Does the length of a surgery patient's stay in the hospital depend on the length of time the operation took? The table below gives the operative time (in hours) and the length of the hospital stay (in days) for 15 patients. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Operative Time (x) Length of Hospital Stay (y) 9 13 8 15 7 29 0 4 : 9, 6, 8, 5, 10, 1, 6, 7, 6, 8, 3, 6, 5, 7, 8 y: 13, 8, 15, 7, 29, 0, 4, 15, 9, 14, 2, 21, 5, 15, 6 Ho:p=0 Ha:Po 6 8 5 10 1 6 7 6 8 3 6 5 7 8 (So we will be performing a two-tailed Conduct a hypothesis test with a 6% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. ✓ P(r? V P-value= 15 Step 3: Find the p-value of the point estimate. 9 14 21556 V test.) Step 2: Determine the features of the distribution used to test the significance of the correlation coefficient. To test the significance of the correlation coefficient, we will use a t-distribution 13 ✓degrees of freedom. = P(??V Y Part 2 of 4 V✔ with Part 3 of 4
Does the length of a surgery patient's stay in the hospital depend on the length of time the operation took? The table below gives the operative time (in hours) and the length of the hospital stay (in days) for 15 patients. (Comma separated lists of the data are also provided below the table to ease in copying the data to R.) Operative Time (x) Length of Hospital Stay (y) 9 13 8 15 7 29 0 4 : 9, 6, 8, 5, 10, 1, 6, 7, 6, 8, 3, 6, 5, 7, 8 y: 13, 8, 15, 7, 29, 0, 4, 15, 9, 14, 2, 21, 5, 15, 6 Ho:p=0 Ha:Po 6 8 5 10 1 6 7 6 8 3 6 5 7 8 (So we will be performing a two-tailed Conduct a hypothesis test with a 6% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. ✓ P(r? V P-value= 15 Step 3: Find the p-value of the point estimate. 9 14 21556 V test.) Step 2: Determine the features of the distribution used to test the significance of the correlation coefficient. To test the significance of the correlation coefficient, we will use a t-distribution 13 ✓degrees of freedom. = P(??V Y Part 2 of 4 V✔ with Part 3 of 4
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 72E
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Transcribed Image Text:Does the length of a surgery patient's stay in the hospital depend on the length of time the
operation took? The table below gives the operative time (in hours) and the length of the hospital
stay (in days) for 15 patients. (Comma separated lists of the data are also provided below the table
to ease in copying the data to R.)
Operative Time (x) Length of Hospital Stay (y)
9
13
6
8
8
15
5
7
10
29
1
0
6
7
6
: 9, 6, 8, 5, 10, 1, 6, 7, 6, 8, 3, 6, 5, 7, 8
y: 13, 8, 15, 7, 29, 0, 4, 15, 9, 14, 2, 21, 5, 15, 6
8
3
6
5
7
8
Ho:p=0
Ha:p0
(So we will be performing a two-tailed
4
15
9
P-value =
N46
Step 3: Find the p-value of the point estimate.
P(r? V
= P(? V? V
Submit Part
14
2
Conduct a hypothesis test with a 6% level of significance to determine whether or not the operative
time and the length of a patient's hospital stay are correlated.
Step 1: State the null and alternative hypotheses.
21
5
15
6
Step 2: Determine the features of the distribution used to test the significance of the
correlation coefficient.
V test.)
To test the significance of the correlation coefficient, we will use a t-distribution
13
✓degrees of freedom.
▾ Part 1 of 4
Part 2 of 4
V✔ with
Part 3 of 4
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