Brain waves An experiment was performed to seewhether sensory deprivation over an extended period oftime has any effect on the alpha-wave patterns producedby the brain. To determine this, 20 subjects, inmates in aCanadian prison, were randomly split into two groups. Members of one group were placed in solitary confine-ment. Those in the other group were allowed to remain in their own cells. Seven days later, alpha-wave frequencieswere measured for all subjects, as shown in the followingtable. (P. Gendreau et al., “Changes in EEG AlphaFrequency and Evoked Response Latency DuringSolitary Confinement,” Journal of Abnormal Psychology79 [1972]: 54–59)a) What are the null and alternative hypotheses? Be sureto define all the terms and symbols you use.b) Are the assumptions necessary for inference met?c) Perform the appropriate test, indicating the formulayou used, the calculated value of the test statistic, thedf, and the P-value.d) State your conclusion. Nonconfined Confined10.7 9.610.7 10.410.4 9.710.9 10.310.5 9.210.3 9.39.6 9.911.1 9.511.2 9.010.4 10.9

Practical Management Science
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Author:WINSTON, Wayne L.
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Brain waves An experiment was performed to see
whether sensory deprivation over an extended period of
time has any effect on the alpha-wave patterns produced
by the brain. To determine this, 20 subjects, inmates in a
Canadian prison, were randomly split into two groups.
Members of one group were placed in solitary confine-
ment. Those in the other group were allowed to remain in
their own cells. Seven days later, alpha-wave frequencies
were measured for all subjects, as shown in the following
table. (P. Gendreau et al., “Changes in EEG Alpha
Frequency and Evoked Response Latency During
Solitary Confinement,” Journal of Abnormal Psychology
79 [1972]: 54–59)a) What are the null and alternative hypotheses? Be sure
to define all the terms and symbols you use.
b) Are the assumptions necessary for inference met?
c) Perform the appropriate test, indicating the formula
you used, the calculated value of the test statistic, the
df, and the P-value.
d) State your conclusion.
Nonconfined Confined
10.7 9.6
10.7 10.4
10.4 9.7
10.9 10.3
10.5 9.2
10.3 9.3
9.6 9.9
11.1 9.5
11.2 9.0
10.4 10.9
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