1 Normal 1 No space. Heading 1 ading 2 Title subtitle Subtle Em... aragraph For
ID: 3253296 • Letter: 1
Question
1 Normal 1 No space. Heading 1 ading 2 Title subtitle Subtle Em... aragraph For questions 1-5 X, X X6 is a random sample from a distribution with mean H 0.32 and variance o2 1.39 For questions 6-10, X1, X2, X40 is a random sample from a distribution with mean H 1.96 and variance o2 3.55. QUESTION 1 1. Find the mean of the sample average. 1 points QUESTION 2 1. Find oax the variance of the sample average, points QUESTION 3 1: Find s 0.07 1 points QUESTION 4 1. Find 0.07 1 points QUESTION 5 1. Find p (0.01 sx 0.50) 1 points QUESTION 6 1. Find ug the mean of the sample average. 1 points QUESTION 7 1. Find az the variance of the sample average. points QUESTION 8 1, Find Plx 61)Explanation / Answer
1) MEAN=0.32
2) varinace of sampling distribution=1.39/26=0.0535
3)std devaition of sampling distribution =(0.0535)1/2 =0.2312
hence P(X<-0.07)=P(Z<(-0.07-0.32)/0.2312)=P(Z<-1.6867)=0.0458
4)P(X>-0.07)=1-P(X<-0.07)=1-0.0458=0.9542
5)P(0.01<X<0.50)=P(-1.3407<Z<0.7785)=0.7819-0.0900 =0.6919
6)mean=1.96
7) variance =3.55/40=0.0887
8) std deviation=0.2979
P(X<2.61)=P(Z<(2.61-1.96)/0.2979)=P(Z<2.1819)=0.9854
9)P(X>2.61)=1-P(X<2.61)=1-0.9854=0.0146
10) P(1.77<X<2.77)=P(-0.6378<Z<2.7189)=0.9967-0.2618=0.7349
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