STATS 211 Bishops University Confidence Interval Construction & Proportion Estimate

Question Description

A sample of 20 full-time students is taken at Bishop’s and the age andgender of each student is recorded. A mean age of 20.2 years with a standarddeviation of 0.5 year is found. Using the same sample, it is also found that 13 ofthe 20 students are female.

1. Construct the 99% confidence interval for the mean age of full-timestudents at Bishop’s.
2. Estimate at the 95% level the proportion of female full-time students atBishop’s. Can you conclude that there are more female full-time studentsthan male full-time students at Bishop’s?
3. Should either or both of these confidence interval have been constructedbased on the information given? Why or why not?

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