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Unformatted text preview: r r ’H‘Luﬁi—M—t—crﬂ srazoza — Chapter 5 Practice ActivityLA N 5 hair all “Mr-51w, 1. Suppose the most recent census reported that ages of all Alachua County residents are normally distributed with an average of 28.1 years and a standard deviation of 2.5 years. To verify the accuracy of the census results, a statistics student collected age data from a random sample of 500'Alachua County residents and found the average age ofthese 500 people to be 27.8 years, with a standard deviation of 2.3 years. ' Pr Vide an appropriate symbol for each'of the numerical values given in this scenario. ﬂ { [\(ib-i-a: ’— “ﬁ‘i &. in: granulation-a \5 Soil stain La a. Ceiamﬁd‘?’ fie-1.3“ fatalio‘tﬁiﬁ 28.1 years: f 2.5 years: . SUO'people: E: 27.8 years: 1‘2 2.3 years: S. JEOPMabw meme} ( satiatiir‘gaa (5 molasses) (sanity (5?; as») 2. The amount of Jen’s monthly phone bill is no’imally distributed with a mean of \$61 "and a standard deviation of \$12. Use the 68—95-997 rule to answer each of the following questions. You should draw a well—labeled Normal curve for each part. A. Approsimately What percent of the time is Jen’s phone bill between \$49 and \$61? ( “r : 2 / ﬁwé i ,' f0»? 33%;; ' ” i :3; /ﬁkni§oa— 7g 35 37 a to ’1 % ‘i‘? ?«e\\@ gm \ an B. Approximately what percent of the time is Jen’s phone bill less than \$37? a) C. Approximately what percent of the time is Jen’s phone bill more than \$97? 33;” 3-7 as M ’1)" E? ‘5‘! £3" D. Approximately what percent of the time is Jen’s phone bill between \$6 1' and \$85?_ ' lét 9Y?e*-?i s - 5 Stigma B. Approximately What percent of the time is Jen’s phone bill between \$73 and \$97? t 3. The weights of adult rhesus monkeys are normally distributed, with a mean of 15.3 pounds and a standard deviation of 3.4 pounds. “J ﬂifBJ- 31%) A. What percent of all adult rhesus mo eys weigh less than 10.5 pounds? You should begin by sketching a well—labeled Normal curve that represents the distribution of weights of rhesus monkeys, labeling the mean of 15.3 along with the value of 10.5 on the weight axis. Next, shade the area under the curve that. represents weights of less than 10.5 pounds. Consider What to do now. After doing the work, convert your ﬁnal answer to a percent, rounded to 2 decimal places. ' % g ' M‘s Sivnoferﬁvaaw “as: o. 2*‘5ﬁ—EC‘E =2?” yzf‘k (1:3... 4 k - ‘ ' . :o.s’”—=~ :51: c _m:#ﬂ-nrnw,mwaighf A g 2:: mg“ q {qr in”? (ggam. anmw>nh as: 2-»— new ' “NH 0 I . . ,Fl‘ognlrlkrc, 2—talﬁtg (Trike, amend Ara Adm: \Qgg“% Aoﬂkmﬂg g: ' i J . r E A'ésus / ‘ a? (5 3:: mi. Lil I‘S' £9. 7- a"? “n GP [0,;éumna‘5‘u B. What percent of all rhesus monkeys weigh between 10.5 and 17.2 pounds? Start off by re—sketching the Normal curye that represents the distribution of weights, labeling the mean of 15.3 along with the weights of 10.5 and 17.2 pounds on the weight axis. Write your ﬁnal answer as a-percent, to 2_ decimal place \ - tin-“1‘52; ;* k H X5 2: 3-41! Foam ET 3, E “Weigh? P 1“ Prreocér’n “riﬂe, \ egg" at éﬁo’ {(3 ‘ _ 1's 0.7123 ' ’ V '7 . --* ‘kad - e; “ks— {33 big? (é’irm“@ Shaggeoa 0.6% \‘s _ command? unworwm. “my 0,7733“: 0_ 07 Q3 1—. 0 Joya “7‘1” (.3 0,3713 3 gﬁSmrér‘ 2 C. Suppose the weight of a randomly chosen rhesus monkey is at the 86th percentile. What isthe z—soore‘ , for the we' ht fth h onke ? Be ' to sketch a ' . ' _ ‘ 1g 0 ec osenm y sure ﬁg“ rhgsus MQFX<Q~7; Lﬁ'hkim L4? CEO Ckr «Lot to“? ‘5-?"1uoo in'%¢%:vah\e_ dQSQ§TT (- . " qr are; \‘wr as ck Evgmerm. tent it?" 5C”. . ‘5 - Asa ' ales—Lo? D. Use the z—score of 1.08 found in part C to calculate the weight of the chosen monkey. ‘ ' ' ‘ /l Hint: y = 2-0' + p, i .fF‘fﬂ Ari/16v m {eta-U) SUB -<7,V&l\&§ ' 2 7/; hostess/v:— x53 ye; 3.1972 +4513. -:= \$497 honest—‘5 I ...
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