Table 5 shows the data regarding the overall results for statistics class for FIVE (5) randomly selected students from each of the THREE (3) batches. Does this data provide evidence that there is any significant difference in the results throughout all the batches? Test the appropriate hypothesis using 95% significance level. (Note: please provide your answer in 3 d.p.) Table 5 Batch 1 Batch 2 Batch 3 88.5 71.5 73.5 80.0 77.3 72.1 74.5 69.3 78.4 74.3 78.1 95.4 88.0 88.4 77.1 Hypothesis statement: Họ: H1FH2=P3 Hj: at least one mean is different 1) Find the parameters for each batch: Batch 1: nj=5, ã1 S1= Batch 2: n2=5, a2= S2= Batch 3: n3=5, x3= S3= 2) Find the variance between samples, ns ns = ÷ 3 = S = %3D 3) Find variance within samples, s: ÷ 3 = 4) Test statistics: F = 5) Determine the degree of freedom Numerator Denominator = 6) Critical value: 7) Decision and conclusion: a)Reject H0,There is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches )Reject H0, There is no sufficient evidence to claim that at least 1 mean is different throughout the 3 batches )Fail Reject H0,there is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches )Reject H0,there is no sufficient evidence to claim that at least 1 mean is different throughout the 3batches
Table 5 shows the data regarding the overall results for statistics class for FIVE (5) randomly selected students from each of the THREE (3) batches. Does this data provide evidence that there is any significant difference in the results throughout all the batches? Test the appropriate hypothesis using 95% significance level. (Note: please provide your answer in 3 d.p.) Table 5 Batch 1 Batch 2 Batch 3 88.5 71.5 73.5 80.0 77.3 72.1 74.5 69.3 78.4 74.3 78.1 95.4 88.0 88.4 77.1 Hypothesis statement: Họ: H1FH2=P3 Hj: at least one mean is different 1) Find the parameters for each batch: Batch 1: nj=5, ã1 S1= Batch 2: n2=5, a2= S2= Batch 3: n3=5, x3= S3= 2) Find the variance between samples, ns ns = ÷ 3 = S = %3D 3) Find variance within samples, s: ÷ 3 = 4) Test statistics: F = 5) Determine the degree of freedom Numerator Denominator = 6) Critical value: 7) Decision and conclusion: a)Reject H0,There is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches )Reject H0, There is no sufficient evidence to claim that at least 1 mean is different throughout the 3 batches )Fail Reject H0,there is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches )Reject H0,there is no sufficient evidence to claim that at least 1 mean is different throughout the 3batches
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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Transcribed Image Text:Table 5 shows the data regarding the overall results for statistics class for FIVE (5) randomly
selected students from each of the THREE (3) batches. Does this data provide evidence that
there is any significant difference in the results throughout all the batches? Test the
appropriate hypothesis using 95% significance level. (Note: please provide your answer in 3
d.p.)
Table 5
Batch 1
Batch 2
Batch 3
88.5
71.5
73.5
80.0
77.3
72.1
74.5
69.3
78.4
74.3
78.1
95.4
88.0
88.4
77.1
Hypothesis statement:
Ho: H1FH2=µ3
Hj: at least one mean is different
1) Find the parameters for each batch:
Batch 1: nj=5, x1
$1=
Batch 2: n2=5, x2=
S2=
Batch 3: n3=5, x3=
S3=
2.
2) Find the variance between samples, ns:
ns?
÷ 3 =
2.
3) Find variance within samples, s:
.2
S
÷ 3 =
4) Test statistics:
F =
5) Determine the degree of freedom
Denominator
Numerator
6) Critical value:
7) Decision and conclusion:
a)Reject H0,There is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches
b)Reject H0, There is no sufficient evidence to claim that at least 1 mean is different throughout the 3 batches
c)Fail Reject H0,there is sufficient evidence to claim that at least 1 mean is different throughout the 3 batches
d)Reject H0,there is no sufficient evidence to claim that at least 1 mean is different throughout the 3batches
N 18
II
18
II
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