Are Nuclear Plants Safe? Using the survey results from Exercise 2 and ignoring those respondents with no opinion, is the following graph somehow misleading? If so, how?
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
2. Describing Data with Tables and Graphs
Visualizing Qualitative vs. Quantitative Data
Problem 2.3.8a
Textbook Question
Oil Reserves The U.S. Strategic Oil Reserve is a government-owned stockpile of crude oil. It was established after the oil embargo in the mid-1970s and is meant to serve as a national defense fuel reserve, as well as to offset reductions in commercial oil supplies that would threaten the U.S. economy. The graphic depicts oil reserves in 1977 and 2018.
a. How many times larger should the graphic for 2018 be than the 1977 graphic (to the nearest whole number)?

Verified step by step guidance1
Identify the quantities represented by the two barrels: 7.5 million barrels for 1977 and 652.6 million barrels for 2018.
Understand that the question asks for how many times larger the 2018 graphic should be compared to the 1977 graphic, which means finding the ratio of the 2018 reserve to the 1977 reserve.
Set up the ratio as \(\frac{652.6}{7.5}\) to compare the sizes directly.
Calculate this ratio to find how many times larger the 2018 reserve is compared to the 1977 reserve.
Round the result to the nearest whole number to answer how many times larger the graphic should be.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Ratio and Proportion
Ratio compares two quantities to show how many times one value contains or is contained within the other. In this question, the ratio of oil reserves in 2018 to 1977 helps determine how many times larger the 2018 reserve is compared to 1977.
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Rounding Numbers
Rounding simplifies numbers to a specified degree of accuracy, often to the nearest whole number. This is important here to provide a clear, concise answer when comparing the sizes of the oil reserves.
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Interpreting Visual Data
Understanding and extracting numerical information from images or graphics is crucial. The image shows barrels labeled with reserve amounts, which must be interpreted correctly to perform calculations and answer the question.
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Visualizing Qualitative vs. Quantitative Data
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