[All Steps] A city planner working on bikeways designs a questionnaire to obtain information about local bicycle commuters. One of the questions asks how long
Question:
A city planner working on bikeways designs a questionnaire to obtain information about local bicycle commuters. One of the questions asks how long it takes the rider to pedal from home to his or her destination. A random sample of 22 local bicycle commuters yields a mean of 25.82 minutes and a standard deviation of 7.71 minutes.
- Find a 90% confidence interval for the mean commuting time of bicycle commuters.
- Explain in one sentence how to interpret this confidence interval to someone with no training in statistics.
- If we wanted to estimate the true mean within 4 minutes from the population mean, with a confidence level of 95%, how large a sample would be required?
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