Suppose nine items are sampled from a normally distributed population with a mean of 116 and a standard deviation of 24. The nine randomly sampled values are shown in the table.

146, 89 ,75, 109, 115, 73, 104, 53, 79

Calculate the probability of getting a sample mean that is smaller than the mean for these nine sampled values.

The probability that a sample mean is smaller than the mean for these nine values is ______________. (Round to four decimal places asneeded.)