Notes & Summaries for Mathematics

MATH 399N Week 2 discussion: Regression Suppose you are given data from a survey showing the IQ of each person interviewed and the IQ of his or her mother. That is all the information that you have. Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?

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MATH 399N Week 1 Discussion: Descriptive Statistics If you were given a large data set (i.e., sales over the last year of our top 100 customers), what might you be able to do with these data? What might be the benefits of describing the data?

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MATH 399N Week 3 Discussion: Statistics in the News Keep your eyes and ears open as you read or listen to the news this week. Find/discover an example of statistics in the news to discuss the following statement that represents one of the objectives of statistics analysis: “Statistics helps us make decisions based on data analysis.” Briefly discuss how the news item or article meets this objective. Cite your references. Also, keep in mind and discuss how the impact of your study on your pa...

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MATH 399N Week 6 Discussion: Confidence Interval Concepts Consider the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you • increase the confidence level, • increase the sample size, or • increase the margin of error? Only consider one of these changes at a time. Explain your answer with words and by referencing the formula.

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MATH 399N Week 7 discussion: Rejection Region How is the rejection region defined, and how is that related to the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?

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MATH 399N Week 8: Math in the Real World We rely heavily on statistics and statistical research in the health and helping professions. The outcomes from this work help us identify the best methods for helping and caring for clients and patients. Discuss at least two concepts from the course that you can use in your future career. Be sure to state the concept, how you would use it, and why that approach would be the best approach for the situation.

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Question: A company has developed a wristband for monitoring blood sugar levels without requiring direct blood samples. It is interested in demonstrating the accuracy of the device for governmental approval and has decided to test the claim "The glucose level reported by the wristband is within 10% of a standard blood test result." Which of the following data collection processes would be appropriate? Select only one answer choice. Question: A farmer divided his piece of land into 4 equivalent...

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Question: Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below……. 16,14,14,21,15 Question: Given the following list of prices (in thousands of dollars) of randomly selected trucks at a car dealership, find the median…… 20,46,19,14,42,26,33 Question: Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the following number of ca...

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Question: A statistics professor recently graded final exams for students in her introductory statistics course. In a review of her grading, she found the mean score out of 100 points was a x¯=77, with a margin of error of 10……Construct a confidence interval for the mean score (out of 100 points) on the final exam. Question: A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling...

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MATH 399N Week 5 Discussion: Interpreting Normal Distributions Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15. Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

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