Subjects statistics

Weight Loss Significance E574D0

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We want to determine if the weight loss program is statistically and practically significant given that 7 subjects lost an average of 45 lbs and there is a 38% chance of these results occurring by random chance if the diet had no effect. 2. **Statistical significance:** Statistical significance is determined by the probability (p-value) of obtaining the observed results if the null hypothesis (no effect) is true. A common threshold is 5% (0.05). 3. **Given:** The probability of getting these results by chance is 38% (0.38), which is much higher than 0.05. 4. **Interpretation:** Since 0.38 > 0.05, the results are not statistically significant. This means the observed weight loss could easily be due to random chance. 5. **Answer for statistical significance:** D. No, the program is not statistically significant because the results are likely to occur by chance. 6. **Practical significance:** This considers whether the amount of weight lost (45 lbs) is large enough to matter in real life. 7. **Interpretation:** Losing 45 lbs is a large and meaningful amount of weight loss. 8. **Answer for practical significance:** D. Yes, the program is practically significant because the amount of lost weight is large enough to be considered practically significant.