Reference no: EM132155787
1. The drive-thru times at Tim Horton's are normally distributed with = 138:5 seconds and = 29 seconds.
(a) What is the probability that a randomly selected car will get through the drive-thru in less than 100 seconds?
(b) What is the probability that a randomly selected car will spend more than 160 seconds in the drive-thru?
(c) What proportion of cars spend between 2 and 3 minutes in the drive-thru?
(d) Would it be unusual for a car to spend more than 3 minutes in the drive-thru? Why?
2. The following data represents the running time (in minutes) of the movies who won the Academy Award for Best Picture for the years of 2006 - 2009.
Movie Running Time
2006: The Departed 151
2007: No Country for Old Men 122
2008: Slumdog Millionaire 120
2009: The Hurt Locker 131
(a) Compute the population mean.
(b) List all possible samples with size = 2 (sampling without replacement).
(c) Compute the mean of the sampling distribution.
(d) Use the Central Limit Theorem to comment on the result of part (a) with the result of part (c).
3. (Excel Question) According to the Labour Department, the mean duration of unemployment for adults ages 20 to 24 was 34.6 weeks during a recent month. Assume that the standard deviation for this population is 10.2 weeks. A random sample of 36 adults in this age group was selected.
Use Excel to find the probability that the mean duration of unemployment was between 31 and 35 weeks.
Click on the Insert Function fx button on the toolbar.
Select NORM.DIST in the Select a Function box and press OK.
Enter values for X, Mean, and Standard dev and enter 0 for Cumulative.