[1] Test using independent and dependent t-test. (Show complete steps). May encode or handwritten. (Choose one t-test that is fit for the problem. Refer to the photo below) The average amount of time boys and girls ages 7 through 11 spend playing sports each day is believed to be the same. An experiment is done; data is collected, resulting in the table below: Sample Size Average No. of hours playing sports per day Sample Standard deviation Girls 9 2 hours 0.75 Boys 16 3.2 hours 1.00 Is there a difference in the average amount of time boys and girls ages 7 through 11 play sports each day? Test at a 5% level of significance
[1] Test using independent and dependent t-test. (Show complete steps). May encode or handwritten. (Choose one t-test that is fit for the problem. Refer to the photo below) The average amount of time boys and girls ages 7 through 11 spend playing sports each day is believed to be the same. An experiment is done; data is collected, resulting in the table below: Sample Size Average No. of hours playing sports per day Sample Standard deviation Girls 9 2 hours 0.75 Boys 16 3.2 hours 1.00 Is there a difference in the average amount of time boys and girls ages 7 through 11 play sports each day? Test at a 5% level of significance
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
[1] Test using independent and dependent t-test. (Show complete steps). May encode or handwritten. (Choose one t-test that is fit for the problem. Refer to the photo below)
The average amount of time boys and girls ages 7 through 11 spend playing sports each day is believed to be the same. An experiment is done; data is collected, resulting in the table below:
| Average No. of hours playing sports per day | Sample Standard deviation | ||
| Girls | 9 | 2 hours | 0.75 |
| Boys | 16 | 3.2 hours | 1.00 |
Is there a difference in the average amount of time boys and girls ages 7 through 11 play sports each day? Test at a 5% level of significance.
![INDEPENDENT / DEPENDENT T-TEST
T-TEST ONE SAMPLE MEAN
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance. (use a = 1% = 0.01)
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
tcomputed =
STEP 5: Make the decision.
Example:
The (tcomputed = -4.00|>|tcritical = ±2.947|
Since the |tcomputed| is greater than the |tcritical|, we shall reject the null
hypothesis (Ho) and accept the alternative hypothesis (Ha).
STEP 6: State the conclusion.
Example:
At 1% level of significance with df = 15, the arithmetic mean grade of 100
obtained by medical practitioners is not true.
T-TEST ONE SAMPLE MEAN (GOSETT T-TEST)
ž1-x2
t =
Ts1 (n1–1)]+[s2°(n2-1)]
[ni+n2] – 2
[무
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
ã1-x2
t =
[s1 (n1–1)]+[s2°(n2-1)]
[n1+n2] – 2
n1
STEP 5: Make the decision.
STEP 6: Draw a conclusion.
PAIRED T-TEST (DEPENDENT T-TEST)
STEP 1: State the null and the alternative hypotheses.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute for t-static.
STEP 5: Make the decision.
STEP 6: Conclusion](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba85d044-d3e1-4242-b451-cd6dbefb346e%2F9a9e0d04-1bf3-4581-95df-6c0b4820cd7b%2F7pjnjf6_processed.png&w=3840&q=75)
Transcribed Image Text:INDEPENDENT / DEPENDENT T-TEST
T-TEST ONE SAMPLE MEAN
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance. (use a = 1% = 0.01)
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
tcomputed =
STEP 5: Make the decision.
Example:
The (tcomputed = -4.00|>|tcritical = ±2.947|
Since the |tcomputed| is greater than the |tcritical|, we shall reject the null
hypothesis (Ho) and accept the alternative hypothesis (Ha).
STEP 6: State the conclusion.
Example:
At 1% level of significance with df = 15, the arithmetic mean grade of 100
obtained by medical practitioners is not true.
T-TEST ONE SAMPLE MEAN (GOSETT T-TEST)
ž1-x2
t =
Ts1 (n1–1)]+[s2°(n2-1)]
[ni+n2] – 2
[무
STEP 1: State the null and the alternative hypothesis.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute the value of the tcomputed.
ã1-x2
t =
[s1 (n1–1)]+[s2°(n2-1)]
[n1+n2] – 2
n1
STEP 5: Make the decision.
STEP 6: Draw a conclusion.
PAIRED T-TEST (DEPENDENT T-TEST)
STEP 1: State the null and the alternative hypotheses.
STEP 2: Specify the level of significance.
STEP 3: Determine the test static to be used and the degree of freedom (df).
STEP 4: Compute for t-static.
STEP 5: Make the decision.
STEP 6: Conclusion
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman