# Question: Breakfast cereal is packed into packages labeled net weight 20

Breakfast cereal is packed into packages labeled “net weight 20 ounces, packed by weight not by volume; some settling may occur during shipment.” However, weights of individual packages are not really all exactly equal to 20 ounces—although they are close, they do have some randomness. Based on past observation, assume that the mean weight is 20.04 ounces, the standard deviation is 0.15 ounce, and the distribution is approximately normal. Consider the average weight of 30 packages selected independently at random.

a. What is the mean weight of this random variable?

b. How variable is this random variable?

c. What is the approximate probability that the average weight is less than 20 ounces?

a. What is the mean weight of this random variable?

b. How variable is this random variable?

c. What is the approximate probability that the average weight is less than 20 ounces?

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

A typical incoming telephone call to your catalog sales force results in a mean order of $28.63 with a standard deviation of $13.91. You may assume that orders are received independently of one another. a. Based only on this ...Consider the percent change in revenues for the five largest soap and cosmetics firms as shown in Table 8.6.3. View this list as a (very small!) population with just N = 5 units. Consider drawing samples of size n = 2. a. ...Based on careful examination of a sample of size 868 taken from 11,013 inventory items in a warehouse, you learn that 3.6% are not ready to be shipped. a. Find the standard error associated with this estimated percentage and ...Continuing with the sample from the preceding exercise: a. Find the population mean for salary. b. Compare this population mean to the sample average for salary. In particular, how many standard errors apart are they? c. ...a. What additional criterion must be satisfied for a one-sided confidence interval to be valid (in addition to the two assumptions needed for a two-sided confidence interval)? b. If in doubt, should you use a one-sided or a ...Post your question