(All Steps) The dean of admissions in a large university has determined that the scores of the freshman class in a mathematics test are normally distributed
Question: The dean of admissions in a large university has determined that the scores of the freshman class in a mathematics test are normally distributed with a mean of 86 and a standard deviation of 11. A sample of 50 students is selected at random from the entire freshman class. Based on this information, what is the standard deviation of the sampling distribution of the sample mean?
- What is the probability that the sample mean differs from the population mean by less than 3?
- Within what limits would you expect the sampling average to be with a probability of .90 or 90%?
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