1 Some variables of interest has a a left skewed distribution with a mean of 100 and a standard deviation of 10. we take a random sample of size 5.

can we calculate the probability that the sample mean is between 95 and 120? (you do not need to actually calculate the probability for this question.)

a. yes, and the calculated probability would be exact

b. yes, and the calculated probability would be approximate

c. no.

2 Some variables of interest has a normal distribution with a mean of 100 and a standard deviation of 10. We take a random sample of size 5.

can we calculate the probability that the sample mean is between 95 and 120? (you do not need to actually calculate the probability for this question.)

a. no

b. yes, and the calculated probability would be exact

c. yes, and the calculated probability would be approximate

3 Some variables of interest has a normal distribution with a mean of 100 and a standard deviation of 10. We take a random sample of size 50.

can we calculate the probability that the sample mean is between 95 and 120? (you do not need to actually calculate the probability for this question.)

a. no

b. yes, and the calculated probability would be exact

c. yes, and the calculated probability would be approximate

4 Some variables of interest has a a left skewed distribution with a mean of 100 and a standard deviation of 10. we take a random sample os size 50.

can we calculate the probability that the sample mean is between 95 and 120? (you do not need to actually calculate the probability for this question.)

a. yes, and the calculated probability would be approximate

b. yes, and the calculated probability would be exact

c. no.

5 weights of suitcases checked in at the airport follow a normal distribution with mean 28 pounds and standard deviation 5 pounds. What is the probability that the total weight of a random sample of six suitcases is greater than 180 pounds?

keep 4 decimal places in intermediate calculations and report your final answer to 4 decimal places.