Subjects statistics

Range Rule Hybridization 41Bb4A

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1. **State the problem:** We have a binomial experiment with $n=30$ peas and probability of green pods $p=0.75$. The standard deviation is given as $\sigma=2.4$ peas. 2. **Recall the range rule of thumb:** It states that values more than 2 standard deviations away from the mean are significantly low or high. 3. **Calculate the mean:** $$\mu = np = 30 \times 0.75 = 22.5$$ 4. **Calculate the low and high cutoff values:** - Significantly low values are those less than or equal to $$\mu - 2\sigma = 22.5 - 2 \times 2.4 = 22.5 - 4.8 = 17.7$$ - Significantly high values are those greater than or equal to $$\mu + 2\sigma = 22.5 + 4.8 = 27.3$$ 5. **Interpretation:** - Values of 17.7 peas or fewer are significantly low. - Values of 27.3 peas or more are significantly high. **Final answer:** Values of 17.7 peas or fewer are significantly low.