The standard deviation of the lengths of hospital stay on the intervention ward is 7.3 days.   a. For the variable​ "length of hospital​ stay," determine the sampling distribution of the sample mean for samples of 90 patients.   The sampling distribution will be approximately normal with mean μ and standard deviation σx=enter your response here days. ​(Round to four decimal places as​ needed.) c. Obtain the probability that the sampling error made in estimating the population mean length of stay by the mean length of stay of a sample of 90 patients will be at most 2 days.   The probability is approximately enter your response here. ​(Round to three decimal places as​ needed.)

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