Conduct an appropriate hypothesis test to determine if there

Conduct an appropriate hypothesis test to determine if there are any differences among the mean days to completion of physical therapy across pre-surgery fitness levels. Use .01 level of significance.

Prior Physical Status Number of days for
successful completion of rehab
Below Average 29 42 38 40 43 40 30 42
Average 30 35 39 28 31 31 29 35 29 33
High Average 26 32 21 20 23 22

What type of error may have been committed?

Solution

Since the number of samples are more than 2, we use ANOVA method.

p value is less than 0.05, so we reject null hypothesis.