Question

b) If we know that the length of time it takes a college student to fingd 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, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.

c) The mean score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 suppose 36 pro golfers played the course today. Find the probability that the mean score of the 36 pro golfers exceeded 71.

d) As ab aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. Assume the sample mean is 396 and substitute standard deviation is 100. Estimate the mean number of admissions per 24-hour period with a 95% confidence interval.

e) A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 300 items, 27 are defective. construct a 90% interval for this sample.

Answer 1