A scientific study was conducted to determine the hours of sleep that college students get per night. The study surveyed 45 college students and obtained the following data:8.1,8.8,8.2,7.7,8.7,8.7,8.3,7.8,7.7,8.4,7.7,8,8.4,7.9,7.9,8.1,7.8,8.3,7.9,7.7,8,7.4,7.8,7.4,8.4,8,7.7,7.5,7.3,7.8,7.8,7.2,9.4,8.2,8.4,8,7.3,7.8,8.1,7.6,7.8,7.1,8.9,7.1,7.2Construct a 86% confidence interval for the average hours of sleep per night that college students get.\begin{array}{l}
\bar{x}=\square\
\alpha=\square\
t_{(\alpha/2)}=\square\
\end{array}Margin of Error: E=We are 86% confident that college students get an average of between hours and hours of sleep per night.Question Help:ReadSubmit Question Get tutor help2.) France conducts a study of families that visit the country each year as tourists. The fraction of such families of size m is 288−m. For a family of size m that visits France, the number of members of that family that visit Paris follows a discrete uniform distribution on the set 1,2,…,m. Calculate the probability that a family has exactly 6 members, given that exactly 5 members of that family visit Paris. Get tutor help