A software development team is testing two algorithms for sorting large datasets.

They take a sample of $8$ datasets and apply both algorithms to each dataset. The

team records the time taken to sort each dataset with both algorithms. The times

$($in seconds$)$ are shown in the table below:

Algorithm A Algorithm B

$113\mathrm{.}211\mathrm{.}5$

$217\mathrm{.}316\mathrm{.}8$

$321\mathrm{.}120\mathrm{.}9$

$411\mathrm{.}912\mathrm{.}5$

$514\mathrm{.}513\mathrm{.}8$

$622\mathrm{.}222\mathrm{.}5$

$719\mathrm{.}619\mathrm{.}3$

$($a$)$ In hypothesis testing, what does the level of significance control? When should it

be selected?