An online news source reports that the proportion of smartphone owners who use a certain operating system is 0.216. Two simulati
ons will be conducted to create a sampling distribution of the sample proportion from a population with proportion 0.216. Simulation A will consist of 1,000 trials with a sample size of 50. Simulation B will consist of 500 trials with a sample size of 100. hich of the following describes the centers and variabilities that should be apparent in the distributions generated by simulation A and simulation B? A. The centers will be approximately equal, and the variabilities will roughly be equal.
B. The centers will be approximately equal, and the variability of simulation A will be greater than the variability of simulation
C. The centers will be approximately equal, and the variability of simulation A will be less than the variability of simulation B.
D. The center of simulation A will be greater than the center of simulation B, and the variabilities will be approximately equal.
E. The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be less than the variability of s
Doubling the radius of this cylindrical barrel would quadruple the volume.
Step-by-step explanation:
The volume of a cylinder of radius and height is:
.
If radius stays the same, volume would be proportional to height . That is, . Doubling height would only double .
If height stays the same, volume would be proportional to , the square of the radius. That is, . Doubling radius would quadruple and thus quadruple as required.