A national air traffic control system handled an average of 47,896 flights during 29 randomly selected days in a recent year. The standard deviation for this sample is6,425 flights per day. Complete parts a through c below.a. Construct a 99% confidence interval to estimate the average number of flights per day handled by the system.The 99% confidence interval to estimate the average number of flights per day handled by the system is from a lower limit ofto an upper limit of.(Round to the nearest whole numbers.) a. Construct a 99% confidence interval to estimate the average number of flights per day handled by the system.The 99% confidence interval to estimate the average number of flights per day handled by the system is from a lower limit ofto an upper limit of.(Round to the nearest whole numbers.)b. Suppose an airline company claimed that the national air traffic control system handles an average of 50,000 flights per day. Do the results from this sample validate the airline company's claim?O A. Since the 99% confidence interval contains 50,000, it cannot be said with 99% confidence that the sample validates the airline company's claim.O B. Since the 99% confidence interval does not contain 50,000, it can be said with 99% confidence that the sample validates the airline company's claim.O C. Since the 99% confidence interval contains 50,000, it can be said with 99% confidence that the sample validates the airline company's claim.O D. Since the 99% confidence interval does not contain 50,000, it cannot be said with 99% confidence that the sample validates the airline company's claim.c. What assumptions need to be made about this population?O A. Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is skewed to one side.O B. Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is not very skewed to one side.OC. Since the sample size is not greater than or equal to 30, one needs to assume that the population follows the Student's t-distribution.

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ights during 29 randomly selected days in a recent year. The standard deviation for this sample is nber of flights per day handled by the system. hts per day handled by the system is from a lower limit of to an upper limit of