In: Statistics and Probability
Number 5 (8 pts) An analysis of variance on the mean number of hours that Glendon students sleep the night after consuming either one of two different brands of energy drinks or an herbal tea at lunch indicates that the means are not all the same. Further data is gathered, with the following results
Treatment | SAMPLE SIZE | Mean number of hours of sleep | Standard deviation of hours of sleep |
DRINK A | 21 | 7.5 | 0.5 |
DRINK B | 21 | 7.8 | 0.3 |
HERBAL | 21 | 8 | 0.6 |
Use a contrast to test at a 5% level of significance whether the energy drinks lead to a lower number of mean hours of sleep than the herbal tea.