akeest-Nicholas Noble- Micresot Idge STA 220 Sulivan 5e- 75Z1 2425 Test: PRACTIC

Question

akeest-Nicholas Noble- Micresot Idge STA 220 Sulivan 5e- 75Z1 2425 Test: PRACTICE Final This Question: 1 pt 26of33(19 complete) Suppose a simgle random sample of size n- 36 is abtained som a population with p- 9 and-6 a) Descrbe the sampling distribution of x (b) What in P (x903)? fc) What is P (86 55)? d) wWhat is P (7 65cx90 95) (a) Choose the comrect description of the shape of he samging distribution of OA. The abdonis skewod ght B. The distribution is skewed left O C. The disibution is uniforn D. The distribution is appeoximabely narmal. E. The shape of the distribstion is unknown Find the mean and standard deviation of the sanping dotribuion of x ) p (x»983)-(Rownd so sur decimal places as needed)

Explanation / Answer

a) option D is correct

mean =89

std deviation =6/(36)1/2 =1

b)P(X>90.3)=P(Z>(90.3-89)/1)=P(Z>1.3)=0.0968

c)P(X<86.55)=P(Z<(86.55-89)/1)=P(Z<-2.45)=0.0071

d)P(87.65<X<90.95)=P(-1.35<Z<1.95)=0.9744-0.0885 =0.8859

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