$3.$ Show the R command to find the midpoint of the temperature data. Calculate and show the midpoint as a number using the R command in the temperature data from $1893$ to $2023.$

$4.$ Show the R command to filter the low values. Use these low values and show the R command to calculate the mean value of these filtered low values. Show the low value calculated as a number.

$5.$ Show the R command to calculate the mean year in which a record low occurred. Show the mean year.

$6.$ Set up a new null hypothesis that the mean year in which a record low occurred above in question $5$ is equal to the midpoint value of the observation period. H$0=$ mean year with record low $=$ midpoint value of the observation period. H$1$ mean year with record low $!=$ midpoint value of observation period.

$7.$ Show the R command to test these two hypotheses in question $6$ above. Show and state the p value of the test for these two hypotheses in question $6,$ and then state whether the null hypothesis is rejected or not.

$8.$ Based on the test performed, what is your conclusion about whether there has been a warming trend at the Blue Hill Meteorological Observatory? Give a comment about if the data shows a warming trend or it does not show a warming trend$(5)$