Final answer:
The point estimate of the population mean for the confidence interval with a lower bound of 15 and an upper bound of 29 is 22, and the margin of error is 7. Hence, the correct answer is d. x = 22, E = 7.
Step-by-step explanation:
To determine the point estimate of the population mean and the margin of error for the given confidence interval with a lower bound of 15 and an upper bound of 29, we need to understand that the confidence interval (CI) has the form (x − EBM, x + EBM), where x is the sample mean, and EBM is the error bound for the mean, also known as the margin of error.
We can find the point estimate by averaging the lower and upper bounds of the confidence interval. Therefore, the point estimate x = (lower bound + upper bound) / 2 = (15 + 29) / 2 = 22.
The margin of error, E, is half the width of the confidence interval. Thus, E = (upper bound - lower bound) / 2 = (29 - 15) / 2 = 7.
So the correct answer is d. x = 22, E = 7.