word. Each participant usually participates in both conditions. I have uploaded a Stroop test dataset of 24 participants the file name being stroopdata.csv. The dataset shows the time (in seconds) it took for each participant to complete the task in each condition. In this question, you will need to conduct the appropriate t-test for this dataset. (a) Before doing the hypotheses testing, let's first compute some descriptive statis- tics and visualize the data using graphs. What are the sample means and sample standard deviation for each of the conditions? Use hist() function to graph the frequency distribution for the sample data in each condition. Which condition gen- erally took the participants longer to complete? Attach the graphs and R. code. (b) Which one is a more appropriate test for this data set, paired sample t-test or independent-samples t-test? Explain. (c) State the null and alternative hypotheses. Assume that we are doing a directional test. (d) Compute the t-statistic for our sample data. Show work. Attach R code if used. (e) Over repeated samples, which distribution does the t-statistic follow assuming Ho is true? (Hint: include the degrees of freedom). (f) Compute the p-value. Show work and attach R code. (g) How do you interpret the p-value? (h) Suppose a = 0.05. Can you reject the null? What is your conclusion? (i) Using the same a level, compute the upper critical t-value. What is the upper critical t-value? Based on the upper critical t-value, can you reject the null? Attach R code. (j) Use t.test function conduct the t-test. Do you obtain the same p-value? Attach the code.
Transcribed Image Text:In a Stroop test, participants are presented with a list of color words, with each word displayed in an ink color. The participant's task is to say out loud the ink color in which the word is printed. The task has two conditions: a congruent words condition, and an incongruent words condition. In the congruent condition, the color of the word matches the spelling of the printed word; but in the incongruent condition, the color of the word does not match the spelling of the printed word. Each participant usually participates in both conditions. I have uploaded a Stroop test dataset of 24 participants the file name being stroopdata.csv. The dataset shows the time (in seconds) it took for each participant to complete the task in each condition. In this question, you will need to conduct the appropriate t-test for this dataset. (a) Before doing the hypotheses testing, let's first compute some descriptive statis- tics and visualize the data using graphs. What are the sample means and sample standard deviation for each of the conditions? Use hist() function to graph the frequency distribution for the sample data in each condition. Which condition gen- erally took the participants longer to complete? Attach the graphs and R. code. (b) Which one is a more appropriate test for this data set, paired sample t-test or independent-samples t-test? Explain. (c) State the null and alternative hypotheses. Assume that we are doing a directional test. (d) Compute the t-statistic for our sample data. Show work. Attach R code if used. (e) Over repeated samples, which distribution does the t-statistic follow assuming Ho is true? (Hint: include the degrees of freedom). (f) Compute the p-value. Show work and attach R code. (g) How do you interpret the p-value? (h) Suppose a = 0.05. Can you reject the null? What is your conclusion? (i) Using the same a level, compute the upper critical t-value. What is the upper critical t-value? Based on the upper critical t-value, can you reject the null? Attach R code. (j) Use t.test function conduct the t-test. Do you obtain the same p-value? Attach the code.
Congruent Incongruent 12.079 16.791 9.564 8.630 14.669 12.238 14.692 8.987 9.401 14.480 22.328 15.298 15.073 16.929 18.200 12.130 18.495 10.639 11.344 12.369 12.944 14.233 19.710 16.004 19.278 18.741 21.214 15.687 22.803 20.878 24.572 17.394 20.762 26.282 24.524 18.644 17.510 20.330 35.255 22.158 25.139 20.429 17.425 34.288 23.894 17.960 22.058 21.157
Transcribed Image Text:Congruent Incongruent 12.079 16.791 9.564 8.630 14.669 12.238 14.692 8.987 9.401 14.480 22.328 15.298 15.073 16.929 18.200 12.130 18.495 10.639 11.344 12.369 12.944 14.233 19.710 16.004 19.278 18.741 21.214 15.687 22.803 20.878 24.572 17.394 20.762 26.282 24.524 18.644 17.510 20.330 35.255 22.158 25.139 20.429 17.425 34.288 23.894 17.960 22.058 21.157
Expert Solution
steps

Step by step

Solved in 2 steps with 6 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS