Gaming and distracted eating, Part I: A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in amount of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied. Use the treatment group as Group A and the control group as Group B. What are the hypotheses for this test? O Ho: Uno distraction = Hdistraction Ha: Hno distraction < Hdistraction O Ho: Uno distraction = Hdistraction Ha: Hno distraction > Hdistraction م Ho: Hno distraction = Hdistraction Ha: Hno distraction * Hdistraction The degrees of freedom associated with this test are: 42 X The test statistic for the hypothesis test is (round your answer to 3 decimal places): 2.24

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**Gaming and Distracted Eating, Part I: An Educational Study**

A group of researchers investigated the possible effects of distracting stimuli during eating, which might lead to changes in the amount of food consumption. To test this hypothesis, they monitored food intake in a group of 44 patients divided equally into two groups. 

- The treatment group (Group A) ate lunch while playing solitaire.
- The control group (Group B) ate lunch without any added distractions.

Patients in the treatment group consumed an average of 52.1 grams of biscuits with a standard deviation of 45.1 grams. Patients in the control group consumed an average of 27.1 grams of biscuits with a standard deviation of 26.4 grams.

**Research Question:** Do these data provide convincing evidence that the average food intake (measured in amount of biscuits consumed) is different for patients in the treatment group compared to the control group? Assume that conditions for inference are satisfied.

### Hypotheses for the Test:

- **Null Hypothesis (H0):** The average food intake for the treatment group with distractions (μno distraction) is equal to the control group without distractions (μdistraction).
- **Alternative Hypothesis (Ha):** The average food intake for the treatment group with distractions (μno distraction) is not equal to the control group without distractions (μdistraction).

The correct hypothesis selection confirmed:
- **H0: μno distraction = μdistraction**
- **Ha: μno distraction ≠ μdistraction**

### Test Statistics:

- **Degrees of Freedom:** 42
- **Test Statistic (t):** 2.24 (rounded to three decimal places)

### P-value for the Hypothesis Test:

The p-value falls between 0.02 and 0.04.

### Interpretation of the Hypothesis Test:

Since \( p < \alpha \), we have enough evidence to reject the null hypothesis (H0). This suggests that the average biscuit consumption in the two groups was not the same. Our data supports the alternative hypothesis that distracted eaters consume a different amount of biscuits than non-distracted eaters, on average.
Transcribed Image Text:**Gaming and Distracted Eating, Part I: An Educational Study** A group of researchers investigated the possible effects of distracting stimuli during eating, which might lead to changes in the amount of food consumption. To test this hypothesis, they monitored food intake in a group of 44 patients divided equally into two groups. - The treatment group (Group A) ate lunch while playing solitaire. - The control group (Group B) ate lunch without any added distractions. Patients in the treatment group consumed an average of 52.1 grams of biscuits with a standard deviation of 45.1 grams. Patients in the control group consumed an average of 27.1 grams of biscuits with a standard deviation of 26.4 grams. **Research Question:** Do these data provide convincing evidence that the average food intake (measured in amount of biscuits consumed) is different for patients in the treatment group compared to the control group? Assume that conditions for inference are satisfied. ### Hypotheses for the Test: - **Null Hypothesis (H0):** The average food intake for the treatment group with distractions (μno distraction) is equal to the control group without distractions (μdistraction). - **Alternative Hypothesis (Ha):** The average food intake for the treatment group with distractions (μno distraction) is not equal to the control group without distractions (μdistraction). The correct hypothesis selection confirmed: - **H0: μno distraction = μdistraction** - **Ha: μno distraction ≠ μdistraction** ### Test Statistics: - **Degrees of Freedom:** 42 - **Test Statistic (t):** 2.24 (rounded to three decimal places) ### P-value for the Hypothesis Test: The p-value falls between 0.02 and 0.04. ### Interpretation of the Hypothesis Test: Since \( p < \alpha \), we have enough evidence to reject the null hypothesis (H0). This suggests that the average biscuit consumption in the two groups was not the same. Our data supports the alternative hypothesis that distracted eaters consume a different amount of biscuits than non-distracted eaters, on average.
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