Exam 1 topics and practice problems

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University of Arkansas *

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Statistics

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Feb 20, 2024

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Exam 1 topics: Vocabulary:  Population  Sample  Parameter  Statistic  Mean  Median  Mode  Standard Deviation  Mu  Sigma  Histogram  Bar chart  Data scales: o Categorical Data  Nominal  Ordinal o Numerical  Interval  Ratio  Normal Distribution  Empirical Rule  Standard Normal Distribution (mu = 0, sigma = 1)  Z-transformation formula (x-mu)/sigma  Also understand how to read the z-chart Chapters 1-3 and 6 practice questions (these are all taken directly from previous final exams)

1. Which of the following variables is a numerical, ratio measure? a. The make of a car b. The color of a car c. The number of miles left on the warranty d. Whether the car has antilock brakes e. All of the above 2. Which of the following variables is a categorical, nominal measure? a. A person’s shoe size b. The color of a car c. The number miles driven on a set of tires d. A student’s GPA 3. The final letter grade you earn in Data Analysis is an example of _____________. a. Ratio Data b. Nominal Data c. Ordinal Data d. Interval Data Use the following information to answer the next 4 questions: By analyzing data collected over the past 8 years, Patty’s Bake Shop has estimated daily demand for world famous cupcakes, PattyCakes, are normally distributed with a mean of 260 cupcakes and a standard deviation of 20. PattyCakes not sold at the end of the day are donated to a local shelter. 4. What is the probability that the demand for PattyCakes will exceed 300 cupcakes tomorrow? a. 0.0228 b. 0.3612 c. 0.9500 d. 0.9772 5. What percentage of days will the demand for PattyCakes be between 250 and 295? a. 0.0275 b. 0.1587 c. 0.3486 d. 0.6514 6. What is the probability that the number of PattyCakes demanded on a given day is less than 200? a. 0.3821 b. 0.0030 c. 0.0013 d. 0.9887

7. On a local college campus the number of people connected to the wi-fi network at any given time is normally distributed with a mean of 8,000 and a standard deviation of 25,000. What is the probability a randomly chosen time will have a connection count between 7,000 and 9,500? a. 0.0399 b. 0.1064 c. 0.9538 d. 0.7243 Use the following information to answer the next 2 questions: Using last year’s data, the owner at Dean’s Bakery estimated that daily demand for cupcakes is normally distributed with a mean of 360 cupcakes and a standard deviation of 30. The cupcakes that are not sold at the end of the day are donated to a local food bank. 8. What percentage of days will the demand for cupcakes be between 350 and 395? a. 0.3486 b. 0.3707 c. 0.5083 d. 0.8790 9. What is the probability that demand for cupcakes on a given day is less than 300? a. 0.0030 b. 0.0228 c. 0.3821 d. 0.9772

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