Salaries for teachers in a particular state have a mean of $ 47000 and a standard deviation of $ 6600. a. If we randomly select 18 teachers from that district, can you determine the sampling distribution of the sample mean? No v If yes, what is the name of the distribution? The mean? The standard error? b. If we randomly select 59 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? normal The mean? 47000 The standard error? 859.2468 c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal in order to answer? 18 d. Assuming a sample size of 59, 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 59, 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?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![Salaries for teachers in a particular state have a mean of $ 47000 and a standard deviation of $
6600.
a. If we randomly select 18 teachers from that district, can you determine the sampling distribution
of the sample mean?
No
If yes, what is the name of the distribution?
The mean?
The standard error?
b. If we randomly select 59 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? normal
The mean? 47000
The standard error? 859.2468
c. For which sample size would I need to know that population distribution of X, teacher salaries, is
normal in order to answer?
18 v
d. Assuming a sample size of 59, 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 59, 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad62fc97-a7fa-49d7-ba7c-e4727e0b57ad%2F34f53a8b-0b34-4b87-856e-d8919a494466%2Ffjbemq_processed.png&w=3840&q=75)
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