Homework Help is Here – Start Your Trial Now!
Math
Statistics
(10) The dotpiot below is a randomization distribution of 3,000 randomization sample differences in means based on the following hypotheses: Ho Hc-N = 0 VS. Ha: Hc-N> 0, where pc is mean number of finger taps per minute for a person on caffeine, and μN is mean number of finger taps per minute for a person not on caffeine. Randomization Dotplot of 1-₂, Null hypothesis: ##2 Left Tall Two Tall Right Tail 200 (b) 150 100 50 -1 IC-IN = 2. 3 IC-IN = -1, samples 1000 men-025 std error-1.307 null 0 (a) Are the following sample differences in means reasonably likely to occur, fairly unlikely to occur, or extremely unlikely to occur just by random chance, if the null hypothesis were true? CN=-4, 5 4 IcIN = 7 Use the dotplot to estimate the p-value of an observed sample statistic of (c) Using a 5% significance level, what is your formal conclusion based on the p-value you found in part (b)?

(10) The dotpiot below is a randomization distribution of 3,000 randomization sample differences in means based on the following hypotheses: Ho Hc-N = 0 VS. Ha: Hc-N> 0, where pc is mean number of finger taps per minute for a person on caffeine, and μN is mean number of finger taps per minute for a person not on caffeine. Randomization Dotplot of 1-₂, Null hypothesis: ##2 Left Tall Two Tall Right Tail 200 (b) 150 100 50 -1 IC-IN = 2. 3 IC-IN = -1, samples 1000 men-025 std error-1.307 null 0 (a) Are the following sample differences in means reasonably likely to occur, fairly unlikely to occur, or extremely unlikely to occur just by random chance, if the null hypothesis were true? CN=-4, 5 4 IcIN = 7 Use the dotplot to estimate the p-value of an observed sample statistic of (c) Using a 5% significance level, what is your formal conclusion based on the p-value you found in part (b)?

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
Please help and show work on paper
The dotplot below is a randomization distribution of 3,000 randomization sample differences in means based on the following hypotheses: \[H_0: \mu_C - \mu_N = 0\] vs. \[H_a: \mu_C - \mu_N > 0\], where \(\mu_C\) is the mean number of finger taps per minute for a person on caffeine, and \(\mu_N\) is the mean number of finger taps per minute for a person not on caffeine. The graph presented is a dotplot titled "Randomization Dotplot of \(\bar{x}_C - \bar{x}_N\), Null hypothesis: \(\mu_1 = \mu_2\)." It has the following features: - The x-axis represents the difference in sample means, ranging from -4 to 4. - The y-axis represents frequency, with counts up to 200. - The distribution is approximately normal, centered around 0, with a mean of -0.0057 and a standard error of 0.197. (a) Are the following sample differences in means reasonably likely to occur, fairly unlikely to occur, or extremely unlikely to occur just by random chance, if the null hypothesis were true? \[ \bar{x}_C - \bar{x}_N = -4, \quad \bar{x}_C - \bar{x}_N = -1, \quad \bar{x}_C - \bar{x}_N = 7 \] (b) Use the dotplot to estimate the p-value of an observed sample statistic of \(\bar{x}_C - \bar{x}_N = 2\). (c) Using a 5% significance level, what is your formal conclusion based on the p-value you found in part (b)?
Transcribed Image Text:The dotplot below is a randomization distribution of 3,000 randomization sample differences in means based on the following hypotheses: \[H_0: \mu_C - \mu_N = 0\] vs. \[H_a: \mu_C - \mu_N > 0\], where \(\mu_C\) is the mean number of finger taps per minute for a person on caffeine, and \(\mu_N\) is the mean number of finger taps per minute for a person not on caffeine. The graph presented is a dotplot titled "Randomization Dotplot of \(\bar{x}_C - \bar{x}_N\), Null hypothesis: \(\mu_1 = \mu_2\)." It has the following features: - The x-axis represents the difference in sample means, ranging from -4 to 4. - The y-axis represents frequency, with counts up to 200. - The distribution is approximately normal, centered around 0, with a mean of -0.0057 and a standard error of 0.197. (a) Are the following sample differences in means reasonably likely to occur, fairly unlikely to occur, or extremely unlikely to occur just by random chance, if the null hypothesis were true? \[ \bar{x}_C - \bar{x}_N = -4, \quad \bar{x}_C - \bar{x}_N = -1, \quad \bar{x}_C - \bar{x}_N = 7 \] (b) Use the dotplot to estimate the p-value of an observed sample statistic of \(\bar{x}_C - \bar{x}_N = 2\). (c) Using a 5% significance level, what is your formal conclusion based on the p-value you found in part (b)?
Expert Solution
Step 1

Given information:

H0: μC-μN=0HA: μC-μN>0

steps

Step by step

Solved in 4 steps

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