Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use a = 0.10. %3D (a) What is the level of significance? (Enter a number.) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: 4 < 4.3 g; H1: µ = 4.3 g; left-tailed O Ho: H = 4.3 g; H: µ > 4.3 g; right-tailed O Họ: u = 4.3 g; H: µ < 4.3 g; left-tailed O Họ: 4 = 4.3 g; H: µ # 4.3 g; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution with unknown a. O The Student's t, since we assume that x has a normal distribution with known o. O The Student's t, since n is large with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. Compute the z value of the sample test statistic, (Enter a number. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.) 3. -1 -2 -3 12:52 PM 1/8/2020

Q: 7) Find the solution to the equation V2x + 5 - 6= -4.

A: We have to find x

Q: 1. Solve the following equations:  |2x+8|=3x+7 2|x - 7|=x-8 |3x-5|=4+2x

A:

Q: the solution of A=19 is incorrect. The answer was suppose to be A = 21 but I am not sure how that…

A: Graph:-

Q: 7. 5x-21x + 4= 0

A:

Q: [o 0 -1 A = 5 11 -38 -1 -2 7 then -1 -2 -11 -3 1 A-1 -1 1 Given b = solve Aa = b.

A:

Q: 4)3y-4z = -2 3x-4y+z=-9 3-3x-2y-2z = -5 %3D |

A:

Q: Solve the system x1+x2 XI X2 X3 X4 Answeris) submitted: XI H-E1-E +s = 1 =-5 x3+x4 = 4 +x4 = 10…

A: We have given a system of equation, x1+x2=1x2+x3=-5x3+x4=4x1+x4=10 Let us convert given equations…

Q: 39. x2-8x + 17 = 0 40. x² + 29 = 10x %3D %3D

A:

Q: it

A: We solve given IVP by two different methods.

Q: 2) What is the value of x in the equation V2r + 3 = 2?

A: We have to find the value of x

Q: e2x – 6et – 27 = 0

A:

Q: In step 2 it says A,B,C,D are incorrect but then it says Option D is correct in the solution?

A: The hypothesis is H0: p1=p2 vs Ha: p1≠p2  and the p-value is 0.0015

Q: 8. 6x + 5x +1 = 0

A: A quadratic equation is any equation that can be rearranged in standard form as,  ax2+bx+c=0 where x…

Q: 2y 4y2 + 3y 6

A: solution:⇒2y3+4y2+3y+6=0⇒2y2y+2+3y+2=0⇒(y+2)(2y2+3)=0⇒(y+2)=0 or (2y2+3)=0⇒y=-2 or 2y2=-3⇒y=-2 or…

Q: Please help

A: Comparing the given quadratic equation by ax^2+bx+c=0, we have a=1, b=-2, c=-6.The solution of given…

Q: is there no step 3 to this solution? and why does it end like that like what exactly would be the…

A: There is no any step 3. i am going to derive equation again.

Q: If  x3 + y3 = 30, x+y =6, then 1/x+1/y = ?

A: We need to find,

Q: Find the solution to the problem 5x + 2y =12 - 6x-2y=-14 (__,__)

A:

Q: I tried the solutions you did, but it still said that it's incorrect. I don't know what else I could…

A:

Q: /4x-4 a. x=-4, x =-1 b. x=-2, x = 2 C. d.

A:

Q: What's the answer for problem 16

A: it is given that, 13,10,7,5,7,7,2,4,3,2,3,15,4,4,2,8,7,8

Q: this answer is wrong, is there any way we could find the correct solution?

A:

Q: Hi! I needed a solution for two different variable; the answer above shows the same two variables…

A: DurationCost of…

Q: a. Solve x2 + 2x-y+1%30 and x + y-1=0 using Elimination Method

A:

Q: Is there a simpler way to solve this solution by P= A/B

A: The number of questions, The True or False question has two options. So, the probability of success,…

Q: 0 = A + Bln 4 1 = A + Blm 6 Solve for A, B

A: Ans : A = -3.419 and B = 2.466Explanation:Explaination:

Q: 2. Determine the general solution of the following equation X₁ 3 -1X1 e 1-(³ + X₂ 1

A:

Q: solve 9.) In (3x-13)-8=3

A:

Q: What would be the solution to #2 and #4 with steps included?

A: We have to find the value of the given trigonometric function.

Q: Is this also the answer to this question: x4/4 + 1/2 + 1/4x2. If it is, can you show the solution to…

A: We can check is this also the answer to the question :  x4/4 + 1/2 + 1/4x2 .

Q: 6. 2 a. Solve the equation 3(3x² + y2)x - 2xydy = 0. x² = c(9x² + y²) x² = c(3x² + y²) b. C. d. x³ =…

A: The given differential equation is a homogeneous differential equation. We can solve the given…

Q: 15 x

A: Given: ∫x415x5-14dx To Find: The value of the given integration

Q: Solve 4cos20 - 1 = 0 and write the general solution.

A: Cosx = cos y  Then general solution is  x = nπ +- y

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.