Using the difference table provided, calculate the t statistic, the degree of freedom and the critical t value (s) of the sample. Hint: The difference score is calculated as (age 80 minus age 70), so a negative number indicates adecline in memory performance, which is the researcher's hypothesis.Subject12345678910Difference score(Age 80-Age 70)-4-5-20-1-2-21-1-2

Solution: Let d= Difference score (Age 80 - Age 70) d (d-d) (d-d)2 -4 -2.2 4.84 -5 -3.2…

Answered: Using the difference table provided,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Using the difference table provided, calculate the t statistic, the degree of freedom and the critical t value (s) of the sample.

Hint: The difference score is calculated as (age 80 minus age 70), so a negative number indicates a
decline in memory performance, which is the researcher's hypothesis.
Subject
1
2
3
4
5
6
7
8
9
10
Difference score
(Age 80-Age 70)
-4
-5
-2
0
-1
-2
-2
1
-1
-2

Expert Solution

Step 1

Solution:

Let d= Difference score (Age 80 - Age 70)

d	$(d - d)$	${(d - d)}^{2}$
-4	-2.2	4.84
-5	-3.2	10.24
-2	-0.2	0.04
0	1.8	3.24
-1	0.8	0.64
-2	-0.2	0.04
-2	-0.2	0.04
1	2.8	7.84
-1	0.8	0.64
-2	-0.2	0.04

n= 10 Sample size

$d = \frac{\sum_{} d}{n} = \frac{- 18}{10} = - 1.8 D i f f e r e n c e o f s a m p l e m e a n s_{d} = \sqrt{\frac{\sum_{} {(d - d)}^{2}}{n - 1}} s_{d} = \sqrt{\frac{27.6}{9}} s_{d} = 1.7512 D i f f e r e n c e o f s a m p l e s \tan d a r d d e v i a t i o n$