Lecturers at a university intend to see the effect of stress relief strategies such as deep breathing and relaxation techniques to the student performance in the final exam. For this reason, they assigned students of the same year in two different cohorts. More precisely, students in Cohort 1 did not do any relaxation techniques before the exam, while students in Cohort 2 performed a full range of the relaxation techniques approved by the British Psychological Society. The average mark of a random sample of 17 students from Cohort 1 was 61, with a standard deviation of 17, while the average mark of a random sample of 11 students from Cohort 2 was 67 with a standard deviation of 19. (c) What does the p-value that you calculated in (b) indicate about the null hypothesis? (d) Calculate a 95% confidence interval for the difference in average marks in the exam for the two cohorts of students. Explain the meaning of the 95% confidence

Q: Find dy 2 2.

A: From the given problem:   x2y2=x2+y2   As we know that the Power law:   dxndx=nxn-1   Now…

Q: Find the value of X

A: in circle

Q: what are parts d and e?

A: We are given an equation for the line of best fit as,

Q: S t Vat²-b dt

A:

Q: 6 dx. 1+ 9x2 Calculate

A:

Q: S. x Y+ 3 x²

A:

Q: Integrate. 5.

A: Using Substitution method,

Q: Find X ,Y and Z

A:

Q: Complete.

A: We have ,  7x=910

Q: If a car can travel 180 kilometers in 2 hours, how many hours will it take the car to travel 315…

A: Given that car can travel 180 KM in 2 hours .

Q: 1 | y/35y² dy 2

A:

Q: 4w2 -324=

A:

Q: 1.

A:

Q: 3) %3D 2.

A: Two dimensional wave equation , by using separation of method

Q: Simplify. 4x- (3a y) -3 1 27 Option A Option B 1 1 Option C Option D 27y 36* y Option D Option A…

A:

Q: dy ー1

A: Given:

Q: Q2. If f =+ then of and ду of

A:

Q: 8 - 128x V81 - 64x2 "xp-

A:

Q: riable. 2. 4.5 5x 3 지 .7 y

A:

Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: Fin d the limit. lim 5x° メーッ0 Sin 3x tanx

A:

Q: 2.) y = -2x - 3

A:

Q: 7. Given i = (-4,4, – 4] and [- 5,6, 2] find b. i • i

A: Given:         u→=-4,4,-4        v→=-5,6,2

Q: -4ť? dt

A:

Q: C 3 %3D BA = %3D

A:

Q: Add. 13 21 13 T8 O12 3 6.

A:

Q: 3. e2In 2x %3D 4x. B 2r. 4x D In 2x.

A:

Q: Consider the figures, each with radius r. COS Which equation best relates the volumes of the three…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: Differentiate.

A: ddxxn=n xn-1

Q: 5. Solve xdx + ydy = xdy – ydx %3D |

A: Introduction :

Q: Calculate A and B so that t B %3D 1+1 (1-z²)

A: