Question

State your decision.

Accept H0H0
Fail to reject H0H0
Reject H0H0
A health professional obtains records for 36 patients who have undergone a certain surgical procedure and finds the average length of stay is 5.17 days with a standard deviation of 1.35 days. Using α=0.05, is there evidence to suggest the actual average length of stay for this surgical procedure is 5 days?

Select and answer:


The correct conclusion is that we ( can cannot can maybe ) conclude that the average length of stay of (sampled all randomly selected) surgeries of this type ( is more than ,is different from, is less) than is ( 0.74 ,5, 5.17 ) days.

What level of concern do you have for the validity of your results?

Low −- our sample size is near 30, so while that's likely sufficient for ¯¯¯XX¯ to be approximately normally distributed, seeing that the original data isn't extremely skewed would make us feel more comfortable
Moderate −- the original data is not normally distributed which is an assumptions violation
Extreme −- we should not use any part of what we've done to make a conclusion
None −- our sample size is larger than 30 so there should be no problem with the conclusion

Answer 1

Based on the information provided, the correct conclusion is that we "fail to reject H0." This means that there is not enough evidence to suggest that the actual average length of stay for this surgical procedure is significantly different from 5 days.

The level of concern for the validity of the results is "Moderate." This is because the original data is not normally distributed, which violates one of the assumptions of the hypothesis test. While the sample size is near 30, making it likely that the sample mean (¯¯¯XX¯) is approximately normally distributed, the violation of the normality assumption is still a moderate concern.

In summary, based on the data and analysis, there is not enough evidence to conclude that the average length of stay for the surgical procedure is different from 5 days, and the results should be interpreted with a moderate level of concern due to the assumption violation in the original data distribution.