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Chapter 2 Recitation Problems

Chapter 2 Recitation Problems - Problems from Section 2.1...

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Problems from Section 2.1 for Recitation 4. What is the population being sampled? ANS: All primetime TV viewers. What is the variable of interest? ANS: Preferred show of the top four primetime TV shows. What is the sample? ANS: 50 TV viewers. a. Data is qualitative and nominal. b. Counts (= frequencies) and percentages per show: Show Frequency Percent Frequency CSI 18 36% ER 11 22% Friends 15 30% Raymond 6 12% Total: 50 100 “CSI” is the “modal class” because it has the highest count and highest percentage. c. Sketch the bar chart: 0 5 10 15 20 CSI ER Friends Raymond TV Show Frequency CSI is the “modal class” because it is the tallest bar in the bar chart. Chap 2 recitation problems 1 © Harvey Singer 2009
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NO PIE CHART! d. CONCLUSION FROM SAMPLE: “CSI” is the most popular of the 4 top shows of the sampled viewers, with the highest percentage of 36%. INFERENCE FROM SAMPLE: Overall and in general (for the population of all primetime TV viewers), “CSI” is the most popular of the 4 top shows, so it is the most popular of all. It will have the largest viewing audience, drawing 36% of all viewers. “Friends” is in second place. ASSUMPTION for the inferences: (1) Random sample and (2) the sample is representative of the population from which it was selected. Random sample means that all of the sample data was collected with bias or prejudice. There was no preference in who was selected or who was excluded. Technically, every sample item had the same chance of being selected as every other individual in the population. Representative sample means that the sample possesses all the important characteristics of the population, including proportions, central tendency, and variability. Chap 2 recitation problems 2 © Harvey Singer 2009
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7. What is the population being sampled? ANS: All customers of the steakhouse. What is the variable of interest? ANS: Food quality rating, rated on a 5 degree scale from poor (P) to outstanding (O). What is the sample? ANS: 50 patrons. Data type? ANS: Qualitative and ordinal. Counts (= frequencies) and percentages per rating: Rating Frequency Relative Frequency Outstanding 19 0.38 Very Good 13 0.26 Good 10 0.20 Average 6 0.12 Poor 2 0.04 50 1.00 “Outstanding” is the “modal class” because it has the highest count and highest relative frequency. Therefore “outstanding” is the most typical rating. Sketch the following bar chart: 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 Outstanding Very Good Good Average Poor Food Qality Rating Percentage Chap 2 recitation problems 3 © Harvey Singer 2009
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“Outstanding” is the “modal class” because it is the tallest bar in the bar chart. Therefore “outstanding” is the most typical rating. (In this “distribution,” the tallest box is on the left and the boxes continually decrease in height to the left. This is an example of a “left-skewed” distribution.) CONCLUSION FROM SAMPLE: Outstanding is the most popular (= preferred) rating, with the highest percentage of 38%.
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