Peeler Subject A B 1 2-33 2-34 2 2-76 2.79 3 1-91 1.91 4 2.62 2.60 5 2.01 2-03 6 1-77 1.80 7 1-81 1-81 8 1.99 2.00 9 1-97 1.98 10 2-26 2.30 Use Student's t-test, at the 5% level of significance, to test whether the peelers differ in their efficiency 23

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Chapter1: Starting With Matlab
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4B.5
An experiment was conducted to compare the performance of two potato peelers, and in
particular to discover whether the typical user might be able to peel potatoes faster with one
rather than the other. Ten volunteers were used, and each was given both peelers for a period
before the experiment in order to gain familiarity with them. In the experiment the volunteer
subjects used both peelers on standardised amounts of potatoes, and then repeated the
experiment with the peelers used in the opposite order, so as to eliminate any effect due to
ordering. The table below gives, for each subject, the mean of the natural logarithms of time
(in seconds) needed to complete the tasks.
Subject
Peeler
A B
1
2.33 2.34
2
2.76
2-79
3
1.91 1.91
4
2.62 2.60
5
2.01
2.03
6
1.77
1.80
7
1.81
1.81
8
1.99
2.00
9
1.97
1.98
10
2-26 2.30
Use Student's t-test, at the 5% level of significance, to test whether the peelers differ in their
efficiency.
Transcribed Image Text:4B.5 An experiment was conducted to compare the performance of two potato peelers, and in particular to discover whether the typical user might be able to peel potatoes faster with one rather than the other. Ten volunteers were used, and each was given both peelers for a period before the experiment in order to gain familiarity with them. In the experiment the volunteer subjects used both peelers on standardised amounts of potatoes, and then repeated the experiment with the peelers used in the opposite order, so as to eliminate any effect due to ordering. The table below gives, for each subject, the mean of the natural logarithms of time (in seconds) needed to complete the tasks. Subject Peeler A B 1 2.33 2.34 2 2.76 2-79 3 1.91 1.91 4 2.62 2.60 5 2.01 2.03 6 1.77 1.80 7 1.81 1.81 8 1.99 2.00 9 1.97 1.98 10 2-26 2.30 Use Student's t-test, at the 5% level of significance, to test whether the peelers differ in their efficiency.
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