Nitric oxide is sometimes given to newborns who experience respiratory failure. In one experiment, nitric oxide was given to 114 infants. This group was compared to a control group of 121 infants. The length of hospitalization (in days) was recorded for each of the 235 infants. The mean in the nitric oxide sample was 1 = 36.4: the mean in the control sample was 2 = 29.5. A 95% confidence interval for μ1 - μ2 is (-2.3,16.1), where μ1 is the population mean length of hospitalization for infants who get nitric oxide and μ2 is the mean length of hospitalization for infants in the control population For each of the following, say whether the statement is true or false and explain why.
(a) 95% of infants who experience respiratory failure would have their hospital stays altered by between a 2.3-day decrease to a 16.1-day increase if they received nitric oxide.
(b) We are 95% confident that nitric oxide has no effect on the length of hospitalization.
(c) We are 95% confident that if nitric oxide affects the-length of hospitalization, its effect is less than 16.1 days, on average.