Final answer:
The correct answer is D. To determine the 95% confidence interval for the prices of the SLR camera, we need to calculate the mean, standard deviation, and t-value.
Step-by-step explanation:
To determine the 95% confidence interval for the prices of the SLR camera at the six randomly selected camera shops, we can use the formula:
CI = mean ± (t-value) × (standard deviation / √n)
where the mean is the average price, the standard deviation is the measure of variability, n is the number of data points, and the t-value is based on the desired confidence level and degrees of freedom.
Given the data, the mean is (324 + 352 + 328) / 3 = 334.67 and the standard deviation is √((324-334.67)^2 + (352-334.67)^2 + (328-334.67)^2)/3-1 = 13.11. With a 95% confidence level, the t-value for a sample size of 3 is 3.182.
Plugging in these values, the confidence interval is 334.67 ± (3.182) × (13.11 / √3) = 334.67 ± 18.80.
Therefore, the 95% confidence interval is approximately $315 to $354.