Sample Question 1. Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid. The ages of 25 senior citizens were as follows:
60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92
Referring to the information presented above, compute the: i. median age of the senior citizens. ii. first quartile of the ages of the senior citizens.
Sample Question 2. A campus program evenly enrols undergraduate and graduate students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet on the ground floor of the campus building, what is the probability that all 4 students selected are undergraduate students? Explain your answer.
Sample Question 3. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute. Determine the probability that a randomly selected college student will find a parking spot in the library poking lot in less than 3 minutes.
Sample Question 4. A hotel chain wants to estimate the mean number of rooms rented daily in a given month. The population of rooms rented daily is assumed to be normally distributed for each month with a standard deviation of 240 rooms. During February, a sample of 25 days has a sample mean of 370 rooms.
Construct a 95% confidence interval for the mean number of rooms rented daily in a given month.
Sample Question S. An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625.
If you test the null hypothesis at the 0.05 level of significance, is there evidence that the daily mean revenue was $675? Explain your answer.