**Graded Discussion: Solve Normal Distribution Application**

For this graded discussion, you will be given a scenario to analyze using a cumulative from the mean z-table.

Requirements:

**A minimum of two posts is required**.

You must give a detailed solution for each part in your first post to get full credit.

It is not enough to just give the final answer. You must show steps or explain your reasoning.

If it is easier, you can write your solution out on paper, take a picture, and upload it to the discussion as a PDF file. The PDF file type is the only file type that will be accepted.

You will be able to see other students’ posts once you post your own solution.

Review their responses to determine if they agree with your own.

For your second post, reply to a classmate to indicate if your answers are the same or different from theirs.

If they are different, explain which post you think is correct, yours or theirs.

If your original post was incorrect, reply to yourself with a correction. Don’t worry! You will not lose points for an incorrect answer, as long as you make a reasonable effort at the first post and post a reply with the correct answer. **Complete required posts by the posted deadline**.

**Part 1: Prepare**

Familiarize yourself with the following data. *In 1955, scientists R.R. Sokal and P.E. Hunter analyzed the affects of pesticides on houseflies. Among the data sets they collected were samples of housefly wing lengths. These are normally distributed. The data they collected is summarized in the following frequency distribution.*

**Normally Distributed**

*Source: Sokal, R.R. and F.J. Rohlf, 1968. Biometry, Freeman Publishing Co., p 109. Original data from Sokal, R.R. and P.E. Hunter. 1955. A morphometric analysis of DDT-resistant and non-resistant housefly strains Ann. Entomol. Soc. Amer. 48: 499-507.

Part 2: First Post*

**Answer these questions**:

Find the mean and standard deviation of the sample of housefly wing lengths. (2 points)

List the data values that are within 2 standard deviations of the mean. Justify your answer. (2 points)

What percentage of the data values are within 2 standard deviations of the mean? (2 points)

Is this consistent with the Empirical Rule? Explain. (2 points)

**Part 3: Second Post**

For your second post, reply to a classmate to indicate if your answers are the same or different from theirs. If they are different, explain which post you think is correct, yours or theirs. (2 points)

If your original post was incorrect, reply to yourself with a correction. Don’t worry! You will not lose points for an incorrect answer as long as you make a reasonable effort at the first post and post a reply with the correct answer.

Note that **My Course Tutor** can help you **write** this **discussion posts** under our statistics assignment help services. We have **writing experts** who are qualified to handle mathematics and statistics courses at all academic learning levels.