Can you help out on these questions?

Salaries for teachers in a particular state have a mean of $ 42000 and a standard deviation of $ 4900. a. If we randomly select 18 teachers from that district, can you determine the sampling distribution of the sample mean? Yes v If yes, what is the name of the distribution? The mean? The standard error? b. If we randomly select 69 teachers from that district, can you determine the sampling distribution of the sample mean? Yes v f yes, what is the name of the distribution? The mean? The standard error? in order to answer? c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal 69 v d. Assuming a sample size of 69, 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 69, 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?Test the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level. The null and alternative hypothesis would be: Ho:p 20.1 Ho:u 0.1 Hi:p > 0.1 Hi :p O.1 Hi :p Next