A hospital administrator wants to estimate the mean length of stay for all inpatients using that hospital. Using a random sample of 100 records of patients for the previous year, she reports that "the sample mean was 4.5 days. In repeated random samples of this size, the sample mean could be expected to fall within one day of the true mean about 90% of
the time." Explain the meaning of this sentence from the report, showing what it suggests about the 90% confidence interval. A 90% confidence interval for the sample mean is (_,_)
(Type integers or decimals. Do not round.)