# stats 1 & 2

stats 1 & 2
Problem 1:Â (Ch. 2)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
Ã˜Â Open the Data Set for Problem 1

The data set shows median income in 6 states for 2011 and 2014.

a.Â Â Â Â Begin this problem (in Word) with a brief introduction that describes your data to the reader.

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b.Â Â Â Â Create an appropriate chart (one chart) that visually compares the 6 states and the 2 years to each other. Your chart should have a title and the axes should be labeled. Be creative but readable.
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c.Â Â Â Â Copy your chart into your Midterm Exam Word paper.Â
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d.Â Â Â Â Close this problem with a discussion of your chart. What does your chart tell the reader about the data
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Problem 2: (Ch. 2)
Ã˜Â Open the Data Set for Problem 2

The data set shows the math SAT scores for 72 students.

Using the 2k > n rule, determine the number of classes or bins then construct a frequency distribution for the data
Using the results from part (a), calculate the relative frequency for each class.
Using the results from part (a), calculate the cumulative relative frequency for each class.
Construct a histogram of the frequency distribution shown in part (a). Title the histogram and label the axes. Adjust the column widths so that the graph looks like a histogram.
e.Â Â Â Â Copy all of the above into your Midterm Exam Word document.Â Label your frequency distribution, relative frequency distribution and cumulative relative frequency distribution.

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f.Â Â Â Â Â What do your results tell the reader about these Math SAT scores

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Problem 3: (Ch. 2)
Ã˜Â Open the Data Set for Problem 3
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The data set shows the primary search engine preferred by 50 different people.

a.Â Â Â Â Construct a single chart that will properly display and compare the search engine frequencies.Â Add a title and label categories on your chart.
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b.Â Â Â Â Copy your chart into your Midterm Exam Word paper
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Problem 4: (Ch. 3)
Ã˜Â Open the Data Set for Problem 4 Â
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The Data set for this chapter contains the mean price in English pounds, approximately US \$1.57 as of May 2015, for the three categories of hotels, two-star, three-star and four-star hotels, in the major cities of the world during the first half of 2014.. (Data extracted from â€œAverage room prices by star ratings,â€)Â

a.Â Â Â Â Compute the mean, median, standard deviation and coefficient of variation for the 2-star, 3-star & 4-star hotels using technology (Excel, PHStat or StatCrunch).

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b.Â Â Â Â Compare the above results for the mean, median, standard deviation & coefficient of variation for the hotels to each other. How do the 3 hotels compare in average price and variation in price Â (most consistent prices, least consistent prices)

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c.Â Â Â Â Construct a boxplot for each of the 3 hotels. Are the data skewed Â If so, how

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d.Â Â Â Â Compute the sample coefficient of correlation between two-star and three-star, between two-star and four-star and between three-star and four-star hotels. Explain your results.

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e.Â Â Â Â All Excel, PHStat and StatCrunch results from parts (a), (b), (c), & (d) should be copied to your Midterm Exam Word Document.

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Problem 5: (Ch. 8)
Ã˜Â Open the Data Set for Problem 5 Â Â

CardioGood Fitness is a developer of high-quality cardiovascular exercise equipment. CardioGood Fitness looks to increase the sales of its treadmill products and has hired The AdRight Agency to create and implement an advertising program. The ad agency plans to identify particular market segments that are most likely to buy their clientsâ€™ treadmills.

CardioGood Fitness sells three different treadmills.Â The TM195 is an entry-level treadmill and sells for \$1500. The TM498 has a few more features and sells for \$1750.Â The TM798 is larger, heavier, has more features than the other two and sells for \$2500.

The AdRight Agency collected the provided data. The list provides data for the product purchased â€“ TM195, TM498 and TM798; age in years of the customer (Age); gender; education in years of the customer (Education); marital status; the number of times the customer plans to use the treadmill each week (Usage); self-rated fitness on a 1-to-5 scale, where 1 is poor shape and 5 is excellent shape; annual income (Income); and the number of miles the customer expects to walk/run each week (Miles).

Part I: Assume that you work for The AdRight Agency and you are preparing this paper for CardioGood Fitness.Â Write an introduction to your paper.

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Part II:

Ã˜Â PHStat will easily find all confidence intervals.Â To use StatCrunch, copy and paste the TM195, TM498 & TM798 on 3 separate StatCrunch spreadsheets and then easily find the confidence intervals.Â To use Excel, find the mean & sample standard deviation of each of the 3 sample treadmills with Excel then find the ME with Excel.

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1.Â Â Â Â For the TM195, TM498 & TM798, construct 95% confidence interval estimates of the mean Age of the customer. (You will have 3 confidence intervals, one for TM195, one for TM498 & one for TM798).Â State your 3 results in sentence form.Â You could say something like â€œWe are 95% confident that the average age of TM195 customers is between xxxx and xxxx.â€

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2.Â Â Â Â For the TM195, TM498 & TM798, construct 95% confidence interval estimates of the mean Education level in years of the customer. State your 3 results in sentence form.Â

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3.Â Â Â Â For the TM195, TM498 & TM798, construct 95% confidence interval estimates of the mean annual Income of the customer. State your 3 results in sentence form.Â

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Part III: Write a closing paragraph to CardioGood Fitness comparing the age, education level, and annual income for the 3 machines.Â Describe who is most likely to purchase the TM195, the TM498 and the TM798 Â What are the characteristics of buyers of eacÂ Â Â

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