Question

1) What is the probability of getting a value less than z = 1.68?

2) A random variable, x, has a normal distribution with μ = 13.6 and σ = 2.90, what is the value for x that separates the top 5% from the bottom 95%?

3) Recently the State Fish and Game planted several thousand tagged fish in a local river. The mean length of these fish, which constitute a population, is 12.6 inches. Yesterday, fishermen caught 100 of these tagged fish. You could expect that the mean length for these fish would be _______ inches, since they come from the same population.

4) Suppose that a population is known to be normally distributed with mean = 2,000 and standard deviation = 230. If a random sample of size n = 16 is selected, calculate the probability that the sample mean will exceed 2,100.

Answer 1