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t Previous Answers 2 022 Notes Ask Your T The home run percentage is the number of home runs per 100 imes at bat. A randsm sample of 43 professional baseball players gave the following data for home run percentages. 1.6 2.4 1.2 6.6 2.3 0.0 18 2.5 65 18 2.7 2.0 19 1.3 2.7 17 13 2.1 2.8 14 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 19 2.4 0.0 1.8 3.1 38 32 16 4.2 0.0 1.2 1.8 2.4 (a) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to two decienal places -229 s 140 dstrbution table, be to use the (b) Campate 90% coendence irterval ner the population mean μ of home ran percentages for snrdessonal basebal players. /let『you use the Student closest d.f. that is smater. (Round your answers to two decimal places ower imi upper limR percentages for ส prdniona, bosetati peres. (Rond your arwers to two decmai (c) Coreovne avg% cerntence intervai forth. population mears of home nn lower i pper
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Answer #1

(b)

Here we have r2.29, s -1.4, n 43 Since populaiton SD is unknown so t critical value will be used. Level of significance: a -0.1 Critical value: t -1.682 Degree of freedom: -n-1-42 The requried confidence interval is: tt-2.29+ (1.4 1.682/sqrt(43)) 2.29 t0.359 (1.931,2.649) Excel function for critical value: TINV(0.1,42) Hence, the required confidence interval is (1.931,2.649)

Answer: (1.93, 2.65)

(c)

Here we have T 2.29, S -1.4, 43 Since populaiton SD is unknown so t critical value will be used Level of significance:a0.01 Critical value: 2.6981 Degree of freedom: df -n-1-42 The requried confidence interval is: 2.29 (1.4*2.6981/sqrt(43)) 2.29t 0.576 (1.714,2.866) Nn Excel function for critical value: TINV(0.01,42) Hence, the required confidence interval is (1.714,2.866)

Answer: (1.71, 2.87)

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