hello can you please help me out with questions 1, 2, 3, please I have an exam and this was part of my study Guide I just didn't understand these three questions

1. Does too much sleep impair intellectual performance? Researchers examined this commonly held belief by comparing the performance of subjects on the mornings following (a) two normal night's sleep and (b) two nights of \"extended sleep.\" The order of these two treatments was determined randomly. In the moming they were given a number of tests of ability to think quickly and clearly. One test was for vigilance where the lo_we_r the score, the more vigilant the subject, (vigilance = alertness). The following data were collected: Viilanee Score Normal Slce \"I! \"u \"mum\" nu Differences Carry out an appropriate test to help answer the researchers' question. The dotplot of the data do not show signs of strong skewness or outliers. 2. In many parts of the northern United States, two color variants of the Eastern Gray Squirrelgray and blackare found in the same habitats. A scientist studying squirrels in a large forest wonders if there is a difference in the sizes of the two color variants. He collects random samples of 40 squirrels of each color from a large forest and weighs them. The 40 black squirrels have a mean weight of i, = 20.3ounces and a standard deviation of 3,3 = 2.1 ounces. The 40 gray squirrels have a mean weight of Tr'G = 19.2 ounces and a standard deviation of 5'6 = 1.9 ounces. There are no outliers in either sample. Carry out an appropriate test to determine if there is a difference in sizes of the two color variants of the Eastern Grey Squirrel. 3. Nicotine patches are often used to help smokers quit. Does giving medicine to fight depression also help? A randomized double-blind experiment assigned 244 smokers to receive nicotine patches and another 245 to receive both a patch and the antidepressant drug bupropion. After a year, 40 subjects in the nicotine patch group had abstained from smoking, as had 87 in the patch-plus-drug group. (a) Construct and interpret a 99% confidence interval for the difference in the proportion of smokers who abstain when using buproprion and a nicotine patch and the proportion who abstain when using only a patch. (b) Based only on this interval, do you think that the difference in proportion of abstaining smokers is significant? Justify your answer. w