STAT 200 WEEK 8 HOMEWORK [SOLVED GRADE A]

Question 1 (0.5 points) A team of cognitive psychologists studying the effects of sleep deprivation on short-term memory decay had eight participants stay in a sleep lab for two days. Four participants were randomly assigned to a condition in which they were not permitted to sleep during that period, while the other four participants were allowed to sleep when they wanted to. At the end of the two days, the participants completed a short-term memory task that yielded the results in the table that follows. Mean Number of Letters Remembered Sleep Deprived Normal Sleep 7 9 8 8 7 11 9 7 Using the .05 significance level, did sleep deprivation reduce short-term memory? Choose the correct HO and HA statements: Question 1 options: A) HO : μdeprived = μnormal HA : μdeprived μnormal B) HO : μdeprived = μnormal HA : μdeprived ≠ μnormal C) HO : pdeprived = pnormal HA : pdeprived pnormal D) HO : μdeprived = μnormal HA : μdeprived μnormal Question 2 (1 point) A team of cognitive psychologists studying the effects of sleep deprivation on short-term memory decay had eight participants stay in a sleep lab for two days. Four participants were randomly assigned to a condition in which they were not permitted to sleep during that period, while the other four participants were allowed to sleep when they wanted to. At the end of the two days, the participants completed a short-term memory task that yielded the results in the table that follows. Mean Number of Letters Remembered Sleep Deprived Normal Sleep 7 9 8 8 7 11 9 7 Using the .05 significance level, did sleep deprivation reduce short-term memory? The most appropriate hypothesis test to use for this scenario is: Question 2 options: A) t - test for independent means B) t – test for dependent means C) two-population proportion t-test D) z – test for two population means E) Χ 2 test for independence