Given the data for 250 offspring mice, we can observe the breakdown of the different phenotypes based on the predicted and laboratory results. Let's go through the steps to understand the problem and how the percentages were derived, and discuss why the predicted and laboratory percentages might differ.
### Step-by-Step Explanation
1. Understanding Predicted Fractions:
- For Black Fur and Black Eyes: Predicted fraction is [tex]\( \frac{9}{16} \)[/tex]
- For Black Fur and Red Eyes: Predicted fraction is [tex]\( \frac{3}{16} \)[/tex]
- For White Fur and Black Eyes: Predicted fraction is [tex]\( \frac{3}{16} \)[/tex]
- For White Fur and Red Eyes: Predicted fraction is [tex]\( \frac{1}{16} \)[/tex]
2. Converting Predicted Fractions to Percentages:
- For Black Fur and Black Eyes:
[tex]\[
\frac{9}{16} \times 100 = 56.25\%
\][/tex]
- For Black Fur and Red Eyes:
[tex]\[
\frac{3}{16} \times 100 = 18.75\%
\][/tex]
- For White Fur and Black Eyes:
[tex]\[
\frac{3}{16} \times 100 = 18.75\%
\][/tex]
- For White Fur and Red Eyes:
[tex]\[
\frac{1}{16} \times 100 = 6.25\%
\][/tex]
3. Understanding Laboratory Fractions:
- For Black Fur and Black Eyes:
[tex]\[
\frac{155}{250}
\][/tex]
- For Black Fur and Red Eyes:
[tex]\[
\frac{51}{250}
\][/tex]
- For White Fur and Black Eyes:
[tex]\[
\frac{44}{250}
\][/tex]
- For White Fur and Red Eyes:
[tex]\[
\frac{20}{250}
\][/tex]
4. Converting Laboratory Fractions to Percentages:
- For Black Fur and Black Eyes:
[tex]\[
\frac{155}{250} \times 100 = 62.0\%
\][/tex]
- For Black Fur and Red Eyes:
[tex]\[
\frac{51}{250} \times 100 = 20.4\%
\][/tex]
- For White Fur and Black Eyes:
[tex]\[
\frac{44}{250} \times 100 = 17.6\%
\][/tex]
- For White Fur and Red Eyes:
[tex]\[
\frac{20}{250} \times 100 = 8.0\%
\][/tex]
5. Comparison of Predicted and Laboratory Percentages:
- Predicted Percentages: [56.25%, 18.75%, 18.75%, 6.25%]
- Laboratory Percentages: [62.0%, 20.4%, 17.6%, 8.0%]
### Explanation for Differences
The predicted percentages and the laboratory percentages do not match exactly. The differences in the percentages are likely due to sampling variability or experimental error. This means that there might be natural fluctuations when taking a sample or slight errors during the experimental procedure, which can lead to slight differences from the theoretical predictions.
Therefore, the most likely cause of the observed differences is sampling variability or experimental error.
