APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes

3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 1/7 jump Sites My Workspace BUSN333 I001 Fall 16 MATH302 A008 Win 17 Logout ...

3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 1/7 jump Sites My Workspace BUSN333 I001 Fall 16 MATH302 A008 Win 17 Logout My Sites Home Announcements Calendar Messages Forums Syllabus Lessons Adobe Connect Math Connect Resources Assignments Tests & Quizzes Gradebook Help Roster Campus Lounge APUS Library Policy User Guide Midterm Exam_MATH302 Part 1 of 9 - 1.0/ 1.0 Points Question 1 of 25 1.0/ 1.0 Points What kind of relationship between x and y is demonstrated by the scatter plot below? A.No linear relationship B.This is not a scatter plot C.A negative linear relationship D.A positive linear relationship Answer Key: C Part 2 of 9 - 2.0/ 2.0 Points Question 2 of 25 1.0/ 1.0 Points The table below shows the preferences for elective courses of students who are undecided about their majors. Philosophy Digital Art Film Studies Male 9 16 22 Female 6 18 14 What is the probability of randomly selecting a student who is female or prefers Digital Art? A.21.2% B.84.7% C.63.5% D.46.2% Answer Key: C Question 3 of 25 1.0/ 1.0 Points The staff at a small company includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a person is selected at random, what is the probability that he or she is a factory worker? A.1/8 Tools O Mpineimnsize Content MATH302 A008 Win 17: Tests & Quizzes Opens https://www.coursehero.com/file/21423226/APUS-CLE-MATH302-Midterm/ This study resource was shared via CourseHero.com3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 2/7 jump Sites A.1/8 B.1/4 C.5/8 D.2/5 Answer Key: C Part 3 of 9 - 2.0/ 3.0 Points Question 4 of 25 1.0/ 1.0 Points Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that greater than 40 batteries will last at least 8 hours? A.0.0789 B.0.4538 C.0.9598 D.0.0402 Answer Key: D Question 5 of 25 0.0/ 1.0 Points Find the variance of the following probability distribution. X P(X) 1 0.10 2 0.20 3 0.35 4 0.30 5 0.05 A.1.1 B.1.21 C.1.05 D.1.02 Answer Key: A Question 6 of 25 1.0/ 1.0 Points A researcher surveyed college students to study their opinion about the proposed change in smoking rules. The researcher asked a group of 30 students: 12 of them supported the change, 13 of them did not, and 5 had no opinion. This is not a binomial model because... A....there are 3 possible outcomes, not 2. B.30 students are not enough for a good sample C....less than half of the students supported the change. D....the students who strongly supported the change and those who only mildly supported the change are counted the same. Answer Key: A Part 4 of 9 - 5.0/ 6.0 Points Question 7 of 25 0.0/ 1.0 Points If the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean? A.to the right of the mean B.one standard deviation higher than the mean C.to the left of the mean Tools O Mpineimnsize Content Opens https://www.coursehero.com/file/21423226/APUS-CLE-MATH302-Midterm/ This study resource was shared via CourseHero.com3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 3/7 jump Sites C.to the left of the mean D.equal to the mean Answer Key: A Question 8 of 25 1.0/ 1.0 Points The mean of a probability distribution is a: A.measure of central location B.measure of variability of the distribution C.measure of relative likelihood D.measure of skewness of the distribution Answer Key: A Question 9 of 25 1.0/ 1.0 Points The theorem that states that the sampling distribution of the sample mean is approximately normal when the sample size n is reasonably large is known as the: A.central tendency theorem B.point estimate theorem C.central limit theorem D.simple random sample theorem Answer Key: C Question 10 of 25 1.0/ 1.0 Points Given that Z is a standard normal variable, the value z for which P(Z < z) = 0.2580 is A.0.242 B.0.758 C.-0.65 D.-0.70 Answer Key: C Question 11 of 25 1.0/ 1.0 Points The normal distribution is: A.a density function of a discrete random variable B.the single most important distribution in statistics C.a binomial distribution with only one parameter D.a discrete distribution Answer Key: B Question 12 of 25 1.0/ 1.0 Points Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85 < X < 90) is A.0.3413 B.0.5328 C.0.1498 D.0.1915 Answer Key: C Part 5 of 9 - 0.0/ 1.0 Points Question 13 of 25 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 Tools O Mpineimnsize Content Opens https://www.coursehero.com/file/21423226/APUS-CLE-MATH302-Midterm/ This study resource was shared via CourseHero.com3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 4/7 jump Sites Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2. Compute the median number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry. 2.77 Answer Key: 1.50 Part 6 of 9 - 2.0/ 2.0 Points Question 14 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Find the mean of the following probability distribution? 1 0.20 2 0.10 3 0.35 4 0.05 5 0.30 Place your answer, rounded to two decimal places, in the blank. 3.15 When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 1.23 would be a legitimate entry. Answer Key: 3.15 Question 15 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. In a history class, students take a weekly multiple choice quiz consisting of 6 questions, each with 4 possible answers. If a student randomly guesses at the answer to each question for every quiz, then what is the mean number of correct answers the student will get on each quiz? Round your answer to one decimal place as necessary. For example, 4.5 would be a legitimate entry. Answer: 1.5 Answer Key: 1.5 Part 7 of 9 - 2.0/ 2.0 Points Question 16 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. An ice cream vendor sells three Øavors: chocolate, strawberry, and vanilla. Forty ×ve percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla Øavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, de×ne the following events: = chocolate chosen = strawberry chosen = vanilla chosen = ice cream on a cone ice cream in a cup Find the probability that the ice cream was sold on a cone. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry. .6175 Tools O Mpineimnsize Content Opens https://www.coursehero.com/file/21423226/APUS-CLE-MATH302-Midterm/ This study resource was shared via CourseHero.com3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 5/7 jump Sites Answer Key: 0.6175 Question 17 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. An ice cream vendor sells three Øavors: chocolate, strawberry, and vanilla. Forty ×ve percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla Øavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, de×ne the following events: = chocolate chosen = strawberry chosen = vanilla chosen = ice cream on a cone ice cream in a cup Find the probability that the ice cream was strawberry flavor, given that it was sold on a cone. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry. .2915 Answer Key: 0.2915 Part 8 of 9 - 5.0/ 6.0 Points Question 18 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9. What is the probability that a randomly selected customer will spend $30 or more at this store? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry. .5000 Answer Key: 0.5000 Question 19 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The average hourly wage of workers at a fast food restaurant is $6.50/hr with a standard deviation of $0.45. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $6.75? Place your answer, rounded to 4 decimal places, in the blank. For example, 0.1776 would be a legitimate entry. .2877 Answer Key: 0.2800|0.3000 Question 20 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster ×shermen is selected, what is the probability that their average catch is less than 31.5 pounds? Place your answer, rounded to four decimal places, in the blank. .2468 When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry. Answer Key: 0.1968|0.2968 Question 21 of 25 0.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 Tools O Mpineimnsize Content Opens https://www.coursehero.com/file/21423226/APUS-CLE-MATH302-Midterm/ This study resource was shared via CourseHero.com3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 6/7 jump Sites Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A Wendy’s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, the demand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and the demand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30. How many chicken sandwiches must the restaurant stock to be 99% sure of not running out on a given day? Place you answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimate entry. 637 Answer Key: 185|195 Question 22 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is mound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 such cars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28? Place your answer, rounded to 4 decimal places, in the blank. .1200 Answer Key: 0.1000|0.1200 Question 23 of 25 1.0/ 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scienti×c notation). NOTE: For scienti×c notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. A popular retail store knows that the purchase amounts by its customers is a random variable that follows a normal distribution with a mean of $30 and a standard deviation of $9. What are the two dollar amounts, equidistant from the mean of $30, such that 90% of all customer purchases are between these values? Place your answers in the blanks provided. Do not include a dollar sign. For example, 14.25 would be a legitimate entry. Lower value 15.15 Upper value 44.85 Answer Key: 14.20|16.20, 43.80|45.80 Part 9 of 9 - 2.0/ 2.0 Points Question 24 of 25 1.0/ 1.0 Points Using the standard normal curve, the Z- score representing the 85th percentile is 0.67 True False Answer Key: False Question 25 of 25 1.0/ 1.0 Points A random variable X is normally distributed with a mean of 100 and a variance of 25. Given that X = 110, its corresponding Z- score is 0.40. True False Answer Key: False Tools O Mpineimnsize Content Opens https://www.coursehero.com/file/21423226/APUS-CLE-MATH302-Midterm/ This study resource was shared via CourseHero.com3/28/2017 APUS CLE : MATH302 A008 Win 17 : Tests & Quizzes https://edge.apus.edu/portal/site/350936/page/55690c88­7618­45b5­83cf­c1212ff21601 7/7 jump Sites Mobile View Copyright 2003-2016 The Sakai Foundation. All rights reserved. Portions of Sakai are copyrighted by other parties as described in the Acknowledgments screen. APUS CLE - 2.9.X - Sakai 2.9.X (Kernel 1.3-SNAPSHOT)- Server stsakai23-100 Tools O Mpineimnsize Content Opens https://www.coursehero.com/file/21423226/APUS-CLE-MATH302-Midterm/ This study resource was shared via CourseHero.com Powered by TCPDF (www.tcpdf.org)