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An insurance company, based on past experiences, estimates the mean damages for a natural disaster in its area is $5000. After introducing several plans to reduce loss, they randomly sample 20 policy holders and find its mean amount per claim to $4900 with a standard deviation of $1300. Does it appear the prevention plans were effective in reducing the mean amount of a claim? Use the 0.05 level of significance. Set up the Null and Alternate Hypothesis.

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