The average weight of a professional football player in 2009 was 2462 po inds As

Question

The average weight of a professional football player in 2009 was 2462 po inds Assurne the op ulat n sta dan d professional foofball players was selected Complete parts a through e a. Calculate the standatd error of the mean ahon s 25 p u . ander Round to two decimal places as needed.) b. What is the probabiity that the sample mean will be less than 235 pounds? P(x 245-06179 (Round to tor decimal places as needed) d. What is the probabity that tne sample men will be between 251 pounds and 258 pounds P (251sx258) 0 1136 ry Incomect 0 Round to four decimal places as needed ) e. Identify the symrnetical nervai that rcludes 95% of the 53mpde means if the tue pops.dation mean is 2462 pounds Round so the nearest pound as needed Erter your answer in the edh felds and then clizk Check Answer All parts showing oarA

Explanation / Answer

Ans:

a)standard error=25/sqrt(39)=4.00

b)

z=(235-246.2)/4=-2.80

P(z<-2.80)=0.0026

c)

z=(245-246.2)/4=-0.30

P(z>-0.30)=0.6179

d)

z(251)=(251-246.2)/4=1.2

z(258)=(258-246.2)/4=2.95

P(1.2<z<2.95)=0.1136

e)z values for 95% interval are +/-1.96

lower limit=246.2-1.96*4=238

upper limit=246.2+1.96*4=254

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