MA3110 Statistics

Discussion 1.1 (2.0 Hours)

Title: Representing Data Graphically

Consider the following data sets:
o A collection of how many minutes someone spends online in a day
o The number of students that said yes or no to whether or not they have a Facebook account
r The number of children that students in a college class have
o The grades students received on a college Algebra test
o The number of cell phone subscribers by year
o The salaries of employees according to years of employment
. The amount of money spent on various items in a person's monthly budget
o The value of a stock by year
o The number of hours worked and the hourly wage for workers in a manufacturing plant
r The price of eggs by year

Choose two data sets from the list. For each, state whether the data would be better represented as a bar graph, a stem and leaf plot, a frequency polygon, a pie chart, a time series chart, or a scatter plot.

Justify your responses.

Participation Requirements:

Respond to at least two of your classmates, When responding:
o Provide complete, well-thought-out responses.
o Ask questions, share experiences, challenge ideas, and help your peers expand their responses.
One-sentence answers will not be sufficient. lf your answer is "l agree" or "l disagree," explain why you agree or disagree. Remember that a discussion is an opportunity to interact with your fellow classmates. Observe discussion etiquette: Be respectful, kind, and nonjudgmental of your classmates.

Evaluation Criteria:
The discussion will be evaluated using the Discussion rubric and the following parameters:
o Did you suggest graphical representations for two data sets?
o Did you present a reasonable analysis of why the selected representations would be best?
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Study Guide
Assessment Preparation Checklist:
To prepare for this assessment:
o Read Chapter 7 from your textbook, Elementary Sfotistics. This reading will help you understand the concept of the sampling distribution of the sample mean.
. Study the topics "Constructing Confidence lnterval" and "lnterpreting Confidence lnterval" in the Module 3 online lesson. These topics will help you learn how to construct and interpret the confidence interval.
Title: lnterpreting the Confidence Interval -jl
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Solve the following problems:

e A simple random sample of 40 salaries of NCAA football coaches has a mean of 5415,953 and a standard deviation of 5463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach, r ln a study designed to test the effectiveness of acupuncture for treating migraine, 1.42 subjects were treated with acupuncture and 80 subjects were given a sham treatment. The numbers of migraine attacks for the acupuncture treatment group had a mean of 1.8 and a standard deviation of 1.4. The numbers of migraine attacks for the sham treatment group had a mean of 1.6 and a standard deviation of 7.2.

o Construct the 95% confidence interval estimate of the mean number of migraine attacks for those treated with acupuncture,
o Construct the 95% confidence interval estimate of the mean number of migraine attacks for those given a sham treatment.
o Compare the two confidence intervals. What do the results suggest about the effectiveness of acupu ncture?
Submission Requirements:

r Submit the assignment in a Microsoft Word or Excel document.
o Show detailed steps and provide appropriate rationale with your answers.

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MA311O Statistics Study Guide
Assume that the two samples are independent, simple, random samples, selected from normally distributed populations. Do not assume thatthe population standard deviations are equal.
o Use a 0.05 significance level to test the claim that unfiltered king-size cigarettes have mean tar content greater than that of filtered L00 mm cigarettes.
o What does the result suggest about the effectiveness of cigarette filters?
o Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What do you conclude? Assume that the paired sample data are simple random samples and thatthe differences have a distribution that is approximately
normal.