a) The length of time patients must wait to see a doctor at an emergency room in a large hospital is uniformly distributed between 20 minutes and 180 minutes. Calculate the probability that a patient would have to wait between 30 minutes and 120 minutes?
b) A pharmaceutical company interested in measuring how often physicians prescribe a certain drug has selected a simple random sample from each of two groups: M.D. (Medical Doctors) and D.O. (Doctors of Osteopathic). What is this type of sampling called?
c) Consider an infinite population with a mean of 160 and a standard deviation of 25. A random sample of size 64 is taken from this population. Find the mean and standard deviation of the sample mean?
d) A statistician wants to estimate the mean weekly family expenditure on clothes. He believes that the standard deviation of the weekly expenditure is $120. Determine with 99% confidence the number of families that must be sampled to estimate the mean weekly family expenditure on clothes to within $16.
e) A retailer at a shopping mall wants to understand how many competitor shopping bags enter his store from shoppers within the local mall. The owner asks one of his employees to count and record the number of shopping bags that come from competitive stores within the same mall that enter his store. This method of data collection is called
f) There’s been a longstanding debate within the HR community as to whether, or not, there’s a difference in the effort put forth by employees with bachelor’s degrees as compared with those employees holding masters. As a newly designated CHRP, your manager has asked you to answer a couple of questions for her meeting later today.
In reviewing your company’s records over the past 5 years, you select 9 undergrad degree holders and 9 with master’s degrees. You determine that those with a master’s degree work an average of 56 hours per week, while those with bachelor’s degrees work a weekly average of 50. You calculate the standard deviation for master’s degree holders is 12 hrs/week, but for those with bachelor’s degrees it is 10 hrs/week. What is the probability that employees with master’s degrees do in fact work longer than those holding undergrad degrees?