Unit 1 Review Solutions-2

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Mt San Antonio College *

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110

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Statistics

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Apr 3, 2024

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Mathematics 110 Mt. San Antonio College Exam 1 Partial Review: Ch1-4 Name: f&h%w Wg ) Directions: Move desks and work in groups of 3 — 4 students. Show ALL work on a separate piece of paper. Round all probabilities to four decimal places and all other answers to two decimal places. Clearly label all graphs (axis and units) and tables. Write any explanation in a complete sentence. Calculators Allowed. 1.) The following are scores from a statistics class grades. Use this data to make a frequency distribution, a cumulative distribution, relative frequency distribution. Use class width of 10 points and use a starting score of 30. STATISTICS TEST SCORES: 6047 8295887267 66 6898 90778658649574728874 77399063689770647070 58788944558582837277 72865094928091757678 0 - A \ \ 0,02 oV S J0.- M4 2 2 0. 0% Yy. § - 9 Ly i 00 g o) 00~ - Lo 2\ 022 {0~ &% \O 4y () o ’ifi‘)( c A) ~ “‘,’1 4 %0 v 0.\% MG IDTAL 50 VY T a.) Construct a Frequency Histogram of the data and describe the shape of the histogram. b.) Construct a frequency polygon of the data. &\\%\l\'?\ &\@WQ% b) W\ W I° 7] w § 4 - \ 4 e AP I e e l\\?? “\O\Li\\rf(’h:\.‘figé Gg\?g '

Mathematics 110 Mt. San Antonio College Exam 1 Partial Review:Ch 1-4 2) 3) 4. c.) Determine the mean, median, and mode of the data. N7 42, Med = Je0s, Mode= 12 d.) Determine the standard deviation and variance of the data. |4 0S Tr= |4l Yo e.) What is the five-number summary for the data? 34, V1 15,5 20,99 f.) Are there any outliers in the data set? If so, what are the value(s)? IOR= gb-1=\9 ) ~ lower Fence S Q \& L\Q\Q) (ﬂ/]’ 1. (\4) - 39'9 \> No OM\\Q,VVS. Uppey Fence : @,ﬂg(\m Bo\s (\M1)* (&S g.) Create a box plot of the data. Include Fences. Describe the distribution of the data. g | A ey A 35 1o v o c(Oves To {0 L . " h.) Create a stem-leaf plot of the data. 3q Y\MLoa s 10 8% 6192 | A} go\\oq? (3. zz4% Y s 61TP % 022 25 o b o) 84 C Determine the level of measurement of each variable: q\oo ( % % 551 & a.) Grade Level in School WEN 4 b.) Position in a Race \Wreh Va0 c.) Fire Warnings (hlgh moderate, low) Ovdhaal Determine the type of sampling used. 35 sophomores, 22 juniors, and 35 seniors are randomly selected to participate in a study from 574 sophomores, 462 junlors and 532 seniors at a certain high school. shvatified campling wiedhiod- A statistics instructor wants to see if allowing a student to use a notecard on exams will affect their overall exam scores. The instructor think that the results could be affected by the type of class: traditional, web- enhanced, or online). He randomly selects half of his students from each type of class to use notecards. At the end of the semester, the average exam grade of those using a notecard is compared to the average of those without a notecard. a.} Is this an experiment or an observational study? EXpor\ went b.) What type of expenmental design is thls" Randomi2cd H\ock | "j“ c.) What is the response variable in thls exam? ExAm &vade d.) What are the treatments? g a nofcavd ,

Mathematics 110 Mt. San Antonio College Exam 1 Partial Review: Ch1-4 5.) Which of the following two data values are more extreme relative to the data set from which it came? s either value significantly high or significantly low? Explain why or why not. a.) The 4000 g weight of a newborn baby (among 400 weights with sample mean ¥ =31520ganda sample standard deviation of s =693.4 g) be COMSE 2 i ol \(’SS \\—Ow = t"?’z *\/\a\l"\\ —‘l- "5 U(OOO ¢, \S itz t , N0 C‘fy( \f1cand j\)!l), beCause \'2—1 1S NOX J (P(iﬂ.‘( ») '(J 2 b.) The 99°F temperature of an adult (among 106 adults with sample mean f. = 98.20°F and a sample standard deviation of 5 = 0.6L°F) * » 22 - qqof \S S\C:)Y\\ («‘ CC(Y\‘TI 2= A0 a0k pgn bl s 2N 0022 s \oager Ahan 2. 6.) Data in the table represents the number of US residents ages 25 to 74, who have earned a bachelor’s degree or higher. Détermine the approximate mean and standard deviation of the 'data set. Age Number (in thousands) W\\&Pks {—-Nvay STa"—'S 25-34 12,967 29, S 35— 44 13,904 21.9 L= %56 19 Neacs d 45-54 13,005 ua.,s 55— 64 10,357 549. § o= 12,99 \ears old.: 65— 74 4,584 ba.c L2 L‘ 7.) Suppose that p(E) = 0.76, P(F) = 0.45, and P(E and F) = 0.32. Whatis P(E or F)? P(E or ¥) = P(E) v+ P(F)— P(E and F) 070+ 04S-0.22 = |0.84 | 8.) Suppose the events E and F are independent. In addition, R(LE)= 0. 45, P(F) = 0.20. Whatis P(E and F)? P(E and ¥) = P(E) P(F) - = (pus)(.20) = | 0,09 | 9.) Suppose P(E) = 0.59,P(F|E) = 0.45. What is P(E and F)? P(E and F) = P(E)’ P(F|E) = 0.54 (0M45) = |0.20S5 | 10.)The US Senate Appropriation Committee has 29 members and a subcommittee is to be formed by randomly selecting 5 of its members. How many different committees are possible? (o\(deY O\Oe&\(\'\- WJI}( > wCo7 NKISS ommiees

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