Based on a random sample of 1020 adults, the mean amount of sleep per night is 8.92 hours. Assuming the population standard deviation for amount of sleep per night is 2.3 hours, construct and interpret a 90% confidence interval for the mean amount of sleep per night. A 90% confidence interval is (,). (Round to two decimal places as needed.) Interpret the confidence interval. O A. There is a 90% chance that the true value of the mean will equal the mean of the interval. O B. We are 90% confident that the interval actually does not contain the true value of the mean. O C. We are 90% confident that the interval actually does contain the true value of the mean. O D. There is a 90% chance that the true value of the mean will not equal the mean of the interval.A hungry college student just finished eating a large cheese and pepperoni pizza from Doug's Pizza Palace and felt there wasn't enough cheese and pepperoni on it as he has had large pizzas with more cheese and pepperoni on it from this place in the past. This led him to wonder what the average weight of a large cheese and pepperoni pizza was at Doug's Pizza Palace. Doug ordered a large cheese and pepperoni pizza from Doug's Pizza Palace on 15 randomly selected days during a particular term and weighed each before eating it. Suppose all conditions are met for inference using the one-sample t-methods. The student constructed a 95% confidence interval for the population mean using the one-sample t- methods. How many degrees of freedom does the t critical value have? Choose the correct answer below. O A. 14 O B. 15 O C. 1.96 O D. The critical t-value does not have degrees of freedom