The time spent waiting in line by all drivers to get their licenses renewed at the motor vehicle department office of a large city has a distribution that is skewed to the right with a mean of 24 minutes and a standard deviation of 7 minutes. Calculate the mean and standard deviation of x̄ and comment on the shape of its sampling distribution and why it is that shape. Find the probability that the mean waiting time for a random sample of 100 drivers to get their licenses renewed is: a. less than 22 minutes b. between 23-26 minutes c. within 2 minutes of the population mean d. greater than the population mean by 4 minutes
Added by Stephanie S.
Step 1
We are given that the time spent waiting in line by all drivers to get their licenses renewed at a motor vehicle department office of a large city has a distribution that is skewed to the right with a mean (μ) of 24 minutes and a standard deviation (σ) of 7 Show more…
Show all steps
Close
Your feedback will help us improve your experience
Thuc Nguyen and 93 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
1. Wait times at a certain DMV office follow an exponential distribution. The expected wait time is 39 minutes with a standard deviation of 6 minutes. Suppose samples of size 38 are drawn from the population. a) What is the probability that the mean wait time is at most 38 minutes? b) What is the probability that the mean wait time that exceeds 41 minutes? c) Find the value that is two standard deviations below the expected value of the sample mean. d) Assuming the distribution is normal, what is the probability that a randomly selected person waits between 33 and 41 minutes?
Adi S.
Wait times at a certain DMV office follow an exponential distribution. The expected wait time is 39 minutes with a standard deviation of 6 minutes. Suppose samples of size 38 are drawn from the population. a) What is the probability that the mean wait time is at most 38 minutes? b) What is the probability that the mean wait time that exceeds 41 minutes? c) Find the value that is two standard deviations below the expected value of the sample mean. d) Assuming the distribution is normal, what is the probability that a randomly selected person waits between 33 and 41 minutes?
Jason G.
Suppose the mean length of time that a caller is placed on hold when telephoning a customer service center is 23.8 seconds, with standard deviation 4.6 seconds. Find the probability that the mean length of time on hold in a sample of 1,200 calls will be within 0.5 second of the population mean.
Sampling Distributions
The Sampling Distribution of the Sample Mean
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD