Question

Researchers Stickgold, James, and Hobson investigated delayed effects of sleep deprivation on learning in a study published in Nature Neuroscience (2000). Twenty-one volunteers, aged 18–25 years, were first trained on a visual discrimination task that involved watching stimuli appear on a computer screen and reporting what was seen.one group was randomly assigned to be deprived of sleep for 30 hours, followed by two full nights of unrestricted sleep, whereas the other group was allowed to get unrestricted sleep on all three nights. Following this, both groups were retested on the task to see how well they remembered the training from the first day. Researchers recorded the improvement in performance as the decrease in time required at retest compared to training. The goal of the study was to see whether the improvement scores tend to be higher for the unrestricted sleep treatment than for the sleep deprivation treatment.

What is the parameter of interest?

State the appropiate null and alternative hypothesis

Answer 1

The parameter of interest : population mean time required at retest compared to training for unrestricted sleep group and sleep deprived group.

The null and alternative hypothesis

Where is the mean time required at retest compared to training for unrestricted sleep group

and   is the mean time required at retest compared to training for sleep deprived group