Concept explainers
To find: the simulation to see if the writer’s claim is reasonable.
Explanation of Solution
Given:
250 flip of a coin. Assume that heads and tails are equally likely
There would be 10 possible digits and assigning 5 of the digits to heads and 5 of the digits to tails
Heads: Digit 0, 1, 2, 3, 4
Tails: Digit 5, 6, 7, 8, 9
Using the TI 83 calculator for simulating the result
Generating the 250 flip of a coin using a TI 83/TI84 calculator
Counting the number of heads in every run containing heads
1, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 1, 5, 5, 9, 5, 1, 2, 2, 1, 3, 3, 3, 5, 5, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 5, 5, 3, 3, 4, 4, 4, 4, 1, 1, 2, 2, 1, 1, 1, 1, 4, 5, 5, 4, 4, 3
After observing that there are 16 ones, 22 twos, 7 threes, 7 four, 12 fives and 1 nine
At least two: 22+7+7+12+1=49
At least three: 7+7+12+1=27
At least four: 7+12+1=20
At least five: 12+1=13
At least six: 1
At least seven: 1
Since all values are close the claimed number of runs, the researcher’s claims appears to be reasonable. (Answer may vary)
Chapter 7 Solutions
Statistics Through Applications
Additional Math Textbook Solutions
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