Bill Alther is a zoologist who studies Anna's hummingbird (Calypteanna). A random sample of nine of these birds was caught, weighed, and released in a remote part of the Grand Canyon. The weights observed (in grams) were : 3.7 2.9 3.8 4.2 4.8 3.1 3.5 4.3 3.0 Let x be a random variable representing weights of Anna's hummingbirds in this part of the Grand Canyon. Assuming x has a normal distribution with sample standard deviation 0.648. The population mean is 4.55 grams. (a) Calculate the Sample Mean of the above mentioned data values. (b) Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less tham 4.55 grams? Establish the Null and AIternate Hypothesis. (c) Compute the Test statistics of the sample data using Student's t-distribution table. Take a= 0.05 (d) Find the P-value or range of P-values. (e) Conclude the test and interpret the result.

Q: could you clarify part a please ? is that a g? or a 9? what is part a answer??

A: Given that f(x)=x2-5x-14x-7we have to find limx→7f(x)

Q: Need assistance with c through e only!

A:

Q: E H.

A: The given figure We have to show that ∠A≅∠E

Q: 4K Vx4+9 dx

A: Use substitutions to solve

Q: The degrees of freedom are directly related to

A: Let, X1,X2,...,Xn be the samples from normal distribution. Let, S2 be the sample variance.  We know…

Q: 11 2 1 -2 O a. -1 b. C. d. 2. e. 3. 3.

A: abcd = (a*d) - (c*b)

Q: Can you please help with parts v & vi, thank you

A: (a) (V)   Obtain the probability of P(S and W)   The probability of P(S and W) is obtained below as…

Q: Attached.

A: To prove the statement,

Q: I also need help with b, c, and d

A: Data is given for apple ratings  We have to interept standard deviation  We have to calculate iqr…

Q: assistance

A: As all The problems are different. We shall solve b only. For others kindly post again by mentioning…

Q: S 23x26 ++16 dx

A: Here we have to integrate the given Integral.

Q: In the diagram, what is the area of the shaded region? а. 9т — 36 b. 12т 36 с. 9т 18 d. 127 - 18

A: Given, a circle with radius  6. Also, a triangle is inscribed inside the given circle, the triangle…

Q: Section E pls

A: E. Given  f(x) = 3x g(x) = x - 5 To find  d. (fog)(x) e. (gof)(x) f. (fog) (2)

Q: Refering to Figure 1, b. a C Figure 1

A: Given, figure

Q: calculate d and e with good working outs ...

A: To solve the following first order linear differential equation, is given by

Q: ( 2sinx sin(2x) dx

A: Given,        ∫2sin2xsin(2x)dx

Q: 1. In circle A below, which of the following is not true? O EF is a chord CB is a tangent line BA is…

A:

Q: Stl To

A: We have to use standard Laplace transform.

Q: yA C F. Exs. 12, 13

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: The height of bean plants and the amount of water they receive A. Independent B. Dependent

A: The variable whose value not affected by any other variable is known as independent variable. The…

Q: c. Aº d. (AUB) nc

A:

Q: I need help with E,F,g,h please

A: (e) The coefficient of determination, r2, is the proportion of the variation that is explained by…

Q: Show that A CB = CB C CA

A: We have to prove that : If A is subset of B than (competent B) is subset of (competent A) I will…

Q: can you do parts d,e,f aswell please

A:

Q: Evaluate fe e-²²-3² dx, where a > 0.

A: Given integral as ∫0∞e-x2-a2x2dx where a>0

Q: reed.

A: Hey there! Thank you for posting the question.  Since there are multiple questions posted, we will…

Q: b. 14, 20

A:

Q: xp (2xe-** } -4x

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: ges. The results 89 take French. 92 take German. 44 take French and German. 47 take German and…

A: From given statements we can make the venn diagram and solve for the questions asked

Q: 3. Find A and 0 in the following equation √3sin(330°) = A cos(0) where is an angle in the

A:

Q: dy y2-8y+5 13-1 dx x2+2x+5

A:

Q: e. (ANB)UC f. ACUBUC е.

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.