2303 Study Guide_Final Exam_ SP2020

.docx

School

Baton Rouge Community College *

*We aren’t endorsed by this school

Course

2303

Subject

Mathematics

Date

Jan 9, 2024

Type

docx

Pages

Uploaded by MasterThunder12718

MATH 2303-SPRING 2020 Final Exam Study Guide w/ Answer Key L. Sanders 1. Know definitions and examples of the sampling techniques. Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. a. A market researcher selects 500 people from each of 10 cities. b. A tax auditor selects every 1000th income tax return that is received. c. To avoid working late, a quality control analyst simply inspects the first 100 items produced in a day. d. An education researcher randomly selects 48 middle schools and interviews all the teachers at each school. e. The names of 70 contestants are written on 70 cards, The cards are placed in a bag, and three names are picked from the bag. 2. Know definitions and examples of the four levels of measurement. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. a. Body temperatures of newborn babies in a hospital. b. Blood levels of low, medium or high. c. Salaries of college professors. d. Nationalities of survey respondents. 3. Identify the type of observational study (cross-sectional, retrospective, prospective). a. A statistical analyst obtains data about ankle injuries by examining a hospital's records from the past 3 years. b. The National Children’s study began in 2005 tracking 100,000 children to age 21. c. A town obtains current employment data by polling 10,000 of its citizens this month 4. Determine whether the given value is from a discrete or continuous data set. a. The number of freshmen entering college in a certain year is 621. b. The temperature of a cup of coffee is 67.3°F. c. The weight of Bill's pack as he sets off on a backpacking trip is 48.3 lb. 5. Identify whether the given value is a parameter or a statistics. a. A random sample of 100 subscribers and determine that their mean income is $27,500. b. The average GPA of all college students in the United States today. 6. The following frequency distribution summarizes employee years of service at Alpha Corporation. Answer the questions below. a. What is the class width? b. Find and list the class midpoints. c. Find and list the class boundaries. d. How many employees were surveyed? e. Find the mean of the frequency distribution. 1

MATH 2303-SPRING 2020 Final Exam Study Guide w/ Answer Key L. Sanders 7. Andrew asked seven of his friends how many cousins they had. The results are listed below. Find the mean, median, mode, range, and standard deviation of the sample data. Round to tenths . 15 12 5 14 4 4 6 8. An inspector must select 3 tests to perform in a certain order on a manufactured part. He has a choice of 7 tests. How many ways can he perform 3 different tests? 9. How many ways can a committee of 4 people be selected from a group of 10 people? 10. At a used-book sale, adult books and children’s books are sold. Of the adult books, 70 are nonfiction and 30 are fiction. Of the children’s books, 60 are nonfiction and 100 are fiction. If a book is selected at random, a. Find the probability that the book is a children’s book. b. Find the probability that the book is nonfiction. 11. Cable Channel Programming Three cable channels (6, 8, and 10) have quiz shows, comedies, and dramas. The number of each is shown here. If a show is selected at random, a. find the probability that the show is a quiz show, or it is shown on channel 8. b. find the probability that the show is a comedy given that is is shown on Channel 10. c. find the probability tha the show is a drama. d. Find the probability that the show is a quiz show and on Channel 6. 12. If the probability that it will rain tomorrow is 0.20, what is the probability that it won’t rain tomorrow? 13. 47.5% of children say that chocolate chip cookie is their favorite kind of cookie. If you randomly select 4 children find the probability thatat least one of the 4 say that chocolate chip cookie is their favorite. 14. A certain medical procedure has 85% chance of success on patients. The surgery is performed on 8 patients. The random variable represents the number of successful surgeries. Find the probability of the surgery being successful on: a. exactly 6 patients, b. at least 5 patients, c. at most 7 patients. 2

MATH 2303-SPRING 2020 Final Exam Study Guide w/ Answer Key L. Sanders 15. A coin is tossed 4 times. Find the mean number of heads that will be obtained. 16. Find the area under the standard normal curve to the left of z = 1.31 or P(z < 1.31). 17. Find the area under the standard normal curve to the right z = 1.92 or P(z > 1.92). 18. Find the area under the standard normal curve between z = 1.23 and z = 1.90 or P(1.23 < z < 1.90). 19. Find the critical value needed to construct a 95% confidence interval of a population mean with an unknown population standard deviation and sample size n = 25. 20. Find the critical value needed to construct a 98% confidence interval of a population mean with an known population standard deviation. 21. Find the critical value needed to construct a 90% confidence interval of a population proportion. 22. Find the critical values needed to construct a 90% confidence interval of a standard deviation if the sample size is 15. 23. The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 70 inches, and a standard deviation of 10 inches. What is the probability that the mean annual snowfall during 25 randomly picked years will exceed 72.8 inches? 24. The average age of a vehicle registered in the United States is 8 years, or 96 months. Assume the standard deviation is 16 months. If a random sample of 36 vehicles is selected, find the probability that the mean of their age is less than 90 months. 25. The national average SAT score (for Verbal and Math) is 1019. If we assume a normal distribution with  = 100, a. what SAT score is in the 85th percentile? (Find x) b. c. what is the probability that a randomly selected score exceeds 1200? d. What is the probability that a randomly selected score is below 1000? 26. Ten randomly selected people were asked how long they slept at night. The mean time was 7.1 hours, and the standard deviation was 0.78 hour. Assume that the data is normally distributed. a. For a 95% confidence level, find the margin of error. Round to two decimal places. b. Construct a 95% confidence interval of the mean time. Interpret your results. 3

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help