Suppose the mean GPA of BYU-Idaho students is 3.5 and the standard deviation is 0.7. It is well known that this distribution is left-skewed.

1. If you take a random sample of 81 BYU-Idaho students, what is the distribution of sample means of these GPA's? Give the shape, the mean, and the standard deviation.

2. What is the probability that the mean GPA for 81 randomly selected BYU-Idaho students will be less than 3.3?

The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. The interval of time between eruptions is normally distributed with a standard deviation of 21.25 minutes.

3. What is the probability that a randomly selected time interval between eruptions is greater than 95 minutes?

4. Suppose a simple random sample (SRS) of 10 time intervals between eruptions was measured. What is the probability that a random sample of 10 time intervals between eruptions has a mean longer than 95 minutes?

The label on a one gallon jug of milk states that the volume of milk is 128 fluid ounces (fl.oz.) Federal law mandates that the jug must contain no less than the stated volume. The actual amount of milk in the jugs is normally distributed with mean