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2.
To study the attitude of mother and father towards their daughter participating
in the outdoor games, a sample of 200 fathers and 250 mothers was investigated.
In these two samples, 120 fathers and 50 mothers preferred their daughter to go
for outdoor activities. Can it be concluded at a=0.01 level of significance that the
proportion of father is significantly higher than that of mother in preferring their
daughters for outdoor activities?
3.
A firm has a generous but rather complicated policy concerning end-of-year
bonuses for its lower-level managerial personnel. The policy's key factor is a
subjective judgment of "contribution to corporate goals." A personnel officer took
samples of 24 female and 36 male managers to see whether there was any
difference in bonuses, expressed as a percentage of yearly salary. The data are
listed here:
Gender Bonus Percentage
Female 9.2, 7.7, 11.9, 6.2, 9.0, 8.4, 6.9, 7.6, 7.4, 8.0, 9.9, 6.7, 8.4, 9.3, 9.1, 8.7, 9.2,
9.1, 8.4, 9.6, 7.7, 9.0, 9.0, 8.4
10.4, 8.9, 11.7, 12.0, 8.7, 9.4, 9.8, 9.0, 9.2, 9.7, 9.1, 8.8, 7.9, 9.9, 10.0, 10.1,
9.0, 11.4, 8.7, 9.6, 9.2, 9.7, 8.9, 9.2, 9.4, 9.7, 8.9, 9.3, 10.4, 11.9, 9.0, 12.0,
9.6, 9.2, 9.9, 9.0
(1) Is there significant evidence that the mean bonus percentage for males is
larger than the mean bonus percentage for females? Use a a=0.05.
(2) Estimate the difference in the mean bonus percentages for males and females
using a 95% confidence interval.
Male
