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Name:______________________________________________________________________ Final Exam Review #2 (Ch 11) ALGEBRA II All final exam reviews could be collected the day of the Final Exam and graded based upon both effort and accuracy. You MUST show ALL WORK for full credit! MULTIPLE CHOICE SECTION 1. A sample was taken for the number of days it rained in each month over the past year. The data is show below: 4, 2, 9, 16, 13, 9, 8, 9, 7, 6, 8, 5 What is the mean (average) number of days it rained? a) 8 b) 8 c) 8.5 d) 9 2. A survey is being conducted to decide how much fast food is consumed by East Brunswick residents. If you survey all the people that come into a health club on a Saturday morning, that survey would be best described as what? a) unbiased b) biased c) population d) observational 3. Match each of the following diagrams with its description. a) Bimodal _____ b) Symmetric ______ c) Skewed left ______ d) Skewed right ______ 4. A normal distribution has a mean of 17 and standard deviation of 4. Find the range of values that represent the middle 95% of the distribution. a) 5 to 29 b) 9 to 25 c) 13 to 21 d) 9 to 17 5. A normal distribution has a mean of 25 and standard deviation of 3. Find the range of values that represent the middle 68% of the distribution. a) 19 to 31 b) 22 to 25 c) 25 to 28 d) 22 to 28 For #6-8, use the table below which provides data on the number of students who plan to attend the 2015 prom for each class: Year Prom No Prom Soph 41 714 Jr 145 598 Sr 587 163 6. Find the probability a student attends the prom. a) 587 773 b) 145 743 c) 773 2248 d) 587 2248 7. Find the probability that a student attends the prom given they are a senior. a) 587 773 b) 587 750 c) 773 2248 d) 587 2248 b) 714 1475 c) 755 2248 d) 41 714 b) 773 743 c) 145 773 d) 145 743 8. Find PSoph NP . a) 714 755 9. Find PP Jr . a) 598 743 OPEN ENDED SECTION Answer each of the following questions in the space provided. Show all work for full credit. 10. A survey is being conducted to determine if parents are happy with the quality of New Jersey Schools. If the researchers question the parents attending a ceremony for honors students, will they get biased or unbiased results? Explain your reasoning. 11. Will the following sampling method introduce bias? Why or why not? A travel agency that has offices across the United States wants to determine favorite vacation destinations of their current and potential clients. They randomly select 250 U.S. citizens to ask about their favorite vacation destinations and plans 12. State whether the following survey question is biased or unbiased. Explain your reasoning. There are many people who believe that giving homework on Friday is a waste of time. Are you one of them? 13. Describe the shape of each distribution. Check all that apply. Heights of Adults a) Symmetric Bimodal Frequency Unimodal Skewed Left Skewed Right Heights in centimeters b) Symmet 40 55 70 85 100 Test 1 Test 2 Symmetrical Symmetrical Bimodal Bimodal Unimodal Unimodal Skewed Left Skewed Left Skewed Right Skewed Right 14. The number of homeruns Barry Bonds made for the years 1986-2001 are as follows: 16 25 24 19 33 25 34 46 37 33 42 40 37 34 49 73 a) Find the five number summary: Minimum: ________ 1st Quartile: _______ Median: ___________ b) Find the Interquartile Range (IQR) c) Identify any outliers. 3rd Quartile: _______ Maximum: _________ d) What would be the best measures of center and spread? d) Construct a modified box plot. Be sure to title your box plot and label the axis. BONUS: More Ch 7 Review – HINT: See Review 1 for formulas! 15. Mrs. Tippin and Mrs. Peluzzo want to invest $2000 in an interest bearing account on the birth of their daughters. Mrs. Tippin chooses an account that earns 4.95% interest compounded weekly. Mrs. Peluzzo chooses an account that earns 4.89% interest continuously compounded. Which of their daughters will have more in the account on their 18th birthday? How much more will she have? 16. An equation that models the decline in the number of US farms is y 3,962,000 e .02t , where t is the number of years since 1960 and y is the number of farms. a. What was the number of US farms in 1960? Explain how you found this number. b. Predict the number of farms in the US today using this model.
