Question

A physical therapist have developed some new devices to aid in patient recovery. Individuals conducting a research  wanted to estimate the mean number of successful devices on a typical visiting day for people who have been visiting a particular physical therapy office in Maine. A random sample of 61 people visiting the office in Maine who used successful devices was selected. The number of successful devices  on a typical visiting day for each person in the sample was recorded. The mean was 9,797 successful devices and the standard deviation was 2,313 devices.

(a) Are the conditions for a confidence interval for the population men have been met? please verify

(b) ) Construct a 99% confidence interval for the mean number of successful devices taken on a typical visiting day for all people visiting the office in Maine who used the patient recovery devices. Round your final answer to 1 decimal place.

(c)Another physical therapist was intrigued with the researchers finding and wanted to investigate whether it is unusual for one person visiting the office in Maine who uses a recovery device to record approximately 8,500 successful devices on a typical visit. Is it appropriate to use the confidence interval found in part (b) to conduct the investigation? Explain your answer

Answer 1