Test 2_Key

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University of South Florida *

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3024

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Statistics

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Apr 3, 2024

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11

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Name (Print): [ £Y Student U #: Signature: o STA 3024 — SECOND TEST — Spring 2023 — Rimbey Instructions: Print your name above and provide your signature and U number. This test consists of 11 problems worth the points indicated by the problem and is worth a total of 90 points. Please make sure you have all 11 problems. Show all your work on these pages. Do not use scrap paper. Only approved scientific calculators are allowed on this test; all others will be taken away and incur a penalty. Calculators can NOT be shared. Cell phones must be turned off and kept out of sight. Problem Score T -
1. (10 points) A physician wants to determine whether an experimental medication affects an individual’s heart rate. She randomly selects 10 patients and measures the heart rate of each. The subjects then take the medication and have their heart rates measured after one hour. The results are shown in the table below. (a) Fill in the data for the last four columns. Absolute Patient | Before | After | Difference Value Rank | Signed Rank I 7 | 75 -5 3 £.5 ~4.5 2 78 75 5 3 5.4 5. 3 75 75 o © - - 4 68 63 g S 1 g 5 80 76 4 4 G s 6 70 68 = L 3 3 7 66 66 O 0 - - 8 7 74 -2 (= 3 -3 9 75 76 ~ | { ' — | 10 74 72 "z - 5 > (b) What is the value of w_ ? Show how you are determining your answer. 5«&«\ o’&\ ~ ronks= -’S.g-s,.\ =-‘fi.§ + (‘&,.nks L5485 F+D3+3 = Z\Qg wsz M(\—QS\ )\ZL-SO :
2. (9 points) In a study testing the effects of an herbal supplement on blood pressure in men, 9 randomly selected men were given the supplement for 12 weeks. The table below shows the measurements for each subject’s diastolic blood pressure taken before and after the 12-week treatment period. Use the Paired-Sample Sign Test to determine if you can reject the claim that there was no reduction in diastolic blood pressure. Use a =0.025. + = o+ A A 4 - * Patient 1 2 3 4 5 6 7 8 9 Before treatment | 123 | 109 | 112 | 102 | 98 | 114 119 X2 | 110 After treatment 124 | 97 | 113 | 105 | 99 119 114 112 121 (a) What are H, and H, and which is the claim? (b) What is the critical value and what is the rejection region? Why? (c) What is the value of the standardized test statistic? Show how you are determining your answer. CO\,\ He 9106"@'(*& M W ;,&QQ MW(&A\MX Ll" " QMW (D) There ot fid«/xo CMJMW“Z‘”T\>
3. (4 points) Write the generic null and alternative hypotheses for the two Wilcoxon tests. LL //C\L—EUL)O/YVT\AIQ‘J«M RM)(-&L-L S an—e : &&5‘(7. d \)( 0°~o Ao LEJ)-C. 4. (9 points) A national price-monitoring organization claims that the median price of used cars sold in the United States is $29,500. In a random sample of 85 used cars sold in the U.S., 9 sold for $29,500; 45 sold for less than $29,500; and the rest sold for more than $29,500. At a =0.025, can you support the organization’s claim? (a) What are H, and H, and which is the claim? (b) What are the rejection regions? Why? (c) What is the value of the standardized test statistic (to two decimal places)? Show how you are determining your answer. (o3 W+ madian=2a500 (cloun) W medion # 24500 (L) Furm Tkl & o dh o =025 »t'u)o—-bduz%o’-‘?_-?,‘l K”YK‘@ e E«— 2.4 &vz,zfl (¢) & Ll 24 S00= 48 O ak 294,500 = 9 A Jewe 24500 = §5- 46— =51 x = ma (3 4 S)= 3| L;S\—r,g)’,g(?(Q\ _T 49 '\/976/1
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