S.IC.A.2: Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.?

Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation.?

Example Problems

In a study of college freshmen, researchers found that students who watched TV for an hour or more on weeknights were significantly more likely to have high blood pressure, compared to those students who watched less than an hour of TV on weeknights.

Does this mean that watching more TV raises one's blood pressure? Explain your reasoning.

A

\text{margin of error}

is loosely defined as the largest expected size of the difference between an estimate and the actual population value that is being estimated.

Generally speaking, do you think that when proper random sampling occurs, the

\text{margin of error}

for estimating a population mean gets smaller or larger as the sample size increases?

The probability that Dimitri makes a hit at-bat in softball is

30\%

. He was curious how many hits to expect in a set of 10 at-bats.

He simulated 30 sets of 10 at-bats where each at-bat had a

0.3

probability of being a hit.

Dimitri counted how many hits were in each simulated set. Here are his results:

# of hits	Frequency
0	2
1	6
2	8
3	7
4	4
5	2
6	1

Use his results to estimate the probability that he gets 4 or more hits in a set of 10 at-bats.

P(\text{4 or more hits}) \approx

Give your answer as either a fraction or a decimal.

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