AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Significance Tests and Confidence IntervalsQuestion 10
10
QuizMultiple Choice
Significance Tests and Confidence Intervals
Question 10 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using α = 0.05. He selects a random sample of 50 days with the intention of testing the hypotheses = 10,000 steps versus steps where μ = the true mean number of steps taken per day.Rather than test these hypotheses, he computes a 95% confidence interval for the true mean number of steps he takes per day. The 95% confidence interval is (8,250, 10,700). Based on the confidence interval, what conclusion can be made?
Answer
A
Reject H0. Since 10,000 does not fall outside the 95% confidence interval, there is convincing evidence that the true mean number of steps he takes per day differs from 10,000 steps.B
Reject H0. Since 10,000 does not fall outside the 95% confidence interval, there is not convincing evidence that the true mean number of steps he takes per day differs from 10,000 steps.C
Fail to reject H0. Since 10,000 does not fall outside the 95% confidence interval, there is convincing evidence that the true mean number of steps he takes per day differs from 10,000 steps.D
Fail to reject H0. Since 10,000 does not fall outside the 95% confidence interval, there is not convincing evidence that the true mean number of steps he takes per day differs from 10,000 steps.