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In Lesson Eleven you've seen how to use chi-square tests to answer research questions relevant to those statistical analysis procedures. Respond to the following to demonstrate your grasp of these.

1. Describe a scenario where a researcher could use a Goodness of Fit Test to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use?
2. Describe a scenario where a researcher could use a Test for Independence to answer a research question. Fully describe the scenario and the variables involved and explain the rationale for your answer. Why is that test appropriate to use?
3. The Goodness of Fit Test and Test for Independence both use the same formula to calculate chi-square. Why? I.e., explain the logic of the test.
4. Compare the Goodness of Fit Test and the Test for Independence in terms of the number of variables and levels of those that can be compared. In what ways are they similar or different?
5. Describe how the Test for Independence and correlation are similar yet different.

Suppose the number of potholes per randomly select 300 ft stretch of roadway has a Poisson distribution with an average of 4 potholes per 300 ft section of roadway. If we randomly select a 300 ft section of roadway, what is the probability of at least 2 potholes in the section?

a) 0.96

b) 0.02

c) 0.74

d) 0.91

e) 0.93

E. canis is a tick-borne disease of dogs that is sometimes contracted by humans. Among infected humans, the distribution of white blood cell (WBC) counts has an unknown mean and standard deviation. In the general population, mean WBC is known to be μ=7250/mm . It is believed that persons infected with E. canis may have significantly different WBC counts, potentially making a WBC test an effective screening for E. canis in humans. In a sample of 15 people infected with E. canis, WBC count was ?=4767/mm with a standard deviation of s = 3204/mm . Answer the questions below. You must state your answers to all components below in a full sentence in a way that someone who isn’t in this class would understand. You may refer to the lectures, Test Yourself questions or the instructor for examples. (10 points)

• a) State the null and alternative hypotheses.

• b) Which statistical test will you use? Provide one reason why.

• c) Determine the appropriate critical value for the test you will use. Use an alpha of 0.05.

• d) Compute your test statistic and compare it to your critical value.

• e) Determine the p-value.

• f) What do you conclude?

• g) Would your conclusions be different had you chosen an alpha of 0.01?

h) By changing your alpha from 0.05 to 0.01 did you increase or decrease the probability of a Type
II error (false negative)?

Chapter 4, Section 3, Exercise 116 Lizards and Invasive Fire Ants This exercise addresses lizard behavior in response to fire ants. The red imported fire ant, Solenopsis invicta, is native to South America, but has an expansive invasive range, including much of the southern United States (invasion of this ant is predicted to go global). In the United States, these ants occupy similar habitats as fence lizards. The ants eat the lizards and the lizards eat the ants, and in either scenario the venom from the fire ant can be fatal to the lizard. A study explored the question of whether lizards learn to adapt their behavior if their environment has been invaded by fire ants. The researchers selected lizards from an uninvaded habitat (eastern Arkansas) and lizards from an invaded habitat (southern Alabama, which has been invaded for more than 70 years) and exposed them to fire ants. They measured how long it takes each lizard to flee and the number of twitches each lizard does. The data are stored in FireAnts. If lizards adapt their behavior to the fire ants, then lizards from the invaded habitats should flee from the fire ants faster than lizards from the uninvaded habitats. Test this hypothesis. Time to flee is measured in seconds, and lizards taking more than a minute to flee have recorded responses of 61 seconds. Let group 1 be lizards from invaded habitats and let group 2 be lizards from uninvaded habitats.

(b) Use StatKey or other technology to compute the p-value.

Round your answer to three decimal places.

p-value = ?

Complete a business leader profile using PowerPoint.

First, select a business leader that you know. Explain why you decided to focus on this person as a leader and make a post on this discussion board. The post should be at least one paragraph. This step is due by the end of week 4.

Second, Gather enough information that you are able to learn the traits that help them be a good leader and traits that undermine their leadership abilities, which leader power they use most frequently, which leadership theory most closely resembles their leadership style, how they drive change, and how they motivate their followers.

Third, compile your information and develop a PowerPoint presentation about your leader. Ensure that you cite references for the material you use in your presentation. You will receive 2 bonus points if you narrate your PowerPoint presentation.

Fourth, post your presentation as a post in the Module 7 discussion board. This step is due May 3rd in the module 7 discussion board.  

I already have my leader chosen. I do not understand how to evaluate the second part. I just need to know what the different traits, leader powers and leadership theories there are and what it means to drive change and motivate followers.

You are the owner of a discount furniture company that has expanded from a rural store in one state to 20 stores across the United States. Discuss at least one reason why your company should think about implementing an enterprise resource planning (ERP) solution. Discuss at least one challenge to implementing an ERP.

The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 24 items from the first population showed a mean of 113 and a standard deviation of 13. A sample of 18 items for the second population showed a mean of 103 and a standard deviation of 14. Use the 0.05 significant level.

a. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)

b. State the decision rule for 0.050 significance level. (Round your answer to 3 decimal places.)

c. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

d. What is your decision regarding the null hypothesis? Use the 0.05 significance level.