Salaries for teachers in a particular state have a mean of $ 49000 and a standard deviation of $ 5500. If we randomly select 12 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution? The mean? The standard error? b. If we randomly select 61 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution? The mean? The standard error? c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal in order to answer? 61 d. Assuming a sample size of 61, what is the probability that the sampling error is within $1000. (In other words, the sample mean is within $1000 of the true mean.) e. Assuming a sample size of 61, what is the 90th percentile for the AVERAGE teacher's salary? f. Assuming that teacher's salaries are normally distributed, what is the 90th percentile for an INDIVIDUAL teacher's salary? 1:04 A

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The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.