You are given the sample mean and the population standard deviation. Use this information to construct the 90% and Question list K 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of $122.00. Assume the population standard deviation is $16.50. O Question 7 . . . O Question 8 Construct a 90% confidence interval for the population mean. The 90% confidence interval is (,). (Round to two decimal places as needed.) O Question 9 O Question 10 Question 11 O Question 12 O Question 13Homework: Sec 6.1 HW Score: 45.24%, 9.5 of 21 Question 13. 6.1.39 points 0 Points: Oof1 Question list 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 l From a random sample of 52 business days, gold prices had a mean of $1 376.91. Assume the population standard deviation is $202.80. This creates a 90% condence interval for the population mean of ($1330.65, $1423.17). Does it seem possible that the population mean could equal the sample mean exactly? Explain. Choose the correct answer below. 0 A. (Q B. O c. O D. It is possible because the sample mean is outside of the condence interval. It is possible because the margin of error is small enough that the odds of selecting an exact value is not unlikely. It would be very unlikely because the margin of error is large enough that the odds of selecting an exact value is very low. It is not possible because the sample mean is inside of the condence interval