The competitors in the 'under 16' age group think the triathlon course was particularly difficult compared with previous events and so the mean time to complete this event was slower than usual. They claim that the population mean time to complete the triathlon for the under 16 age group is 59.5 minutes. The results for the 'under 16' class of competitors have been extracted from the file winter.mwx and saved in a new file under 16.mwx. (a) Write down suitable null and alternative hypotheses to test the theory that the population mean time for under 16's to complete the triathlon is 59.5 minutes. State clearly the meaning of any symbols that you use.
The competitors in the 'under 16' age group think the triathlon course was particularly difficult compared with previous events and so the mean time to complete this event was slower than usual. They claim that the population mean time to complete the triathlon for the under 16 age group is 59.5 minutes. The results for the 'under 16' class of competitors have been extracted from the file winter.mwx and saved in a new file under 16.mwx. (a) Write down suitable null and alternative hypotheses to test the theory that the population mean time for under 16's to complete the triathlon is 59.5 minutes. State clearly the meaning of any symbols that you use.
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
100%
There is a typo
For the bullet point the p-value - a value for CV1 is not required
Transcribed Image Text:1
2
3
4567892
10
11
12
C1
START NUM>>
61
62
63
64
65
66
67
68
69
70
71
72
C2
RUN
22.05
21.58
19.33
20.90
24.25
19.33
20.88
23.17
18.63
17.50
19.03
17.48
C3
T1
0.98
0.92
0.55
0.78
0.83
0.67
0.90
0.83
0.60
0.82
0.63
0.87
C4
CYCLE
21.72
22.27
20.60
24.98
20.67
19.12
22.05
24.17
16.70
17.52
18.77
15.20
Under16.mwx
C5
T2
1.23
1.18
1.33
0.98
1.37
0.80
1.05
1.33
0.82
0.98
0.87
1.20
C6
SKI
21.35
24.45
19.82
22.48
24.03
22.75
22.92
22.17
18.68
19.32
20.18
18.28
C7
TOTAL
67.33
70.40
61.63
70.12
71.15
62.67
67.80
71.67
55.43
56.14
59.48
53.03
C8
ELITE
N
N
N
N
N
N
N
N
N
N
N
Z Z
N
C9
HOME
A
A
H
A
H
A
A
A
A
A
A
H
C10
CLASS
Under 16
Under 16
Under 16
Under 16
Under 16
Under 16
Under 16
Under 16
Under 16
Under 16
Under 16
Under 16
Transcribed Image Text:The competitors in the 'under 16' age group think the triathlon course was
particularly difficult compared with previous events and so the mean time to
complete this event was slower than usual. They claim that the population
mean time to complete the triathlon for the under 16 age group is
59.5 minutes. The results for the 'under 16' class of competitors have been
extracted from the file winter.mwx and saved in a new file under 16.mwx.
(a) Write down suitable null and alternative hypotheses to test the theory
that the population mean time for under 16's to complete the triathlon
is 59.5 minutes. State clearly the meaning of any symbols that you use.
(b) Using the data in under16.mwx, carry out a one-sample t-test to test
the hypotheses that you wrote down in part (a).
In your answer, make sure to include the following:
●
the estimated standard error
●
the value of the test statistic
●
the p-value or the values of CV5 and CV1 A value for ev
●
what conclusions can be drawn from the results of this test.
c) Calculate by hand the 95% confidence interval for the population mean
time taken for under 16s to complete the triathlon based on the t-test.
Show your working.
1) Would a 90% confidence interval for the population mean time taken for
under 16s to complete the triathlon be wider or narrower than the 95%
confidence interval that you calculated in part (c).
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