Final answer:
Without Georgianna's specific claim or the p-value for the data regarding the years of piano lessons, we cannot evaluate her claim with the standard deviation of 2.3 years using a significance level of 0.05. Based on the information provided, we must conclude we have insufficient data to make a decision.
Step-by-step explanation:
To evaluate Georgianna's claim about years of piano lessons with a standard deviation of 2.3 years using a significance level of 0.05, certain steps of hypothesis testing should be followed. Since we are given the standard deviation and not the exact claim made by Georgianna, we cannot fully address her claim. However, by using the data provided, we can assume that an appropriate null and alternate hypothesis are set, and the p-value has been calculated from the sample data.
For example, let's say Georgianna claims that the average years of piano lessons people take is a certain number, and the standard deviation is a measure of variability around that mean. The p-value would allow us to decide whether to reject the null hypothesis (that the average is a specific number) or not reject it, based on the calculated p-value relative to our alpha level (0.05 in this case), which represents the level of significance.
If the p-value is less than 0.05, we reject the null hypothesis, indicating that there is sufficient evidence to say that the claim about the average years of piano lessons is not what was hypothesized. If the p-value is greater than 0.05, then we do not reject the null hypothesis, meaning there isn't enough evidence to say that the claim is untrue. Therefore, without the specifics of Georgianna's claim or the p-value, we must conclude we have insufficient data to make a decision.