Construct an approximate 0.95 confidence interval for alpha (Pareto distribution)

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I tried doing it by using the hint from the final answer but my answer is not the same. I also tried to do it using the mean and variance of Pareto distribution but I also did not get the right answer.

Here is my answer:

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Can someone point out what I did wrong cause I tried many different ways and still could not get the right answer?

Thank you so much.