A local health centre noted that in a sample of 400 patients, 80 were referred to them by the local
hospital.
a. Provide a 95% confidence interval for all the patients who are referred to the health centre by
the hospital. (5 marks)
b. What sample size would be required to estimate the proportion of all hospital referrals to the
health centre with a margin of error of 0.04 or less at 95% confidence? (5 marks)
Week 8
Question 1 (10 marks)
The average starting salary of students who graduated from colleges of Business in 2009 was $48,400.
A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard
deviation of the population is known to be $8000. We want to determine whether or not there has
been a significant increase in the starting salaries.
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