Parts a through c

Show transcribed image text 8. (4 points) Researchers collected data on the sleeping habits of 62 mammals, inclu number of hours of sleep they had. statistic favstats (TotalSleep, datamammals) ## mln Q1 median Q3 max ummary statistics of this variable are shown below. sd n missing 4 mean ## 2.6 8.05 10.45 13.2 19.9 10.53276 4.60676 58 (a) U sing the t-distri bution, compute a 95% confidence interval for the true mean number of hours of qt (cCo.005, o.025, o.o50, o.950, o.975, o.995), d – 56) ## [1] -2.666512-2.003241-1.672522 1.672522 qt (c(0.005, 0.025 , 0.050 , 0.950 , 0.975, 0.995), df 57) sleep that mammals get. You may find the following information helpful 2.003241 2.666512 2.002465 2.664870 ## [1] -2.664870-2.002465-1.672029 1.672029 qt (c (0.005, 0.025, 0.050, 0.950 , 0.975 , 0.995), df = 61) ## [1] -2.658857-1.999624-1.670219 1.670219 1.999624 2.658857 b) If you had computed this confidence interval using the normal approximation, would you have obtained importantly different results? Explain your answer.

8. (4 points) Researchers collected data on the sleeping habits of 62 mammals, inclu number of hours of sleep they had. statistic favstats (TotalSleep, datamammals) ## mln Q1 median Q3 max ummary statistics of this variable are shown below. sd n missing 4 mean ## 2.6 8.05 10.45 13.2 19.9 10.53276 4.60676 58 (a) U sing the t-distri bution, compute a 95% confidence interval for the true mean number of hours of qt (cCo.005, o.025, o.o50, o.950, o.975, o.995), d – 56) ## [1] -2.666512-2.003241-1.672522 1.672522 qt (c(0.005, 0.025 , 0.050 , 0.950 , 0.975, 0.995), df 57) sleep that mammals get. You may find the following information helpful 2.003241 2.666512 2.002465 2.664870 ## [1] -2.664870-2.002465-1.672029 1.672029 qt (c (0.005, 0.025, 0.050, 0.950 , 0.975 , 0.995), df = 61) ## [1] -2.658857-1.999624-1.670219 1.670219 1.999624 2.658857 b) If you had computed this confidence interval using the normal approximation, would you have obtained importantly different results? Explain your answer.