Q4. Sample surveys conducted in a large country in a certain year and again 20 years later showed that originally the average height of 420 ten-year-old boys was 54 inches with a sam- ple standard deviation of 2.8 inches. On the other hand, 20 years later, the average height of 480 ten-year-old boys was 56 inches with a sample standard deviation of 2.4 inches. Test the hypothesis Ho : 1 - 12 = -0.5 against the alternative H : m-2< -0.5 at 0.05 level of significance where H and 2 are the true average heights of boys 20 years before and after, respectively. Suppose the populations are normally distributed. (i). Test the hypothesis by finding the Critical Region. (ii). Test the hypothesis by finding the P-value (note that you do not need to find the exact P-value from the table. But, you can still conduct the test).

Q: 36, Consider the figure shown. SEE EXAMPLE 3 x+6 cm x+6 cm a. What expression represents the total…

A:

Q: A certain drug is used to treat asthma. In a clinical trial of the drug, 17 of 274 treated subjects…

A: Solution

Q: The minimum salary for a hockey player in the National Hockey League was $500 thousand in 2010, and…

A:

Q: Which of the following expressions are equivalent to 3? Select all that apply.

A: Option a. log28=log2(2*2*2)log28=log2(23)log28=3*log22log28=3*1log28=3   Option b. 3ln e = 3 *13ln e…

Q: Compute the following probabilities: If Y is distributed N (-4,4), Pr (Ys - 6) = .1587 . (Round your…

A:

Q: Determine the standard form of an equation of the parabola subject to the given conditions. Vertex:…

A:

Q: The current in a certain circuit as measured by an ammeter is a continuous random variable X with…

A: Given that probability density function is  f(x)= 0.075*X+0.2  then approximate value of f(x) at x=…

Q: 17 yd L-11 vd. Calculate The Surface Area of the image above. Surface Area yd 2

A: Given : Given image is of the right circular cone in which radius r=11yd slant height(l)= 17yd   To…

Q: Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0)…

A: Since you have asked two questions, here is the solution of part (a).

Q: It has become common for shoppers to comparison shop using the Internet. In a survey, respondents…

A:

Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A:

Q: 68. Approximating Pi (a) Show that 4 dx = n. 1+ x2

A: Given to prove ∫0141+x2=π

Q: Triangle ABC is similar to triangle FGH. H A 6 cm в G 15 cm What is the value of x in centimeters?…

A: Given triangle is : To find the value of x

Q: EXPLORING CONCEPTS Transformations of Functions In Exercises 81–86, assume that f is differentiable…

A:

Q: Eighth grade > *Z.16 Evaluate a linear function: word problems DA6 You have pri. This equation shows…

A:

Q: 3. Evaluate the following sums. (a) E (k-5k) (k* – k=-1 (b) E(i+2)3 Zi bi+ 1a %3D 3. i=1 3.

A:

Q: 8 a) Solve the recurrence relation an an-1 + an-2, n 22, ao = 1, a = 2 %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Problem 4 A mound of blue powder dye is placed on a flat surface in the x-y-plane as shown. The flat…

A: Given: The top surface of the mound is defined by zx,y=sinxsiny and the surface is a square of the…

Q: .... et A = (0,0) and B = (12,5). There exist points on the y-axis that are twice as far from B as…

A: a) Consider the graph:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.