# Question: The purpose of this mini project is to help you verify

The purpose of this mini-project is to help you verify the Rule for Sample Means, using a physical simulation. Suppose you are interested in measuring the average amount of blood contained in the bodies of adult women, in ounces. Suppose, in truth, the population consists of the following listed values. (Each value would be repeated millions of times, but in the same proportions as they exist in this list.) The actual mean and standard deviation for these numbers are 110 ounces and 5 ounces, respectively. The values are bell-shaped.

Population Values for Ounces of Blood in Adult Women

Step 1: Develop a method for drawing simple random samples from this population. One way to do this is to write each number on a slip of paper, put all the slips into a paper bag, shake well, and draw from the bag. If a number occurs multiple times, make sure you include it that many times. Make sure you actually get random samples. Explain your method.

Step 2: Draw a random sample of size 9. Calculate and record the mean for your sample.

Step 3: Repeat step 2 a total of 20 times, thus accumulating 20 samples, each of size 9. Make sure to start over each time; for example, if you drew numbers from a paper bag, put the numbers back after each sample of size 9 so they are available for the next sample as well.

Step 4: Create a stemplot or histogram of your 20 sample means. Compute the mean of those sample means.

Step 5: Explain what the Rule for Sample Means tells you to expect for this situation.

Step 6: Compare your results with what the Rule for Sample Means tells you to expect. Be sure to mention mean, standard deviation, shape, and the intervals into which you expect 68%, 95%, and almost all of the sample means to fall.

Population Values for Ounces of Blood in Adult Women

Step 1: Develop a method for drawing simple random samples from this population. One way to do this is to write each number on a slip of paper, put all the slips into a paper bag, shake well, and draw from the bag. If a number occurs multiple times, make sure you include it that many times. Make sure you actually get random samples. Explain your method.

Step 2: Draw a random sample of size 9. Calculate and record the mean for your sample.

Step 3: Repeat step 2 a total of 20 times, thus accumulating 20 samples, each of size 9. Make sure to start over each time; for example, if you drew numbers from a paper bag, put the numbers back after each sample of size 9 so they are available for the next sample as well.

Step 4: Create a stemplot or histogram of your 20 sample means. Compute the mean of those sample means.

Step 5: Explain what the Rule for Sample Means tells you to expect for this situation.

Step 6: Compare your results with what the Rule for Sample Means tells you to expect. Be sure to mention mean, standard deviation, shape, and the intervals into which you expect 68%, 95%, and almost all of the sample means to fall.

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

Carry out the simulation in Mini-Project # 1 using a computer or website instead of physically doing so. Go through the same steps and answer the same questions. A study first reported in the Journal of the American Medical Association (7 December 1994) received widespread attention as the first wide-scale study of the use of alcohol on American college campuses and was the subject ...In each situation, explain why you think that the sample proportion should or should not be used to estimate the population proportion. a. An Internet news organization asks visitors to its website to respond to the ...What level of confidence would accompany each of the following intervals? a. Sample proportion ± 1.0(SEP) b. Sample proportion ± 1.645(SEP) c. Sample proportion ± 1.96(SEP) d. Sample proportion ± 2.576(SEP) Refer to Case Study 21.1, illustrating the role of calcium in reducing the symptoms of PMS. Using the caution given at the end of the case study, explain why we cannot use the method presented in Section 21.2 to compare ...Post your question