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To calculate the 95% confidence interval for the mean percentage change in the stock prices, we can follow these steps. Here’s a structured approach to find it, assuming that we already have the data for each stock's percentage change from the beginning to the end of the quarter.

### Steps:

1. **Calculate the Percentage Change for Each Stock**:
   \[
   \text{Percentage Change} = \frac{\text{End of 1st Quarter Price} - \text{Beginning of 1st Quarter Price}}{\text{Beginning of 1st Quarter Price}}
   \]
   Do this for each stock in the table to obtain individual percentage changes.

2. **Compute the Sample Mean (\( \bar{x} \)) and Sample Standard Deviation (s) of the Percentage Changes**:
   - Use the calculated percentage changes to find the mean and standard deviation.
   
3. **Calculate the 95% Confidence Interval**:
   The formula for the confidence interval is:
   \[
   \text{Confidence Interval} = \bar{x} \pm t \cdot \frac{s}{\sqrt{n}}
   \]
   where:
   - \( \bar{x} \) is the sample mean of the percentage changes.
   - \( t \) is the t-value for a 95% confidence level (based on the degrees of freedom, \( n-1 \), where \( n \) is the sample size).
   - \( s \) is the sample standard deviation.
   - \( n \) is the number of stocks.

Let me know if you’d like a detailed calculation with the percentage changes for each stock or if you have specific values for the mean and standard deviation from previous steps.

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### Related Questions

1. How do you calculate the t-value for different confidence levels?
2. Why is the t-distribution used instead of the z-distribution in this context?
3. How does sample size affect the width of the confidence interval?
4. Can confidence intervals be used to predict future stock prices?
5. How do outliers in stock data impact the confidence interval?

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### Tip:
When calculating percentage changes, ensure all intermediate values are kept to a few decimal places to minimize rounding errors.

Use the sample mean of these values to estimate the percentage change in the stock price over the first quarter. Then, calculate the 95% confidence interval estimate of the population mean percentage change in the price per share of stock during the first quarter.

Learn how to calculate the 95% confidence interval for the mean percentage change in stock prices over a quarter. This solution explains percentage change calculation, sample mean, standard deviation, and confidence interval formula. Ideal for undergraduate statistics.

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