According to a  survey, high school girls average 100 text m…

According to a  survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the population standard deviation is 20 text messages. Suppose a random sample of 50 high school girls is taken.What is the probability that the sample mean is less than 95? 

A study by Allstate Insurance Co. finds that 82% of teenager…

A study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (the Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken.What is the probability that the sample proportion is less than .80?

Last year, the typical college student graduated with $27,30…

Last year, the typical college student graduated with $27,300 in debt (The Boston Globe, May 27, 2012). Let debt among recent college graduates be normally distributed with a standard deviation of $6,000.What is the probability that the average debt of two recent college graduates is more than $28,000? 

Trader Joe’s is a privately held chain of specialty grocery…

Trader Joe’s is a privately held chain of specialty grocery stores in the United States. Starting out as a small chair of convenience stores, it has expanded to over 340 stores as of June 2010 (http://Tradejoe.com). It has developed a reputation as a unique grocery store selling products such as gourmet foods, beer and wine, bread, nuts, cereal, and coffee. On of their best-selling nuts is Raw California Almonds, which are prices at $4.49 for 16 ounces. Since it is impossible to pack exactly 16 ounces in each packet, a researcher has determined that the weight of almonds in each packet is normally distributed with a mean of 16.01 ounces and a standard deviation of 0.08 ounces. True or False:  The sampling distribution of the sample mean is approximately normal based on any given sample size.