It is believed that glucose treatment will extend the sleep time of mice. In an experiment $10$ mice that are selected at random and given glucose treatment are found to have a mean hexabarbital sleep time of $47\mathrm{.}2$ min with a standard deviation of $9\mathrm{.}3$ min. A further sample of $11$ untreated mice are found to have mean hexabarbital sleep time of $28\mathrm{.}5$ min with a standard deviation of $7\mathrm{.}2$ min. At $1\%$ level are these results significant evidence in favour of the hypothesis $?$

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To determine if the results provide significant evidence in favor of the hypothesis that ... View the full answer