Show all work. If the value you are looking for is not on the z-table, choose the value closest to it. If the value is exactly halfway between two values, you have to take the average of the corresponding z-scores.

1-) Using the z-table, determine the z-score that corresponds to a cumulative area of 0.5948.

2-) Using the z-table, determine the z-score that has 15% of the area to the right of it.

3-) Scores for an admittance exam are normally distributed with a mean of 70 and a standard deviation of 9. A school will only accept students with scores in the top 10%. What is the lowest score a student can earn and still be accepted?

Multiple Choices:

1-) How is a sampling distribution of a population data set formed?

a.) When samples of different sizes are taken from a population

b.) When samples of size are repeatedly taken from a population

c.) When samples are not randomly selected

d.) When there is a bias among the members in the samples taken

2-)What does the Central Limit Theorem state?

a.) The mean and median of the data set will be the same for any distribution

b.) As more trials are run, the empirical probability will approach the actual probability of the event occurring

c.) A sampling distribution of sample means can be approximated using a normal distribution

d.) The empirical probability will always equal the actual probability for each trial