Let X1,…' ,Xn and Y1,…,Yn be two independent samples. And suppose X1,…,Xn are iid N(µ1,1) and Y1,, Yn are iid N(u2,1). (a) Find a pivotal quantity for µ1 – H2. (b) Suppose n = 18,x = 3 and y = 5, find a 95% confidence interval for u1 - 42.

Q: dactonive: 2. 2.

A: To factorise x2y2z2-16 ⇒x2y2z2-42 We know that a2-b2=a+ba-b Here a=xyz and b=4

Q: 2. 3. 8. 5.

A:

Q: Evaluate. 5(41)

A: We need to evaluate the value of 5(4!)

Q: 12 X-

A: The solution is given below

Q: 10 8/10 + 9 7/12=

A:

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

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Q: 4(2w-5) = 5w + 4 %3D

A:

Q: 18 and 19

A: Question 18 : Consider the statement "If A∪C ⊂ B∪C, then  A ⊂ B " which of the following is a…

Q: 8 14

A:

Q: 619 d. 4 10

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Q: 6. 6. х 14

A: Given: 9x=x14

Q: 3) 24 12

A: We can find the value of x as below

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: 3. Graphically Subtract (-1+i) from (3+2i)

A: If we have to subtract a vector b from another vector a, graphically, then we actually are adding…

Q: 5. 20 52

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Q: 3. 18

A:

Q: Diagonalize the following matrix.

A:

Q: 10 4 2.

A: Solution-

Q: Identify the postulate for each drawing

A: Identify the postulates for each drawing

Q: 6. 4 Z+ 1 z+ 7 2.

A: Given,  4/(z + 1)  =  2/(z + 7)  To find value of z.

Q: 6. 3 (2s+5)³

A:

Q: 2. 27

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Q: 30 40 8.

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Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: 14 and 16

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: - 2 4. - 3 V22 4 2/7 41M

A:

Q: Graph. 0 = - 4

A:

Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.

Q: 8. 11

A: Given perpendicular side to given angle is 11 and adjacent side of given angle is 8. We know that,…