A psychologist wants to know how the size of social support networks change during early childhood. The psychologist randomly selects 3 kindergarteners to participate in their study and records their number of frienc psychologist then follows up with the children in 1st grade and 2nd grade and records their number of friends. The psychologist's data are presented in the table below. Use these data to answer the following questions. To determine the critical values, use the table in your PPT slides. **Round to the nearest hundredth decimal place as you complete the problems! *Find the critical value for p .05 (or 5%) Kindergarten 2nd 1st Grade Grade 12 4 3 5 What is Sxbar for the Tukey HSD Test?

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

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Q: 3/20 + 13/15 combine.

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Q: A curve is given by the equation y = ln (2³+¹). x5

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Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

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Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 3s – 7 s- 2s + 3

A:

Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

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Q: expand (a-b)7

A: The solution is given in the next step.

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

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Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 9/12+3/24

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Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

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Q: 2(3+d-1)

A: Solve the given expression  given expression is 2(3+d-1)

Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

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Q: 1) (8s° - 9s) - (3s° + 4)

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

Q: 1 + 2n < n° for all integers n² 2

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Q: 4.) Which expressions have a negative product? Select all that apply. A. (-1)(2)(-3) B. -(-3)(-2) C.…

A: Solve the following

Q: 57-24

A: Given that: 57-24

Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: find: (m+I) m!

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Q: 5 (4k + 3) k 1

A: Given,

Q: Prove that n² +n is divisible by 2, where n E N.

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Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

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Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 5s – 6 Find L s² – 4s + 7.

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Q: (7) (-4) + (-4 × 6) x

A: We need to solve algebraic quantity.

Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

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Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

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Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15