1. A population of values has a normal distribution with μ=182.1and σ=28.9. You intend to draw a random sample of size n=117.
Find the probability that a single randomly selected value isless than 187.7.
P(X < 187.7) =
Find the probability that a sample of size n=117is randomlyselected with a mean less than 187.7.
P(¯x < 187.7) = Â
2.
CNNBC recently reported that the mean annual cost of auto insuranceis 1045 dollars. Assume the standard deviation is 211 dollars. Youtake a simple random sample of 69 auto insurance policies.
Find the probability that a single randomly selected value is lessthan 977 dollars.
P(X < 977) =
Find the probability that a sample of size n=69= is randomlyselected with a mean less than 977 dollars.
P(¯xx¯ < 977) =
