A clinical trial was planned to compare the effect of a new active treatment with that of the standard treatment. Before they started the trial, the 11 subjects who were to receive the new treatment had scores with a sample standard deviation of 6.9, whereas the 9 subjects who were to receive the standard treatment had scores with a sample standard deviation of 5.2. (a) Carry out an appropriate hypothesis test to determine whether the populations from which the two samples are drawn have the same variance. State all the details for your hypothesis test clearly. (b) State clearly the assumptions you need for your test to be valid. (c) Calculate a 95% confidence interval for the ratio of the variances, stating clearly the ratio you are using.

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A clinical trial was planned to compare the effect of a new active treatment with that of the
standard treatment. Before they started the trial, the 11 subjects who were to receive the
new treatment had scores with a sample standard deviation of 6.9, whereas the 9 subjects
who were to receive the standard treatment had scores with a sample standard deviation
of 5.2.
(a) Carry out an appropriate hypothesis test to determine whether the populations from
which the two samples are drawn have the same variance. State all the details for your
hypothesis test clearly.
(b) State clearly the assumptions you need for your test to be valid.
(c) Calculate a 95% confidence interval for the ratio of the variances, stating clearly the
ratio you are using.
Transcribed Image Text:A clinical trial was planned to compare the effect of a new active treatment with that of the standard treatment. Before they started the trial, the 11 subjects who were to receive the new treatment had scores with a sample standard deviation of 6.9, whereas the 9 subjects who were to receive the standard treatment had scores with a sample standard deviation of 5.2. (a) Carry out an appropriate hypothesis test to determine whether the populations from which the two samples are drawn have the same variance. State all the details for your hypothesis test clearly. (b) State clearly the assumptions you need for your test to be valid. (c) Calculate a 95% confidence interval for the ratio of the variances, stating clearly the ratio you are using.
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