If a record high is equally likely to occur in any year of observation, the mean year

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If a record high is equally likely to occur in any year of observation, the mean year in which a record is observed would occur at the midpoint of the observation period, which is \((1871+2020) / 2=1945.5\). Test the hypothesis that the mean year in which a record high occurred is 1945.5 against the alternative that it is greater. What do you conclude?

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