2. Recovering from surgery: A new postsurgical treatment was compared with a stan- dard treatment. Seven subjects received the new treatment, while seven others (the controls) received the standard treatment. The recovery times, in days, are given below. Can you conclude that the mean recovery time for those receiving the new treatment is less than the mean for those receiving the standard treatment? Use the a = 0.05 level. Treatment: Control: H₁: 12 18 13 23 (a) List the null and alternate hypetheses. Ho: (c) List the P-value. 15 24 19 30 20 32 21 35 24 39 (b) List the distribution, the test statistic, the calculator program, and all input and output variables.

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**2. Recovering from Surgery:**

A new postsurgical treatment was compared with a standard treatment. Seven subjects received the new treatment, while seven others (the controls) received the standard treatment. The recovery times, in days, are given below. Can you conclude that the mean recovery time for those receiving the new treatment is less than the mean for those receiving the standard treatment? Use the α = 0.05 level.

|              | Treatment |           |           |          |         |         |
|--------------|------------|-----------|-----------|----------|---------|---------|
| New Treatment| 12         | 13        | 15        | 19       | 20      | 21      | 24 |
| Control      | 18         | 23        | 24        | 30       | 32      | 35      | 39 |

(a) **List the null and alternate hypotheses.**

\[
H_0 :
\]
\[
H_1 :
\]

(b) **List the distribution, the test statistic, the calculator program, and all input and output variables.**

(c) **List the \( P \)-value.**

(d) **Make the comparison.**

We reject \[ H_0 \] / We do not reject \[ H_0 \] (circle one)

(e) **State the final conclusion in the wording of the problem.**
Transcribed Image Text:**2. Recovering from Surgery:** A new postsurgical treatment was compared with a standard treatment. Seven subjects received the new treatment, while seven others (the controls) received the standard treatment. The recovery times, in days, are given below. Can you conclude that the mean recovery time for those receiving the new treatment is less than the mean for those receiving the standard treatment? Use the α = 0.05 level. | | Treatment | | | | | | |--------------|------------|-----------|-----------|----------|---------|---------| | New Treatment| 12 | 13 | 15 | 19 | 20 | 21 | 24 | | Control | 18 | 23 | 24 | 30 | 32 | 35 | 39 | (a) **List the null and alternate hypotheses.** \[ H_0 : \] \[ H_1 : \] (b) **List the distribution, the test statistic, the calculator program, and all input and output variables.** (c) **List the \( P \)-value.** (d) **Make the comparison.** We reject \[ H_0 \] / We do not reject \[ H_0 \] (circle one) (e) **State the final conclusion in the wording of the problem.**
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