Approach 3:

This researcher only has access to a data set where the historical record high and low temperatures were collected approximately once per month. This data set is included below.

1. Should a hypothesis test be performed to determine whether the mean year in which a record low occurred is less than the midpoint value of the observation period? Explain why or why not use appropriate graphs to back up your answer.

Hint: The answer is no. Dont rely on just one graph (3 graphs).

\begin{tabular}{|l|r|r|r|r|} \hline Day & High & H_Year & Low & L_Year \\ \hline 1/2/2023 & 81 & 2022 & -6 & 1918 \\ \hline 2/1/2023 & 80 & 2002 & -9 & 1920 \\ \hline 3/3/2023 & 83 & 1997 & -1 & 1950 \\ \hline 4/2/2023 & 85 & 2012 & 14 & 1919 \\ \hline 5/2/2023 & 98 & 1990 & 29 & 1903 \\ \hline 6/1/2023 & 100 & 1944 & 36 & 1945 \\ \hline 6/25/2023 & 100 & 1907 & 47 & 1903 \\ \hline 7/1/2023 & 101 & 1990 & 44 & 1988 \\ \hline 8/6/2023 & 98 & 2011 & 48 & 1934 \\ \hline 9/5/2023 & 96 & 1907 & 45 & 1906 \\ \hline 10/5/2023 & 95 & 2019 & 29 & 1965 \\ \hline 11/4/2023 & 85 & 1901 & 23 & 1912 \\ \hline 12/4/2023 & 78 & 1998 & -4 & 1940 \\ \hline \end{tabular}