The management team at a manufacturing plan is contemplating eliminating the night shift for safety reasons after suspicion that lack of sleep was the primary driver in workplace accidents. They were able to track down seven employees who had spent significant time on both the day and night shift to see how many hours they slept while they were on each shift. Since this data eliminates the sleep differences based on the individual, management thinks it's the best way to determine how the night shift affects sleep patterns, despite the small sample size. Given the table of results below, can we say with 99% confidence that workers on the night shift get less sleep than those on the day shift? In your answer, please use the critical-value method.

Worker	Day Shift Hours Slept	Night Shift Hours Slept
1	7.5	6
2	9	7
3	6	6
4	7	7.5
5	7	5
6	8.5	5
7	8	6

For the answer, please define the null and alternative hypothesis, state the significance level, compute value of test statistic, find critical value/p-value, and decide whether we reject/accept it.

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