Week 6 QuizQuestion 1A statistics professor recently graded final exams for students in her introductory statistics course. In a review of her grading, she found the mean score out of 100 points was a x =77 , with a margin of error of 10. Construct a confidence interval for the mean score (out of 100 points) on the final exam.That is correct!Answer: (67, 87)Question 2A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p =0.14 , with a sampling standard deviation of p =0.02 , who preferred reading an e-book.Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e-books.That is correct!Answer: ( 0.10, 0.18)Question 3The pages per book in a library are normally distributed with an unknown population mean. A random sample of books is taken and results in a 95% confidence interval of (237,293) pages.What is the correct interpretation of the 95% confidence interval?That is correct!We estimate with 95% confidence that the sample mean is between 237 and 293 pages.We estimate that 95% of the time a book is selected, there will be between