Normal and Sampling Distributions QUIZ Q1. A study measured the amount of consultation time physicians took with patients. From the study, it was determined that the consultation time was normally distributed with a mean of 15 minutes and a standard deviation of 2 minutes. What is the probability that the doctor will spend between 10 and 12 minutes? Select from the answers below. A.0.0555 B.0.0606 C.0.340 D.0.4623 Q2. The marketing manager for the print division of Publishing and Broadcasting Limited claims that 32% of university students regularly read the Bulletin magazine. A survey of 170 students showed that 62 students actually read the Bulletin regularly. Under the assumption that the manager’s claim is correct, determine (to 4 decimal places): 1. the standard error for the sampling distribution of the proportion. 2. the probability that the sample proportion could be at least that found in the survey. Q3. An on-line retailing firm conducts a study into the number of on-line purchases of footwear made during all of last year. The study wants to determine the proportion of Australians over the age of 25 who purchase footwear on-line. The managing director of the on-line retailing firm believes this proportion of Australians is 24%. A random sample of 161 Australians over the age of 25 is selected. If the managing director’s claim is true, what is the sample proportion value below which 10% of all sample proportions would exist? Express your answer correct to two decimal places.