A popular myth is that for identical twins, one is the "nice one" and one is the "mean one." Fourteen pairs of identical twins were randomly selected and given a personality test for measuring "niceness" or “meanness" where the higher score implies "niceness" and a lower score implies “meanness." At the 1% significance level, is there a difference in the personality scores between the identical twins. First Born 43 54 49 53 49 52 58 51 59 48 45 49 47 46 Score Second 52 47 46 50 51 50 45 46 47 49 54 50 54 Born Score 50

Q: 4. 3. 4, 8.

A:

Q: dx 0 4-x

A: To evaluate the integration.

Q: 2. 3. 8. 5.

A:

Q: 8. 8. 3/ 2.

A:

Q: 14. 10 19

A: 14 Consider the sine angle property is, sinx=perpendicularhypotenuse

Q: 12 X-

A: The solution is given below

Q: 1o.e 4.60

A: trigonometry rule

Q: 10.0

A:

Q: 9.25x25

A: SOLUTION-

Q: 11. 10 22

A:

Q: Alt 8. 5. 14.

A:

Q: d) | 4f(x)| dæ =

A:

Q: 14.

A: I have used theorem for circle

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

A:

Q: 6.1 10

A:

Q: 6. 6. х 14

A: Given: 9x=x14

Q: 20 9.

A:

Q: 6.3 3

A:

Q: 6

A: In the question it is asked to find the angle x° for the triangle shown in the figure.

Q: 60.91-2.856

A: We want to find the value  60.91-2.856=?

Q: 10. 6. 3.

A: we have to find the radius of circle from the given figure

Q: 7. 45

A:

Q: 16. 15 11.3

A: We know that, cos(x)=adjacent/hypotenuse.

Q: 4. 215 415

A:

Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 12 8. 4

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

Q: 18.5x9.40

A: To calculate: 18.5 × 9.40

Q: 2.763-4.5(2.1x-5.1432)=6.32x+5

A:

Q: 12. 30 y

A:

Q: 1. 12

A: We can use the concept of Pythagoras theorem to solve the given problem.

Q: 11. 6.

A: We have to find radius

Q: 5.1  5

A:

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

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.