MAT 300 Week 9 Discussion Correlation and Regression Updated

MAT 300 Week 9 Discussion Correlation and Regression Updated

MAT 300 Week 9 Discussion -
“Correlation and Regression” (Note: Please respond to one [1] of the following two [2] bulleted items):
• Debate the following statement: “Correlation means Causation.” Determine whether this statement is true or false, and provide reasoning for your determination, using the Possible Relationships Between Variables table from your textbook.
• Biddle and Hamermesh (1990) built a multiple regression model to study the tradeoff between time spent in sleeping and working and to look at other factors affecting sleep:
Sleep = β0 + β1 totwrk + β2 educ + β3 age + ε
where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. Suppose the following equation is estimated:
Sleep = 3500 – 0.15 totwrk – 11.20 educ + 2.29 age + ε
o Discuss what would happen to someone’s sleep if they choose to work more.
o Analyze whether the factors of totwrk, educ, and age are enough factors to explain the variation in sleep. Explain which additional factors should be explored in order to explain the variation in sleep. Provide your reasoning.

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MAT 300 Week 8 Discussion You Can’t Prove the Null by Not Rejecting It Updated

MAT 300 Week 8 Discussion You Can’t Prove the Null by Not Rejecting It Updated

MAT 300 Week 8 Discussion -
“You Can’t Prove the Null by Not Rejecting It” (Note: Please respond to one [1] of the following two [2] bulleted items)
• Debate if “failing to reject the null” is the same as “accepting the null.” Support your position with examples of acceptance or rejection of the null. Next, give your opinion on whether or not a failed t test “proves” the null hypothesis.
• Take a position on this statement: In setting up a hypothesis test, the claim should always be written in the alternative hypothesis. Provide one (1) example to support your position.

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MAT 300 Week 7 Discussion Confidence Intervals Updated

MAT 300 Week 7 Discussion Confidence Intervals Updated

MAT 300 Week 7 Discussion -
“Confidence Intervals” (Note: Please respond to one [1] of the following two [2] bulleted items)
• The vast majority of the world uses a 95% confidence in building confidence intervals.  Give your opinion on why 95% confidence is so commonplace. Justify your response.
• Construct a hypothetical 95% confidence interval for a hypothetical case of your choosing. Use your own unique choice of mean, standard deviation, and sample size to calculate the confidence interval. Select one (1) option provided below and analyze what will happen to your confidence interval based on the option you selected:
o The confidence changes to 90%.
o The confidence changes to 99%.
o The sample size is cut in half.
o The sample size is doubled.
o The sample size is tripled.
Provide a rationale for your response.

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MAT 300 Week 6 Discussion Normal Distribution Updated

MAT 300 Week 6 Discussion Normal Distribution Updated

MAT 300 Week 6 Discussion -
“Normal Distribution” (Note: Please respond to one [1] of the following two [2] bulleted items)
• Take a position on whether or not the total area under a normal distribution is inﬁnite. Provide an example to support your response.
• From the e-Activity, discuss whether or not the winning history of the team you selected follows a normal distribution. Provide a rationale to support your response.

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MAT 300 Week 5 Discussion Real Life Applications of Binomial Distribution Updated

MAT 300 Week 5 Discussion Real-Life Applications of Binomial Distribution Updated

MAT 300 Week 5 Discussion -
“Real-Life Applications of Binomial Distribution” (Note: Please respond to one [1] of the following two [2] bulleted items)
• Provide one (1) real-life example or application of a binomial distribution. Explain how the example matches the conditions for the binomial distribution.
• Determine the conditions under which you would use a discrete probability distribution rather than a continuous probability distribution. Provide one (1) example to illustrate your reasoning.

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MAT 300 Week 3 Discussion Data Description Updated

MAT 300 Week 3 Discussion Data Description Updated

e-Activity
• Read the article titled, “Auto Insurance Costs: Where Does Your State Rank?” located at http://www.cbsnews.com/8301-505145_162-40542496/auto-insurance-costs-where-does-your-state-rank/. Be prepared to discuss.
Data Description” (Note: Please respond to one [1] of the following two [2] bulleted items)
• From the e-Activity, the table shows Average Insurance Costs by State. Select two (2) states that are of interest to you. Next, speculate on three (3) possible reasons why the states you have chosen would have a difference in average insurance costs.
• From the e-Activity, select ten (10) states and calculate the mean and standard deviation for average insurance costs.  Next, calculate the mean and standard deviation for average insurance costs for all 51 states. Compare and contrast the means and standard deviations for the ten (10) states you selected and all fifty-one (51) states.
2.99

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MAT 300 Week 2 Discussion Graphical Representations of Data Updated

MAT 300 Week 2 Discussion Graphical Representations of Data Updated

MAT 300 Week 2 Discussion -
“Graphical Representations of Data” Please respond to the following:
• From the e-Activity, discuss the data that the graph is used to visually represent. Speculate on why the editor chose the graph, as opposed to merely reporting the data.

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MAT 300 Week 11 Discussion Recap Updated

MAT 300 Week 11 Discussion Recap Updated

MAT 300 Week 11 Discussion -
“Recap” (Note: Please respond to both of the following two [2] bulleted items)
• Describe what you achieved during this course. Then, share your greatest or most rewarding achievement during this course.
• Discuss the ways in which you anticipate using the materials covered in this course in the future.
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MAT 300 Week 10 Discussion Testing the Difference between Two Means Updated

MAT 300 Week 10 Discussion Testing the Difference between Two Means Updated

MAT 300 Week 10 Discussion -
Week 10 Discussion
“Testing the Difference between Two Means.” (Note: Please respond to one [1] of the following two [2] bulleted items)
• What two assumptions must be met when you are using the z test to test differences between two means? Can the sample standard deviations s1 and s2 be used in place of the population standard deviations σ1 and σ2?

• Retired workers and disabled workers both receive Social Security benefits. What information would we need to test the claim that the difference in monthly benefits between the two groups is greater than \$30 at the 0.05 level of significance? Write out the hypotheses and explain the testing procedure.

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MAT 300 Week 10 Assignment 1 Bottling Company Case Study Updated

MAT 300 Week 10 Assignment 1 Bottling Company Case Study Updated

Assignment 1: Bottling Company Case Study

Imagine you are a manager at a major bottling company. Customers have begun to complain that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16) ounces of product. Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles off the line at random from all the shifts at the bottling plant. You ask your employees to measure the amount of soda there is in each bottle. Note: Use the data set provided by your instructor to complete this assignment.
Write a two to three (2-3) page report in which you:
1. Calculate the mean, median, and standard deviation for ounces in the bottles.
2. Construct a 95% Confidence Interval for the ounces in the bottles.
3. Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Clearly state the logic of your test, the calculations, and the conclusion of your test.
4. Provide the following discussion based on the conclusion of your test:
a. If you conclude that there are less than sixteen (16) ounces in a bottle of soda, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future.
Or
b. If you conclude that the claim of less soda per bottle is not supported or justified, provide a detailed explanation to your boss about the situation. Include your speculation on the reason(s) behind the claim, and recommend one (1) strategy geared toward mitigating this issue in the future.

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