7. A survey of the white and nonwhite population in a local area reveals the following annual trip frequencies to the nearest state park: = 4.1, x₂ = 3.1, s² = 14.3, $2= 12.0, n₁ = 20 n₂ = 16 where the subscript '1' denotes the white population and the subscript '2' denotes the nonwhite population. a. Assume that the variances are equal, and test the null hypothesis that there is no difference between the park-going frequencies of whites and nonwhites. b. Repeat the exercise, assuming that the variances are unequal. C. Find the p-value associated with the tests in parts (a) and (b). d. Associated with the test in part (a), find a 95% confidence interval for the difference in means. e. Repeat parts (a)-(d), assuming sample sizes of n₁ = 24 and n₂ = 12.

Q: Why the final answer is 4sin(1+x)?

A: To simplify 4 sin 5x cos 6x+4 cos 5x sin 6x.To justify whether the final answer is 4 sin1+x.

Q: Determine: if S = {4t - t2, 5 + t3, 5 + 3t, -3t2 + 2t3} is a basic for P3

A:

Q: Suppose that an airline uses a seat width of 17.3 in. Assume men have hip breadths that are normally…

A:

Q: Which example does not illustrate the commutative property? A. 6(x+4)= (x+4)6 B. 2+ (8y + 3x)=2+…

A:

Q: Let A=[-5   -8]            [   7   4]   Find -4A

A: Given the given matrix is A=-5-874

Q: nd f(7zº + 5x³) dx Find + C

A: Given:     ∫7x6+5x3dx=∫7x6dx+∫5x3dx=7∫x6dx+5∫x3dxwe know that ∫xndx=xn+1n+1

Q: What is the coefficient of d5e2c in (d+e+c)8

A: Given (d+e+c)8 = (d+(e+c))8= Cr d8-r (e+c)r8= Cr d8-r Ck er-k ckr8= Cr Ck d8-r er-k ckr8 We need to…

Q: If P(A) 0.3 , P(B) = 0.8 and P(A or B) = 0.9 Find P(A and B).

A:

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: 7. Simplify and evaluate. (2x³y²)³ a) (x’y (9y)? b) for y=-2 (3y*)

A: Given: a)2x-3y23x3y-42b)9y23y-13

Q: Which expression has the smallest value? F19| A |-34| D 47| D.

A:

Q: = B=( nds 2A – 38. Sean A %3D y B = Finds 2A 3B.

A:

Q: Show that 14C5 x 5! = 14P,. %3D

A: Combination formula:Crn=n!r!(n-r)!Permutation formula:Prn=n!(n-r)!

Q: what is 2(p+4)=2

A: Step 1:  2(p+4)=2 Step 2: 2p+8=2 Step 3: 2p=2-8 Step 4: 2p=-6 Step 5:  p=-6/2 Step 6: p= -3