II. Solve the following problems involving Test of Difference of Means. Show your full solution including hypotheses and conclusion. 2.A factory worker operates on 2 shifts a day, a day shift and an afternoon-to-evening shift. While the production manager believes that the average output per worker is higher during the day shift than it is during the night, there are still times that he cannot be certain as he has observed some night shift workers to be quite alert. He decides to find out by recording the output of a sample of 50 workers during the day whose average output is 250 units with standard deviation of 15 units and those of a sample of 40 workers from the night shift whose mean output was 240 units with a standard deviation of 10 units. At 1% Level of Significance, do the sample results support the manager's observation about the day shift productivity being higher than that of the night shift?

Q: 3. √11

A:

Q: Find (+72+6) dz + C

A:

Q: V(3278)3 + 6230 – 12e90i

A:

Q: -11sin (z)dz -

A:

Q: 10. (x² – 2y)³ 3

A: Given,          x2-2y3

Q: Find m2C and mZD. B. (3c - 17) (c+ 1) A

A:

Q: Determine a conclusion. Choose the correct answer below. the null hypothesis. There is difference…

A: That is, there is no evidence to conclude that there is significant difference between the two…

Q: 6-7:

A: 6-7=-1

Q: Multiply. 3 x-4 3 3 2 X+4

A:

Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

A:

Q: 196. 2(n+1)

A:

Q: 2.) 8(b+ 1) + 4 = 3(2b – 8) – 16

A: We can find the value of b in the following step

Q: a) : ?

A: here differentiate both sides with respect to x.

Q: to 2A+7 n-1

A:

Q: V16-x² B Evaluate S. Sezy2) (x²+y²) /16 –r²drdzde -

A: Given integral is, I=∫04∫016-x2∫x2+y24416-r2drdzdθ Now, integrating the given integral,…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: (4 – a2)

A: To integrate.

Q: 1x x*-5 =xp C O None of the other choices

A:

Q: 5)235

A: Answer : 47

Q: 2070 = (16a + 10)15

A: 2070 = (16a+10)15 And (16e+11)17 =3723 To find  the values of a and e

Q: 9. (x² – 2)3

A:

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: Simplify. [(21)4]² 1615 Enter your answer in the box.

A:

Q: Find Σ +i . Ο 30 Ο 31 Ο 32

A:

Q: 28 Σ

A:

Q: 1 3. s'+3s²

A: We have to find Laplace inverse by convolution theorem.

Q: |番,曲 1 dx (r-2)² 5. 2.

A: Given :

Q: Q53(a.)

A: Given          f(x)=2x3+10x2+12xx3+2x2

Q: (1+2 In æ)4 6.

A: topic - indefinite integral

Q: Evalvate S (4sin co) -8cos co) )do

A: Given that: ∫0π(4sinθ-8cosθ)dθ

Q: 8y -(5y + 2) = 16

A: Here we will find the value of 'y',

Q: What is the least common multiple of 12 and 2? lcm (12,2)=(

A: Algebra

Q: 2r dr (1 - r)"

A:

Q: 3x Зх- 11 A E x +9

A:

Q: х ах 2(5+x²)4

A:

Q: 9. x+8

A: For two intersecting chords , the  multiples of the lengths of the line segments on each chord are…

Q: Show that a6-1 is divisible by 168 whenever (a, 42)=1.

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.