MATH 227 Statistics (Mon/Wed 7:00 to 9 05 p m Homework: Homework #13 (Due Monday

Question

MATH 227 Statistics (Mon/Wed 7:00 to 9 05 p m Homework: Homework #13 (Due Monday, November 13 at 7:00 Score: 1 of 2 pts 15or 17 ( 17 complete) 6.5.9-T Assume that women's heights are normally distributed with a mean gr en by .62 4·n, and a standard de ation gr en by d-18 n Complete parts a and b a·lf 1 woman rs randomly selected, find the probability that her height is between 61 7 n and 62 The probability is approximately 0 2175 (Round to four decimal places as needed) b. 1 17 women are randomly selected,find the probabilily that they have a mean height between 61 7 m and 62 7 n The probability is approximately Round to four decimal places as needed)

Explanation / Answer

a)P(61.7<X<62.7)=P((61.7-62.4)/1.8<Z<(62.7-62.4)/1.8)=P(-0.3889<Z<0.1667)=0.5662-0.3487=0.2175

b)

for std error of mean =std deviation/(n)1/2 =0.4366

P(61.7<Xbar<62.7)=P((61.7-62.4)/0.4366<Z<(62.7-62.4)/0.4366)=P(-1.6034<Z<0.6872)=0.7540-0.0544=0.6996

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