How do you solve this question? And if possible, how to you do this on a TI-nspire CAS caculator? Thank you. 8.3.23Question HerPsTo test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night, researchersConstruct a 90% confidence interval, using the inequality d-te< Pa

To test the effectiveness of a new drug that is reported to increase the number of hours of sleep during the night. sleep without drug sleep using the drug 3.8 6.2 2.8 4.9 3.4 5.6 2.3 3.7 3.5 6 4.1 5 3.9 4.6 3.5 4.3 2.1 2.8 2.8 4.9 2.9 4.6 4.4 5.7 5.6 6.3firstly, we calculate the difference (d) between the two variables that are sleep without drug and sleep using the drug. Then we find the mean and standard deviation of the variable. The df is 12 as n= 13 and for paired test for means the df= n-1. The t stat that is the tabulated value of the t statistic is 1.78 at 0.1 level of significance. sleep without drug sleep using the drug d 3.8 6.2 -2.4 2.8 4.9 -2.1 3.4 5.6 -2.2 2.3 3.7 -1.4 3.5 6 -2.5 4.1 5 -0.9 3.9 4.6 -0.7 3.5 4.3 -0.8 2.1 2.8 -0.7 2.8 4.9 -2.1 2.9 4.6 -1.7 4.4 5.7 -1.3 5.6 6.3 -0.7 The mean of d d ¯=∑i=1ndin=-19.513= -1.5 The variance and standard deviation of d is given as follows s2d = ∑i=1n(di-d¯)2n-1=5.8812=0.49sd= 0.49= 0.7 The confidence interval is given as: d¯ -tc sdn<μd<d¯ +tc sdn now , we put the values in the above equation: -1.5 - (1.7823) 0.713<μd< -1.5+ (1.7823)0.713 -1.85<μd<-1.15