AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Introduction to ProbabilityQuestion 7
7
QuizMultiple Choice
Introduction to Probability
Question 7 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A contractor claims that she finishes a job on time 90% of the time. Last month, she only completed 7 out of her 10 jobs on time. To see if this is surprisingly low, a simulation was conducted 100 times under the assumption that she really does complete 90% of her jobs on time. The dotplot contains 100 trials of this simulation.
Answer
A
The contractor’s true, on-time completion rate is only 50%.B
It is most likely that the contractor will complete about 9 out of 10 jobs.C
If we used a larger sample size of 40 jobs, the simulated dotplot would be different; therefore, we cannot draw a conclusion.D
The dotplot does not provide convincing evidence that her true, on-time completion rate is less than 90% because 7 or fewer on-time completions happened 19% of the time in the simulation.