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Manisha is a seasoned researcher who specializes in the science of sleep. She is interested in the effects of Melatonin on both length and quality
Manisha is a seasoned researcher who specializes in the science of sleep. She is interested in the effects of Melatonin on both length and quality of sleep, so she conducts a well-designed, controlled ex Melatonin before bedtime, while half are given a placebo. After verifying her assumptions, she calculates a 97% confidence interval of (-1, 1.12) for the difference in average number of hours slept per nigh received the placebo). Which of the following statements are accurate, regarding this interval? stion Select one or more: Da. We believe with 97% confidence that the true mean difference in average hours of sleep in a night between those who take 5mg of Melatonin before bedtime and those who don't is between -1 and O b. We cannot conclude that there is a difference between average hours slept per night with Melatonin and average hours slept per night without Melatonin. O c. There is a 97% chance that the true average difference in hours slept between the treatment group and the control group is between -1 and 1.12 hours. Od. 97% of future samples will give a difference in sample mean between the treatment group and the control group that fell into the interval (-1, 1.12). De. This is an observational study, so no confidence interval can be calculated. Of. If we were to repeat this experiment with many different random samples, we would expect about 97% of the arising confidence intervals to contain the true mean difference in average hours slept per O g. It is reasonable to conclude that there is a significant difference between average hours slept per night with Melatonin and average hours slept per night without Melatonin. 18
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