Chapter 11.2, Problem 25E

To determine

To find: The simulation that should be used to accurately analyze a hypothesis.

Answer to Problem 25E

Simulation $2$ should be used to accurately analyze a hypothesis.

Explanation of Solution

Given:

First simulation uses $20$ random samples of size $10$ .

Second simulation uses $400$ random samples of size $10$ .

Calculation:

As can be seen from the two histograms, different simulations may have different histograms but the shape is similar.

The histogram of the simulation which have more number of samples or sample sizes or both, more closely resembles a normal distribution.

Thus, simulation $2$ should be used to accurately analyze a hypothesis because it gives a better indication of outcomes that are not likely to occur by chance.

Conclusion:

Hence, simulation $2$ should be used to accurately analyze a hypothesis.