# Question: The distribution ages for students at the state college is

The distribution ages for students at the state college is positively skewed with a mean of µ = 21.5 and a standard deviation of σ = 3.

a. What is the probability of selecting a random sample of n = 4 students with an average age greater than 23? (Careful: This is a trick question.)

b. What is the probability of selecting a random sample of n = 36 students with an average age greater than 23?

c. For a sample of n = 36 students, what is the probability that the average age is between 21 and 22?

a. What is the probability of selecting a random sample of n = 4 students with an average age greater than 23? (Careful: This is a trick question.)

b. What is the probability of selecting a random sample of n = 36 students with an average age greater than 23?

c. For a sample of n = 36 students, what is the probability that the average age is between 21 and 22?

**View Solution:**## Answer to relevant Questions

At the end of the spring semester, the Dean of Students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average ...Xu and Garcia (2008) conducted a research study demonstrating that 8-month-old infants appear to recognize which samples are likely to be obtained from a population and which are not. In the study, the infants watched as a ...The value of the z-score in a hypothesis test is influenced by a variety of factors. Assuming that all other variables are held constant, explain how the value of z is influenced by each of the following: a. An increase in ...A sample of n = 40 is selected from a normal population with µ = 75 msec. and s = 12, and a treatment is administered to the sample. The treatment is expected to increase scores by an average of 4 msec. a. If the treatment ...A random sample of n = 25 scores is selected from a normal population with a mean of µ = 40. After a treatment is administered to the individuals in the sample, the sample mean is found to be µ = 44. a. If the population ...Post your question