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A normally distributed population has a mean of 500 and a standard deviation of 60.

a. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 475.

b. Determine the probability that a random sample of size 25 selected from the population will have a sample mean greater than or equal to 515.

Suppose nine items are randomly sampled from a normally distributed population with a mean of 100 and a standard deviation of 20. The nine randomly sampled values are

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