Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?

I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.

a. I only
b. II only
c. III only
d. I and II
e. II and III

Answers

Answer 1

Answer: e. II and III

II. The mean of sample G, TG, is a point estimator for the mean of the population.

III. The mean of sample H, my, is a point estimator for the mean of the population.

Step-by-step explanation:

The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.

Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.

However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean


Related Questions

which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!​

Answers

9514 1404 393

Answer:

  (a) -(x+7)/y

  (b) (x+7)/-y

Step-by-step explanation:

There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.

The given expression with -1 factored out is ...

  [tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]

Likewise, the expression of (b) with the minus sign factored out is ...

  [tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]

On the other hand, simplifying expression (c) gives something different.

  [tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]

__

Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).

  Given: (-x-7)/y = (-x/y) +(-7/y)

  (a) -(x+7)/y = (-x/y) +(-7/y)

  (b) (x+7)/(-y) = (-x/y) +(-7/y)

  (c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.

__

Of course, you need to know the use of the distributive property and the rules of signs.

  a(b+c) = ab +ac

  -a/b = a/(-b) = -(a/b)

  -a/(-b) = a/b

__

Summary: The given expression matches (a) and (b).

_____

Additional comments

Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...

  [tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]

Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.

The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.

(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given

(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given

(c) evaluates to (-1-7)/-2 = 4, different from given


Kimberly went 5 miles after walking for 2 hours. If Kimberly's rate of travel st
the same, how far would Kimberly go if she walked for 8 hours?

Answers

Answer:

20 miles

Step-by-step explanation:

5 miles for every 2 hours. There are 4 groups of 2 hour blocks in 8 hours, so we multiply the 5 miles*4 2 hour blocks (5*4). That leaves us with 20 miles is 8 hours.

11 ÷ 3/4=
what dose it means ​

Answers

Answer:

14.66 or 14.7

Step-by-step explanation:

if we solve the equation we get 14.6666 but since it goes on and on we round and put it on 14.7

Answer:

Step-by-step explanation:

11 ÷ 3/4 = [tex]11 * \frac{4}{3}[/tex]

             [tex]=\frac{44}{3}\\\\=14\frac{2}{3}[/tex]

     

Express the reoccurring decimal 0.56 as a fraction

Please see screenshot

Answers

Answer:

I have made it in pic hope it helps

a fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange.

Answers

Answer:

Each fruit cost  $2.65 each

Step-by-step explanation:

530 divided by 2 equals 265

Then move the decimal two places left and you get...

2.65

    Brainliest? I'm trying to level up!

              </3 PureBeauty

Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.

a. Add 3 to each term inside the parentheses, then use inverse operations to solve.
b. Subtract 3 from each term inside the parentheses, then subtract 12 from both sides.
c. Multiply each term inside the parentheses by 3, then use inverse operations to solve.
d. Divide both terms inside the parentheses by 3, then subtract 12 from both sides.

Answers

the answer is C you’re welcome :)

A moving truck can carry no more than 1,480 pound of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he put into the truck?

Let x = # of boxes

Answers

Answer:

I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.

Step-by-step explanation:

Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.

Answers

Answer: There is a strong association between age and weight.

Step-by-step explanation:

The correlation coefficient (r) is used to describe the relationship between two variables.

[tex]-1\leq r\leq1[/tex]

If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.

Here,  Variables: Age and weight.

correlation coefficient = 0.512

That means, there is a strong association between age and weight.

ILL GIVE U BRAINLIST!!

Connor is working two summer jobs, making $8 per hour walking dogs and making $12 per hour landscaping. In a given week, he can work a maximum of 15 total hours and must earn no less than $160. If Connor worked 12 hours walking dogs, determine the maximum number of whole hours landscaping that he can work and still meet his requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

[tex]\mathrm{No\: solutions}[/tex]

Step-by-step explanation:

Since Connor has worked 12 hours walking dogs, he's earned [tex]12\cdot 8 = \$96[/tex] from walking dogs. He still needs to earn [tex]\$160-\$96=\$64[/tex]. As stated in the problem, he makes $12 an hour landscaping, therefore the minimum number of whole hours he must work to fulfill his requirements is [tex]\lceil{ \frac{64}{12} \rceil = 6\: \mathrm{hours}[/tex]. However, the problem states he can only work a maximum of 15 hours. He would have to work [tex]12+6=18[/tex] to fulfill his requirements and therefore he will not be able to meet his requirements with the restrictions given.

What is an equation of the line that passes through the points (-6, 5) and (6, -7)

Answers

Equation of a line is y=mx+c
m is the gradient and c is the y intercept

gradient = change in y / change in x
so it would be -7-5 divided by 6 - -6 = -12/12 = -1

the equation is now y = -x+c

now to find the y intercept you substitute one of the given coordinates into the equation we already have
(6,-7) —> -7= -(-7) + c
= -7 = 7 + c
= c = -14

we put that back into the equation to get line
y = -x - 14

tom scored 23 points in a basketball game. He attempted 15 field goals and 6 free throws. If each successful field goal is 2 points and each successful free throw is 1 point, is it possible he successfully made all 6 of his throws?

Answers

Answer:

No

Step-by-step explanation:

The number is odd, so if he makes all 6 the number wouldn't make sense, because for every successful field goal he gets is 2points; so mathematically it wouldn't make sense.

Answer:

I don't know sorry

Step-by-step explanation:

The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt?

Answers

Answer:

$3.70

Step-by-step explanation:

What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.

Answer:

The shirt would be $14.80 after using the coupon!

Step-by-step explanation:

I hope this helps a bit, have a good day! =)

List Factors of 27??? (Pls answer I don't wanna waste points)

Answers

Answer:

1, 3, 9, 27

Step-by-step explanation:

Answer:

3*7

3*3*3

3^3

Step-by-step explanation:

.............

Which of the following could be points on the unit circle?
A. ( 5/13, 12/13)
B. (6/7, pi13/ 7)
C. (1/3, 2/3)
D. (4/3, 4/5)​

Answers

Answer:

Points A and C are on the unit circle

Step-by-step explanation:

The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.

In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.

A. ( 5/13, 12/13)

[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]

Since the sum of the squares is 1, the point is on the unit circle.

C. (1/3, 2/3)

[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]

Since the sum of the squares is less than 1, the point is on the unit circle.

what is this answer?​

Answers

Answer:

the answer is h=9

Step-by-step explanation:

the answer is h=9

27/3=9

What are the coefficients of this expression? x + y + 2​

Answers

Answer:

1

Step-by-step explanation:

Since the variables dont have any numbers next to them, 1 is the coefficient for x and y

Is 3.5 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

3.t can be written as a fraction, which is 7/2, so yes it is a rational number.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

estimate the quotient 61 ÷ 8 plz help me someone

Answers

Answer:

7.625

Step-by-step explanation:

Will give brainliest, and 32 points. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z Enter your answer in the box. What do I put in the box? Tell me that please.

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

Fill in the given values and do the arithmetic.

  [tex]\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}[/tex]

Answer:

5

Step-by-step explanation:

We know that:

Given expression: [tex]\frac{12z - 3y}{4x - z}[/tex]x = 3y = 1/3z = 5

Solution:

[tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12(3) - 3(\frac{1}{3}) }{4(3) - 5}[/tex]=> [tex]\frac{36 - 1 }{12 - 5}[/tex]=> [tex]\frac{35}{7} = 5[/tex]

Hence, 5 is the answer.

help me.... this is do in 13 min

Answers

Answer:

d

Step-by-step explanation:

The answer would be 2/9

Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3

Answers

Answer:

System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x+3<6  Equation/Question

Step 2

-3x+3<6  Simplify

-3x<3

Step 3

-3x<3  Divide

Answer

x>-1

Hope this helps

-12m = 16 . plz its really important i need some help

Answers

Answer:

-1 and 1/3

Step-by-step explanation:

-12 x -1 1/3= 16

Answer:

-3/4

Step-by-step explanation:

-12m=16

m=12/-16

simplify

m=-3/4

Which angle is congruent to p

Answers

Q is congruent to P because they’re both got the same x and y number the x is 5 and -5 and for y is 3 and -3.

Answer: angle q is congruent to angle p

Step-by-step explanation:

congruent means same size shape, ect....

Identify the population and the sample.

a. A survey of 1000 U.S. adults found that 83% think credit cards tempt people to buy things they cannot afford.
b. Thirty-eight nurses working in the San Francisco area were surveyed concerning their opinionsof managed health care.
c. A survey of 39 credit cards found that the average annual percentage rate (APR) is 12.83%.
d. A survey of 1205 physicians found that about 60% had considered leaving the practice ofmedicine because they were discouraged over the state of U.S. health care.

Answers

Answer with explanation:

In statistics,

Population = Largest set that contains all the individuals or items related to a particular study.Sample = Subset of population.

By using above definitions ,

a. Population = all U.S. adults

Sample = 1000 U.S. adults

b.  Population = all nurses working in the San Francisco.

Sample = 38 nurses working in the San Francisco.

c. Population = all credit cards

Sample =  39 credit cards

d. Population = all physicians.

Sample = 1205 physicians

Let p be a prime. Compute the following sum (mod p):

Answers

I should be 2p...+3p- 1 -2...
___________
2(p-1)
Hop it help

if k(x) =5x - 6, what is (k +K)(4)

Answers

Answer:

40x−48

Step-by-step explanation:

1. Replace k with 5x - 6.

   (5x - 6 + 5x - 6)(4)

2. Combine like terms.

   (10x - 12) (4)

3. Multiply.

   40x−48

evaluate.
[tex] - \sqrt{81} [/tex]
.......

Answers

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5​ of the fence
C) 2/3 hour to complete 1/2​ of the fence
D) 9/4 hour to complete 1/3​ of the fence

Answers

I would assume it’s B and D

Write an equation of the line that passes through (2,3) and is perpendicular to the line shown. Please help!!

Answers

Answer:

7.0

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

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