Hypothesis Testing for the Difference of Dependent Means #3 Test a claim that the mean score of the first attempt by a person, H is less than the mean score of the second attempt by the same person, Hs Note: HA

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question

1.)_Do we reject the null of hypothesis ?

 

2.) State your conclusion in the form of a full statement 

''With a_______level of significance, there is/is not enough of evidence to support the claim that____''

 
K
M
P.
R
Hypothesis Testing for the Difference of Dependent Means
#3 Test a claim that the mean score of the first attempt by a person, is less than the mean score of the second
attempt by the same person, He
Note:
HA <HB is equivalent to a - Hg <0
The population standard deviations are unknown, but assume that they are the equal, thus the variances are also
assumed to be equal.
Ho: Ha – He 2 0
Ha: HA - He < 0 (Claim)
The level of significance is a= 0.01
Transcribed Image Text:K M P. R Hypothesis Testing for the Difference of Dependent Means #3 Test a claim that the mean score of the first attempt by a person, is less than the mean score of the second attempt by the same person, He Note: HA <HB is equivalent to a - Hg <0 The population standard deviations are unknown, but assume that they are the equal, thus the variances are also assumed to be equal. Ho: Ha – He 2 0 Ha: HA - He < 0 (Claim) The level of significance is a= 0.01
D E
| G
A
C
Second score
T Test: Paired Two Sample for Means
First score
300
400
450
520
First score Second score
350
400
Mean
382
442
430
490
Variance
3928.889 5106.667
9.
300
340
Observatic
10
10
470
580
Pearson C 0.921785
8
420
450
Hypothesi
6.
370
400
df
9.
10
320
390
t Stat
-6.80336
11
410
450
P(T<=t) on 3.94E-05
12
t Critical o 2.821438
13
P(T<=t) tw 7.88E-05
14
t Critical tv 3.249836
15
16
17
18
123 4
Transcribed Image Text:D E | G A C Second score T Test: Paired Two Sample for Means First score 300 400 450 520 First score Second score 350 400 Mean 382 442 430 490 Variance 3928.889 5106.667 9. 300 340 Observatic 10 10 470 580 Pearson C 0.921785 8 420 450 Hypothesi 6. 370 400 df 9. 10 320 390 t Stat -6.80336 11 410 450 P(T<=t) on 3.94E-05 12 t Critical o 2.821438 13 P(T<=t) tw 7.88E-05 14 t Critical tv 3.249836 15 16 17 18 123 4
Expert Solution
Step 1

From the provided information,

The hypotheses are as follow:

H0: µA - µB ≥ 0

Ha: µA - µB < 0 (claim)

Level of significance (α) = 0.01

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