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The management team decided that they wanted a really good test to decide whether to eliminate the night shift for safety reasons, so they were able

The management team decided that they wanted a really good test to decide whether to eliminate the night shift for safety reasons, so 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 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, stating the null and alternative hypotheses as well as test statistic you will use.

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