Part 8 of 8

The 95% confidence interval of for the two year period return is ( -0.0239 , 0.0898 )

Question

Part 8 of 8

The 95% confidence interval of for the two year period return is ( -0.0239   , 0.0898 )

BlackTom AI · Accepted Answer

The question presents a two-part prompt where you must fill in the endpoints of a 95% confidence interval for the two-year period return, with the given interval originally stated as (-0.0239, 0.0898).

First value candidate: -0.0239
- This value corresponds to the lower bound of the interval. If the intended interpretation is a lower bound for the two-year return, -0.0239 is consistent with the provided interval and would be a plausible lower limit for the estimate. In other words, the statistic could plausibly fall as low as -2.39% over two years.

Second value candidate (provided in the answer set): 0.1277
- This value would be the upper bound if accepted as-is. However, the original interval shows the upper bound as 0.0898, not 0.1277. Therefore 0.1277 does not match the stated interval and would indicate an incorrect upper bound if the task is to reproduce the given 95% CI. It could reflect a miscalculation, a data-entry error, or a different interval not aligned with the prompt.

Comparing the pairings:
- If the task is to select the exact endpoints of the given 95% CI, the correct lower bound is -0.0239 and the correct upper bound is 0.0898. The pair (-0.0239, 0.0898) matches the text of the question.
- The combination (-0.0239, 0.1277) mixes a correct lower bound with an incorrect upper bound, which misrepresents the interval and would be considered wrong.

Common pitfalls to watch for:
- Assuming the numbers are percentages unless the context clearly uses decimal form; here the numbers appear as decimals (e.g., -0.0239 could mean -2.39%), so interpret accordingly based on the course convention.
- Mixing up endpoints: even a single incorrect endpoint changes the meaning of the confidence interval and could lead to wrong inference about statistical significance or precision.

If you’re unsure whether the interval should be read as percent or decimal, check the course notes or previous questions for the unit convention, but the explicit values given in the prompt define the interval as (-0.0239, 0.0898). The provided answer value 0.1277 does not align with that.

In summary, the lower endpoint -0.0239 aligns with the prompt, while 0.1277 does not match the stated upper endpoint 0.0898, making the pair (-0.0239, 0.1277) incorrect for reproducing the given 95% CI.

COMM_V 298 101 102 103 2025W1 Class 12 and 13 Practice Quiz

Part 8 of 8 The 95% confidence interval of for the two year period return is ( -0.0239 , 0.0898 )

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Part 7 of 8 The 95% confidence interval of for the annual return is ( [ Select ] -0.0536 -0.0012 -0.028 , [ Select ] 0.0792 0.0524 0.0536 )

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