A health professional obtains records for 35 patients who have undergone a certain surgical procedure and finds the average length of stay is 3.17 days with a standard deviation of 1.3 days. Using α=0.01, is there evidence to suggest the actual average length of stay for this surgical procedure is 3 days? What are the hypotheses? H0:x¯=3 vs H1:x¯≠3 H0:μ=3.17 vs H1:μ≠3.17 H0:μ=3 vs H1:μ≠3 H0:x¯=3.17 vs H1:x¯≠3.17 Calculate the test statistic using the correct letter. t=0.77 t=-0.77 z=0.77 z=-0.77 Determine the critical values. ±2.326 ±2.724 ±2.441 ±2.72 ±2.728 ±2.435 ±2.576 State your decision. Reject H0 Accept H0 Fail to reject H0 The correct conclusion is that we Select an answer can maybe can cannot conclude that the average length of stay of all surgeries of this type Select an answer is less than is more than is different from is Select an answer 3 3.17 0.79 days. What level of concern do you have for the validity of your results? None - our sample size is larger than 30 so there should be no problem with the conclusion Extreme - we should not use any part of what we've done to make a conclusion Moderate - the original data is not normally distributed which is an assumptions violation Low - our sample size is near 30, so while that's likely sufficient for X¯ to be approximately normally distributed, seeing that the original data isn't extremely skewed would make us feel more comfortable
A health professional obtains records for 35 patients who have undergone a certain surgical procedure and finds the average length of stay is 3.17 days with a standard deviation of 1.3 days. Using α=0.01, is there evidence to suggest the actual average length of stay for this surgical procedure is 3 days?
What are the hypotheses?
H0:x¯=3 vs H1:x¯≠3
H0:μ=3.17 vs H1:μ≠3.17
H0:μ=3 vs H1:μ≠3
H0:x¯=3.17 vs H1:x¯≠3.17
Calculate the test statistic using the correct letter.
t=0.77
t=-0.77
z=0.77
z=-0.77
Determine the critical values.
±2.326
±2.724
±2.441
±2.72
±2.728
±2.435
±2.576
State your decision.
Reject H0
Accept H0
Fail to reject H0
The correct conclusion is that we Select an answer can maybe can cannot conclude that the average length of stay of all surgeries of this type Select an answer is less than is more than is different from is Select an answer 3 3.17 0.79 days.
What level of concern do you have for the validity of your results?
None - our
Extreme - we should not use any part of what we've done to make a conclusion
Moderate - the original data is not
Low - our sample size is near 30, so while that's likely sufficient for X¯ to be approximately normally distributed, seeing that the original data isn't extremely skewed would make us feel more comfortable
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