tat 243 Lab 4 Normal distribution

The salaries in a certain population are normally distributed with mean $57,873 and standard deviation $3,427.

Find the probability that a person has a salary below $48,000.
Find the probability that a person’s salary is between $50,000 and $60,000.
Find the probability of seeing a salary over $63,500.
Find the 90th percentile of the salaries.
Find the 25th percentile of the salaries.
Do you think that salaries would follow a symmetric, bell-shaped distribution? In your own words, explain why or why not.

Format all of your answers to 6 decimal places (in order to show that you used Excel, and not the tables).

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What are the characteristics of standard normal distribution? The HR department of an organization collects data on employees’ age, salary, level of education, gender, and ethnicity. Which data do you think is more likely to follow normal distribution? Explain why. What is the role of probability concepts in business decision-making? Provide specific examples. What are the differences between probability and coincidence? Can the probability be more than 1 or less than 0? Explain why or why not.
What is a distribution channel? What is the relationship between channels of distribution and logistics? How does geographical location affect your selection of distribution channels?
Student Instructions For each assignment, you will use the M.U.S.E. link to complete the lab. Access the M.U.S.E. by clicking on Learning Materials. https://class.aiu-online.com/_layouts/MUSEViewer/MUSE.aspx?mid=3319400 In this lab, you will determine how an invasive species—the zebra and quagga mussel—affects other species in the freshwater lake. Use the animation to help you come up with an answer to the following: Why do you see increases and decreases in the invasive species population? What are the implications associated with these alterations to the ecosystem as a whole? The Effects of Zebra and Quagga Mussels Introduced into a Freshwater Lake As you have learned, population dynamics are caused by the biotic potential of the population and the effects of environmental resistance. When there is minimal environmental resistance impacting a population, it will exhibit a population explosion. One reason for minimal resistance could be factors that no longer regulate a population (e.g., predator decline or resource increases). Another reason for a population explosion is the introduction of an invasive species. Invasive species are species foreign to an ecosystem and are not immediately regulated by the environmental restraints of the particular ecosystem that they invade. This in turn allows their populations to grow seemingly uncontrolled and to displace other indigenous populations. Examples of such an invasive species into North America are dreissenid mussels, commonly known as zebra and quagga mussels. Their introduction into the Great Lakes has caused economic hardship and a reorganization of the ecosystem. This has led, in part, to pollution-causing effects that can be linked to an alga known as Cladophora. Ecosystems are webs of intricately balanced interactions, what happens when a new species is introduced that uses a disproportionate share of the ecosystem’s resources? Using the M.U.S.E. link, review the background information and animation to complete your report. Use the Lab 5 worksheet for assignment instructions and data collection.
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