Question 11/1 pointsA 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!open paren 67 comma 87 close paren$$open paren 67 comma 87 close paren - correctAnswer ExplanationCorrect answers: open paren 67 comma 87 close paren $\left(67,\ 87\right)$A confidence interval is an interval of values, centered on a point estimate, of the form( pointestimatemarginof error,pointestimate+marginof error )Using the given point estimate for the mean, x =77 and margin of error 10 , the confidence interval is:(7710,77+10)(67,87)Question 21/1 pointsA random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p =0.14 , with a sampling standard deviation of p =0.02 , who preferred reading an e-book.Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e-books.That is correct!open paren 0 point 1 0 comma 0 point 1 8 close paren$$open paren