From a previous report, the mean number of days for patients waiting for bypass surgery is 18.2 days with a standard deviation of approximately 10 days. The population distribution is skewed right (positively skewed).
a) If we drew a random sample of 22 patients waiting for bypass surgery, then would it be reasonable to say that the sampling distribution of a sample mean, , will be approximately normal? Answer either yes or no.
b) A random sample of 50 patients waiting for bypass surgery was selected. Calculate the mean and the standard deviation of the sampling distribution. Round the standard deviation to 4 decimal places.
c) What is the probability that the average time for these 50 patients waiting for bypass surgery is less than 22 days? Hint: Find .
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