Two groups A and B consisting of 10 and 15 individuals respectively were tested of the two types of sleeping pills. The

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Two groups A and B consisting of 10 and 15 individuals
respectively were tested of the
two types of sleeping pills. The first group (A) was given a new
type of sleeping pill and
the second group (B) was given a conventional type. For the
patients in group A the
mean number of hours of sleep was 7.82 with a standard deviation of
0.24 hours. For
patients in group B, the mean number of hours of sleep was 6.75
with a standard
deviation of 0.30 hours. Find 95% confidence limits for the
difference in the mean
number of hours of sleep induced by the two types of sleeping
pills. Interpret this
interval.