3. A research assistant is asked to draw two independent normally distributed samples. The first sample, X has a 10 observations with a mean of 1 and sample variance of 2. The second sample, Y has 20 observations with a mean of 0.5 and a sample variance of 3. Test the following hypotheses: (a) X = Y (b) X >Y (c) Var(X) = Var(Y) (d) Var(X)= 1.5 (e) Var(Y) = 2.5

Q: 23) If u = (-5, 7), v=(-4, 6), and w = (-11, 2), evalu ate u v- u w. %3D

A: We have to find dot product

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A: Given :BC = rAB = 8AC = r+6

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A: I am attaching image so that you understand each and every step.

Q: If z'=z then

A: We have to use substitution of z.

Q: Which of the following graphs represents (x + 1)² = 8(y - 3)?

A:

Q: 4. Explain how to use the formula P(A or B) = P(A) + P(B) – P(A and B). Be specific. %3D

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Q: 3 5.6 4 8.75 5.

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Q: Evaluate 5dy 36. J (3– In y)

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Q: e- e Differentiate y e*+ e+ 4. O a. (ez+e =)² 4 Ob. (e2z -e =)* O c. (2ez +e #)² O d. (4ez +e 2z

A: y=ex-e-xex+e-xy=ex-1exex+1exy=e2x-1e2x+1

Q: 12. If 2x – 18 = -5, then 2x = ? %3D F. -23 23 G. 13 Н. 4 13 J. 2 К. 13

A: Given  2x-18=-5  To find Value of 2x

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A: First we find some y value for some x values. Then plot the graph.

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A: This is Laplace transform we have to find the Laplace transform of the given function

Q: 7. Find the values of x, y, and z. 63"

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Q: What are the values for X Y and Z?

A: We have been given the right-angled triangle ABC

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Q: السؤال 6 e =1 z=2kni z=2ki O

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Q: 19. Circumcenter Find HF E 26 B с 33 G - 58 32 D

A: Circumcenter:-1. Cirumcenter is the perpendicular bisector of any two sides of triangle2. All the…

Q: Simplify. 1) y.xy 2 2

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Q: Find x and y in terms of a. X + y = 0 х+ ay %3D 6 (а + 1) (х, у) —

A: Given:    x + y =0        --------1   x + ay = 6     --------2 from 1: x = -y put the value of x in…

Q: 6 Trey knows that 3 + 4 = 4 +3 and 3.4 = 4.3. He says that 34 = 43. Is Trey correct? Explain your…

A: given that, Trey knows that  3+4=4+3 and 3·4=4·3 so he says that 34=43 is Trey correct? properties…

Q: 2. Given AUVW ~ AUST , determine the value of x. V 24 S T 5x + 11 88 18 U W U

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Q: 12. Find x and y. 30 16-3 A. x=16 6, y = 813 B. x= 1613, y= 16 %3D C. x 24. y= 8V3 %3D %3D D. x= 18,…

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Q: What values of y and z make AIJK ATVU? K 41 38 U z+33 y+31 y = Z =

A: topic - congruent triangles

Q: 13. A square plot of land measuring 100 meters × 100 meters is fenced around it. To detect abnormal…

A: A square plot of land measuring 100meters x 100 meters is fenced around it. To detect abnormal…

Q: 7 gal 3 qt + 5 gal 2 qt=

A: Now, objetive is to find 7 gal 3 qt + 5 gal 2 qt=----------------

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Q: 1. What is the difference between x and µ? between s and o? 2 Explain tho

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A: Given : Figure is given

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A: Given that a circle and find value of QS . Here i attached solution of this question.

Q: 22 Evaluate s cos (Iz)e dz

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Q: If c 1b and a || c, what is m2? 个b 1 2 34 56 7 8 О А. 90 о В. 105 ос. 75 O D. not enough information

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Q: ngene 1. 2. 3. B 5x - 4 6 (Br 2x2 + 8х - 17, C. Зх + 6 A &х + 15

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Q: immediately

A: We will find the integral.

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.