The following are the first quarter and second quarter grades of randomly selected students in Mathematics. During these times, their first quarter teacher was changed to teach the second quarter lessons. Assuming that grades in Mathematics are normally distributed, at 1% level of significance, investigate whether quarterly change in teacher can show improvement on Mathematics grades. 2. 1st Q 82 86 85 84 82 91 82 85 2nd Q 84 85 87 88 86 91 86 88

Q: 5. If a number plus 4 equals two times 6, what is the number?

A:

Q: 2/7 + -4/3

A: Given,

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: (1,-16) and (-3,12)

A: To write down the equation of the straight line joining the two given points.

Q: From the list below, select the values of x for which f'(x) > 0. 2 -1 None of the listed x values -3…

A: Given graph of function

Q: C3x2 + – 4 kx - 5x- 6.

A:

Q: X+X+y if x = 9 and y = 3

A: Given data is x = 9 and y = 3   find x + x + y = ?

Q: x+6 x+5 + = 8 2 3.

A: Simplify the rational expression as follows, The common factor of the denominator is 6. So, multiply…

Q: 4x + 2y=8 6x - 4y=5

A: Given4x+2y=8 and    --- Eq 16x-4y=5           --- Eq 2We solve for x and yFrom Eq 1:2y=8-4x…

Q: order of (Z4, +4) for each element

A: order of (Z4, +4) for each element

Q: 4 1/2 + 3 2/3=

A: Given,

Q: -5,4y+14-2y=4

A: Given ,  4y + 14 - 2y = 4     ....... (1)  We have to find value of y  (1) implies

Q: 2 plus 2

A:

Q: How do I find numbers 2 and 4?

A:

Q: 5\4p=4/3p+5/2

A:

Q: 4=6/2x-3

A: Given query is to find the value of x.

Q: x + y+ z = 2 2 2.

A: Given surface is z=f(x,y)=2-x-y Now , volume of the solid is where R is projection of the solid in…

Q: 4+b=30

A: It is addition and subtraction of numbers.

Q: 0.3x  +  4.6y  =  1 1.6x  +  1.3y  =  2

A: Consider the following system of linear equations: 0.3x+4.6y=1                               ......…

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.