A researcher thinks that if knee surgery patients go to physical therapy three times a week (instead of 2 times), their recovery period will be shorter. Average recovery times for all knee surgery patients is 8.2 weeks (with PT twice a week). The researchers took a random sample of 34 patients who had knee surgery and asked them to do PT three times a week. The average recovery time of the 34 patients was 7.9 weeks with standard deviation 1.4 weeks. What is the test statistic?
Added by Michael P.
Step 1
The formula is: \[ t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \] where: - \(\bar{x}\) = sample mean - \(\mu\) = population mean - \(s\) = sample standard deviation - \(n\) = sample size Now, let's go through the steps: ** Show more…
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A researcher thinks that if knee surgery patients go to physical therapy twice a week (instead of 3 times), their recovery period will be longer. Average recovery times for knee surgery patients is 8.2 weeks.
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A researcher thinks that if knee surgery patients go to physical therapy twice a week (instead of 3 times), their recovery period will be longer. Average recovery times for knee surgery patients is 8.2 weeks. The null hypothesis can be stated as: The average recovery time is less than 8.2 weeks Select one: True False
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For recovery from a certain injury, specialists generally agree that there is a 60-day time to full recovery using traditional Physical Therapy. Suppose a new therapy routine is proposed that may decrease the time to full recovery. To test this, researchers sample 64 patients who have had the injury and are put on the new Physical Therapy routine. From this sample, an average recovery time of 56 days was noted for these patients. Suppose we know that the population standard deviation (σ) is 16 days. What is the test statistic?
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