Answered: A worker at the local Department of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A worker at the local Department of Motor Vehicles (DMV) claims that 60% of teenagers smile in their driver’s license photo. In a random sample of 10 teenagers from last month’s new driver’s licenses, only 4 of them were smiling in their photos. To see how unusual this sample is, 100 simulated trials were conducted under the assumption that 60% of teenagers smile for their driver’s license photo.

Based on the dotplot of the simulation results and the random sample from last month’s new driver’s licenses, which conclusion can be drawn? (dotplot picture attached))

a. The actual proportion of teenagers who do not smile is only 8%.

b. It is clear that exactly 6 out of 10 teenagers will smile in their driver’s license photo.

c. If we continued to take more samples of 10 teenagers, the center of the distribution would shift to 6.

d. There is about an 8% chance that 4 or fewer teenagers smiled for their photo. This is not unusual and is not convincing evidence that the true probability is less than 60%.