A Statistics Professor Recently Graded Final Exams For Students In Her Introductory Statistics Course. In A Review Of Her

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!$$(67, 87)Answer ExplanationCorrect answers: $\left(67,\ 87\right)$(67, 87)A confidence interval is an interval of values, centered on a point estimate, of the form( pointestimatemarginof error,pointestimate+marginof error )Using the given point estimate for the mean, x =77 and margin of error 10 , the confidence interval is:(7710,77+10)(67,87)QUESTION 21/1 POINTSA random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p =0.14 , with a sampling standard deviation of p =0.02 , who preferred reading an e-book.Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e-books.That is correct!$$(0.10, 0.18)Answer ExplanationCorrect answers: $\left(0.10,\ 0.18\right)$(0.10, 0.18)By the Empirical Rule, a 95% confidence interval corresponds to a z -score of z =2 . Substituting the given values p =0.14 and p =0.02 ,