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## Exam 2 Statistics Study Guide

by: Haley Johnson

336

2

6

# Exam 2 Statistics Study Guide STAT 110 001

Marketplace > University of South Carolina > Statistics > STAT 110 001 > Exam 2 Statistics Study Guide
Haley Johnson
USC
GPA 3.6

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This is the study guide for Exam 2! It includes the answers, but also a clear breakdown of how to determine the answers in the text box beside each question!
COURSE
Introduction to Statistical Reasoning
PROF.
Wendy Cimino
TYPE
Study Guide
PAGES
6
WORDS
KARMA
50 ?

## Popular in Statistics

This 6 page Study Guide was uploaded by Haley Johnson on Monday March 14, 2016. The Study Guide belongs to STAT 110 001 at University of South Carolina taught by Wendy Cimino in Spring 2016. Since its upload, it has received 336 views. For similar materials see Introduction to Statistical Reasoning in Statistics at University of South Carolina.

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Date Created: 03/14/16
Exam 2 Review Statistics 110, Spring 2016 Questions 1 – 6 are based on the following description: In an experiment on human reaction times, a subject is asked to depress a button whenever a light flashes. Her reaction times for n=15 trials are (in milliseconds): 117 122 89 93 107 90 129 90 100 98 100 155 186 109 125 1. What is the mean reaction time? A) 114 Add all of the numbers and divide by how many numbers there is. B) 171 C) 1710 D) 125 2. What is the median reaction time? A) 125 Put numbers in order from least to greatest B) 123.5 and determine the number in the middle which will equal your median. C) 107 D) 93 3. What is the third quartile of the reaction times? A) 125 B) 123.5 C) 107 D) 93 4. What is a possible value of the standard deviation of the reaction times? A) – 229 B) 0 C) 27 D) 229 5. What is a possible reason why the median and the quartiles are appropriate measures of center and spread for the reaction times? A) The reaction times contain possible outliers B) The distribution is symmetric C) The standard deviation is greater than 0 D) The mean and the median are equal 6. What type of graph can be used to show the distribution of the reaction times? A) Pie Chart B) Pictogram Page 1 of 6 Exam 2 Review Statistics 110, Spring 2016 C) Histogram D) Bar Graph Questions 7 – 9 are based on the following description: The scores on a mid-term exam in a certain statistics class were normally distributed with a mean of 76 and a standard deviation of 4. 7. What percentage of the scores are greater than 76? A) 50% B) 68% C) 95% D) 99.7% 8. Approximately what percentage of the scores are between 72 and 84? A) 68% B) 81.5% C) 84% D) 95% 9. For this statistic class, one of the requirements for exempting the final exam was to have a mid-term exam score at or above the 93rd percentile. What was the minimum score a student needed on the mid-term exam to qualify for the final exam exemption? A) 82 B) 80 C) 70.4 D) 50 Questions 10 – 11 are based on the following description: A study was conducted to examine the effects of weight and alcohol consumption on blood pressure. A questionnaire was used to collect the data, and alcohol consumption was measured by asking the subjects to indicate “yes” if they consumed any alcohol on an average day and “no” if they consumed no alcohol on an average day. 10. In this study, A) Weight is a quantitative variable and alcohol consumption is a categorical variable B) Weight is a categorical variable and alcohol consumption is a quantitative variable C) Weight and alcohol consumption are both quantitative variables D) Weight and alcohol consumption are both categorical variables The people are just answering yes and no in alcohol consumption and so no numbers where as weight is the number. 11. One subject was told that his blood pressure was at the 30th percentile. This means that Page 2 of 6 Exam 2 Review Statistics 110, Spring 2016 A) 70% of the blood pressure readings are less than this subject's blood pressure B) 30% of the blood pressure readings are less than this subject's blood pressure C) This subject's blood pressure is greater than the median blood pressure D) This subject's blood pressure is equal to the first quartile of the blood pressure readings Questions 12 – 14 are based on the following description: The following histogram shows the distribution of the number of pages in the 112 books in a student's eBook reader. 0 200 400 600 800 1000 Number of Pages 12. What is the shape of the distribution? A) Right Skewed The graph is more on one side. More on B) Left Skewed left=right and More on right=left C) Roughly Symmetric D) Perfectly Symmetric 13. Approximately how many books have more than 799 pages? A) 51 B) 32 C) 23 D) 9 14. Approximately what proportion of the books have between 400 and 599 pages? Page 3 of 6 Exam 2 Review Statistics 110, Spring 2016 A) 0.12 B) 0.21 C) 0.27 D) 0.50 Questions 15 – 17 are based on the following description: The boxplot below depicts the ages of patients at a medical clinic on a particular day. 15. The first quartile of the ages is between A) 40 and 50 B) 30 and 40 C) 25 and 45 D) 10 and 20 16. What percentage of the patients were younger than 45? A) 25% B) 50% C) 75% D) 90% 17. About 75% of the patients were at least how old? A) 15 B) 20 C) 30 D) 45 Page 4 of 6 Exam 2 Review Statistics 110, Spring 2016 Questions 18 – 19 are based on the following description: Refer to the normal density curve below. 62 64 66 68 70 72 74 18. What is the mean of this distribution? A) 70 B) 68 C) 66 D) 34 19. What statement best describes the relationship between the mean and the median of this distribution? A) The mean is greater than the median. B) The mean is less than the median. C) The mean and the median are equal. D) The mean is located to the left of the median. Questions 20 – 21 are based on the following description: A couple purchases a foreclosed property for \$50,000 and spends an additional \$27,000 fixing up the property. They feel that they can resell the property for a profit of \$43,000 with probability 0.15, for a profit of \$23,000 with probability 0.45, for a profit of \$3,000 with probability 0.25, and for a loss of \$13,000 with probability 0.15. 20. Why is this a valid probability model? A) All probabilities are between 0 and 1. B) All probabilities are between 0 and 1, and the sum of all probabilities is 1. C) The outcomes are mutually exclusive. D) The outcomes are independent. 21. What is the expected profit for reselling the house? A) \$15,000 B) \$15,600 Page 5 of 6 Exam 2 Review Statistics 110, Spring 2016 C) \$19,500 D) \$77,000 Questions 22 – 23 are based on the following description: A probability experiment is conducted in which the sample space is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Each outcome is equally likely. Let event A = {2, 3, 4, 5}, event B = {1, 2, 3, 8, 9, 10}, and event C = {4, 5, 6, 7, 8, 9, 10}. 22. What collection of outcomes represents the complement of event B? A) {4, 5, 6, 7, 8, 9, 10} B) {1, 2, 3, 8, 9, 10} C) {4, 5, 6, 7} D) D) {2, 3, 4, 5} 23. Events B and C are not mutually exclusive because A) They have outcomes in common. B) They do not have outcomes in common. C) They have a different number of outcomes. D) They cannot occur at the same time. Questions 24 – 25 are based on the following description: Suppose flights at a large airport are on-time 70% of the time. Assume arrival statuses of flights are independent. To simulate the outcome of a single flight, we use the digits 3, 4, 5, 6, 7, 8, and 9 to represent an on-time flight and 0, 1, and 2 to represent a late flight. 24. Give the probability model for arrival status (whether a flight is on-time or late) at this airport. A) P(On– Time) = 0.70; P(Late) = 0.30 B) P(On– Time) = 0.68; P(Late) = 0.32 C) P(On– Time) = 0.70; P(Late) = 0.70 D) P(On– Time) = 0.70; P(Late) = 1.00 25. You select 5 flights at random and want to estimate the probability that all 5 flights are on-time. Simulate 10 repetitions, starting at line 104 of Table A (reading from left to right, starting at the beginning of the line). What is your estimate of the probability? A) 0.10 B) 0.20 C) 0.30 D) 0.40 Page 6 of 6

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