Question: A sample of n=36 is selected from a normal population with = 100 and = 42. If the mean of the sample is M= 114,

A sample of n=36 is selected from a normal population with = 100 and = 42. If the mean of the sample is M= 114, What is the z-score of the sample?

Karen sleeps with an average of = 64 women every year. The distribution of her number of sexual partners is approximately normal with a standard deviation of = 11. For a randomly selected year, what is the probability that Karen's number of sexual partners will be between 20 and 86 women.

If random samples, each with n = 12 scores, are selected from a normal population with = 35 and = 4, then what is the expected value of the mean of the distribution of sample means?

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