Suppose nine items are sampled from a normally distributed population with a mean of

92

and a standard deviation of

20

The nine randomly sampled values are shown in the table.

130	120	43	60	100
121	92	54	115

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

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Part 1

The probability that a sample mean is larger than the mean for these nine values is