5. The effect of Benzedrine on the heart rate of dogs (in beats per minute) was examined in an experiment on 14 dogs chosen for the study. Half of the dogs were assigned to receive Benzedrine during the first study period and the other half assigned to receive a placebo (saline solution). All dogs were examined to determine the heart rates after 2 hours on the medication. After 2 weeks in which no medication is given, the regimens for the dogs were switched for the second study period. The dogs previously on Benzedrine were given the placebo and the others received Benzedrine. Again the rates were measured after 2 hours. Do the data provide sufficient evidence to conclude that the population mean heart rate when the placebo is used is less than the population mean heart rate when Benzedrine is ysed, Using the relevant output below, conduct hypothesis test using a-.05.

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**Study on the Effect of Benzedrine on Dog Heart Rates**

**Introduction:**
The experiment investigated the effect of Benzedrine on the heart rate of dogs. This study involved 14 dogs, each undergoing two phases of treatment—one with Benzedrine and another with a placebo (saline solution). The heart rates were measured two hours after administration in each phase.

**Procedure:**
1. **Initial Phase:** Half of the dogs received Benzedrine, and the other half received a placebo. 
2. **Switch Phase:** After a two-week break, treatments were switched—dogs previously on Benzedrine received the placebo and vice versa.
3. Heart rates were recorded two hours post-treatment in both phases.

**Objective:**
Determine if the population mean heart rate is significantly lower when the placebo is used compared to when Benzedrine is administered, using a significance level (α) of 0.05.

**Data Table:**

| **Dog** | **Placebo** | **Benzedrine** |
|---------|-------------|----------------|
| 1       | 250         | 258            |
| 2       | 271         | 285            |
| 3       | 243         | 245            |
| 4       | 252         | 250            |
| 5       | 266         | 268            |
| 6       | 272         | 278            |
| 7       | 293         | 280            |
| 8       | 296         | 305            |
| 9       | 301         | 319            |
| 10      | 298         | 308            |
| 11      | 310         | 320            |
| 12      | 286         | 293            |
| 13      | 306         | 305            |
| 14      | 309         | 313            |

**Statistical Analysis:**
To evaluate the hypothesis, compare the means of the heart rate readings under the placebo and Benzedrine conditions. Conduct a hypothesis test at the 0.05 significance level to see if there is enough evidence to conclude that the heart rate is lower with the placebo.

**Conclusion:**
The outcome of the hypothesis test will inform whether Benzedrine significantly influences the heart rate of dogs compared to a placebo.
Transcribed Image Text:**Study on the Effect of Benzedrine on Dog Heart Rates** **Introduction:** The experiment investigated the effect of Benzedrine on the heart rate of dogs. This study involved 14 dogs, each undergoing two phases of treatment—one with Benzedrine and another with a placebo (saline solution). The heart rates were measured two hours after administration in each phase. **Procedure:** 1. **Initial Phase:** Half of the dogs received Benzedrine, and the other half received a placebo. 2. **Switch Phase:** After a two-week break, treatments were switched—dogs previously on Benzedrine received the placebo and vice versa. 3. Heart rates were recorded two hours post-treatment in both phases. **Objective:** Determine if the population mean heart rate is significantly lower when the placebo is used compared to when Benzedrine is administered, using a significance level (α) of 0.05. **Data Table:** | **Dog** | **Placebo** | **Benzedrine** | |---------|-------------|----------------| | 1 | 250 | 258 | | 2 | 271 | 285 | | 3 | 243 | 245 | | 4 | 252 | 250 | | 5 | 266 | 268 | | 6 | 272 | 278 | | 7 | 293 | 280 | | 8 | 296 | 305 | | 9 | 301 | 319 | | 10 | 298 | 308 | | 11 | 310 | 320 | | 12 | 286 | 293 | | 13 | 306 | 305 | | 14 | 309 | 313 | **Statistical Analysis:** To evaluate the hypothesis, compare the means of the heart rate readings under the placebo and Benzedrine conditions. Conduct a hypothesis test at the 0.05 significance level to see if there is enough evidence to conclude that the heart rate is lower with the placebo. **Conclusion:** The outcome of the hypothesis test will inform whether Benzedrine significantly influences the heart rate of dogs compared to a placebo.
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