The following sample data are from a normal population: 12 7 6 3 5 12 9 10 11 2 Calculate the point estimate of the population mean.

Answers

Answer 1

Answer:

The sample mean (x⁻ ) is the point of estimate of the Population mean

x⁻ = 7.7

The sample standard deviation   (S)  is the point of estimate of the Population standard deviation

 S = 3.65

Step-by-step explanation:

Step(i):-

Given data    12  7  6  3   5   12   9   10  11  2

Mean of the data

          [tex]x^{-} = \frac{12+7+6+3+5+12+9+10+11+2}{10} = 7.7[/tex]

x          :     12      7       6       3        5         12      9       10           11        2

x-x⁻      :   4.3     -0.7    -1.7   -4.7    -2.7     4.3    1.3      2.3         3.3     -5.7

(x-x⁻  )² :  18.49  0.49   2.89  22.09 7.29  18.49 1.69    5.29  10.89   32.49

Step(ii):-

Standard deviation of the sample

[tex]S^{2} = \frac{sum (x-x^{-})^{2} }{n-1} = \frac{120.1}{10-1} = 13.344[/tex]

Standard deviation of the sample

 S = √13.344 =3.65

Final answer:-

The sample mean (x⁻ ) is the point of estimate of the Population mean

x⁻ = 7.7

The sample standard deviation   (S)  is the point of estimate of the Population standard deviation

 S = 3.65


Related Questions

Libby earns a mean of 92.9 points with a standard deviation of 5.5 points in her math classes and a mean of 90.3 with a standard deviation of 6.1 points in her history classes. Both distributions are skewed left. If a sample of 30 of her math scores and 31 of her history scores is randomly selected, what is the probability that her mean math score will be more than her mean history score?

0.0401
0.0686
0.9314
0.9599

Answers

Answer:

D. 0.9599

Step-by-step explanation:

Eight oranges cost $1.00. How much will 4 dozen oranges coste
Gm

Answers

Answer:

Step-by-step explanation:

if 8 oranges cost 1 dollars

4 oranges cost 1/2=0.50 cents

one dozen=4*3= 12 oranges

0.50*3=1.50 dollars/dozen

4 dozen=4*1.50=6 dollars

Cost = $6.00

EXPLANATION:

0 = 1 orange

0 0 0 0 0 0 0 0 = 8 oranges = $1.00

1 dozen = 12 (oranges)

4 dozens = 48 (oranges)

0 0 0 0 0 0 0 0 = $1 (1)

0 0 0 0 0 0 0 0 = $1 (2)

0 0 0 0 0 0 0 0 = $1 (3)

0 0 0 0 0 0 0 0 = $1 (4)

0 0 0 0 0 0 0 0 = $1 (5)

0 0 0 0 0 0 0 0 = $1 (6)

I divided the 48 oranges in groups of 8.

One group of 8 oranges equals $1.

There was a total of 6 groups of 8 oranges, without any leftovers.

The Total Is $6.

g(x)=3-x
what is
g(h^2) =
g(x+2)=
g(x)+g(2)=

Answers

G(h^2) = 3-h^2
G(x+2)= -x+1
G(x)+g(2)= -X + 4

a. 792 432,795
What is 432,795 divided by 792

Answers

it is 546.4583333333333, which would simplify to 546.46 if to the hundredths place or 546.5 to the tens place

Answer:

the answer is 546.458333 or 546.46

Step-by-step explanation:

which equation represents a liner function?

Answers

The answer B represent the liner function

find each unit price which is the better buy explain electrical wire $1.89 for 3 ft 89 for 18 in

Answers

Answer:

It all comes down to simplifying it to inches and price so id 18 in” is 0.89 cent’s thats every inch of that 18 is about 4 cents a in” and a $1.89 3 feet is about 5 cent’s

Step-by-step explanation:

So is the first would be a better deal because it is one cent cheaper!

Help pls I no it’s simple but I don’t understand pls look at the pictures or image pls pls number 1 pls

Answers

Answer: The answer would be No, Yes, No.

Step-by-step explanation:

Look at the grid, you can see that it has 100 units in all.

0.42 equals 21/50, so they are both wrong. The denominator would have to be 100. The only logical one would be the second one.

Need help this is urgent!!!

Answers

Answer:

5 units

Step-by-step explanation:

bc = ad

Jackson bought 555 ounces of raisins for $4 dollar sign, 4.

Answers

Answer:

138.75 ounces

Step-by-step explanation:

you can use long division or use a calculator... your choice

Which expressions are equivalent to 4m + 12? Choose ALL that apply.

Answers

Answer:

Your answers are 6m-2m+12 and 4(m+3).

Step-by-step explanation:

This is because for 6m-2m+12, you are dealing with like terms. You are subtracting 6m-2m.

4(m+3) on the other hand, you are using the distributive property. You would carry the 4 to the m and to the 3.

Once you've done that with both of those expressions, they will both equal 4m+12.

Expression is a set of numbers, variables, and mathematical operations formed. The expression 4m+12 can be written as 4(m+3).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

In the given expression  4m + 12, there are 2 terms and both of these terms have 4 as the common factor, therefore, we can write the expression as,

[tex]4m +12\\\\= 4m+(4 \times 3)\\\\ = 4(m + 3)[/tex]

Hence, the expression 4m+12 can be written as 4(m+3).

Learn more about Expression:

https://brainly.com/question/13947055

Lebron James makes 75% of his free throws. If he made 20 shots, how many free throws did he attempt?

Answers

Answer:

75/100×20

0.75×20

=15..............

Answer:

26 shots

Step-by-step explanation:

Please answer this question it is due at 5:00

Answers

Answer:

Step-by-step explanation:

1) 40 +5b =  1240

2) 40 + 5b = 1240 {Subtract 40 from both sides}

          5b = 1240 - 40

          5b = 1200     {Divide both sides by 4}

           b = 1200/4

          b = $ 300

plsss help me out ! i’d appreciate it !

Answers

Answer:

Alright I’m solving right now

Step-by-step explanation:

The length of a rectangle is four more than its width. If the area of the rectangle is 12, find the length of the rectangle.

Answers

Answer:

I don’t know but I have the same question with different numbers

Step-by-step explanation:

For questions 9 and 11, solve for the remaining angles.

Answers

Answer:

Side a = 442.85

Side b = 270

Side c = 255

Angle ∠A = 114.998° = 114°59'54" = 2.0071 rad

Angle ∠B = 33.544° = 33°32'37" = 0.58545 rad

Angle ∠C = 31.458° = 31°27'29" = 0.54905 rad

Step-by-step explanation:

Side a = 442.85

Side b = 270

Side c = 255

Angle ∠A = 114.998° = 114°59'54" = 2.0071 rad

Angle ∠B = 33.544° = 33°32'37" = 0.58545 rad

Angle ∠C = 31.458° = 31°27'29" = 0.54905 rad

Graph for f(x)=6^6 and f(x)=14^x

Answers

Graph Transformations

There are many times when you’ll know very well what the graph of a

particular function looks like, and you’ll want to know what the graph of a

very similar function looks like. In this chapter, we’ll discuss some ways to

draw graphs in these circumstances.

Transformations “after” the original function

Suppose you know what the graph of a function f(x) looks like. Suppose

d 2 R is some number that is greater than 0, and you are asked to graph the

function f(x) + d. The graph of the new function is easy to describe: just

take every point in the graph of f(x), and move it up a distance of d. That

is, if (a, b) is a point in the graph of f(x), then (a, b + d) is a point in the

graph of f(x) + d.

As an explanation for what’s written above: If (a, b) is a point in the graph

of f(x), then that means f(a) = b. Hence, f(a) + d = b + d, which is to say

that (a, b + d) is a point in the graph of f(x) + d.

The chart on the next page describes how to use the graph of f(x) to create

the graph of some similar functions. Throughout the chart, d > 0, c > 1, and

(a, b) is a point in the graph of f(x).

Notice that all of the “new functions” in the chart di↵er from f(x) by some

algebraic manipulation that happens after f plays its part as a function. For

example, first you put x into the function, then f(x) is what comes out. The

function has done its job. Only after f has done its job do you add d to get

the new function f(x) + d. 67Because all of the algebraic transformations occur after the function does

its job, all of the changes to points in the second column of the chart occur

in the second coordinate. Thus, all the changes in the graphs occur in the

vertical measurements of the graph.

New How points in graph of f(x) visual e↵ect

function become points of new graph

f(x) + d (a, b) 7! (a, b + d) shift up by d

f(x) Transformations before and after the original function

As long as there is only one type of operation involved “inside the function”

– either multiplication or addition – and only one type of operation involved

“outside of the function” – either multiplication or addition – you can apply

the rules from the two charts on page 68 and 70 to transform the graph of a

function.

Examples.

• Let’s look at the function • The graph of 2g(3x) is obtained from the graph of g(x) by shrinking

the horizontal coordinate by 1

3, and stretching the vertical coordinate by 2.

(You’d get the same answer here if you reversed the order of the transfor-

mations and stretched vertically by 2 before shrinking horizontally by 1

3. The

order isn’t important.)

74

7:—

(x) 4,

7c’

‘I

II

‘I’

-I

Can you elaborate on the reason why we look for pairs of numbers or variables when we simplify square root expressions?

Answers

We look for pairs of numbers in order to further simplify certain unsimplified square roots. For example, the square root of 20. From this, we pull out a 5 and two 2’s, Since there is a pair of 2’s, we carry one out, and since the 5 is not a pair, it stays inside of the radical. Therefore making it 2√5.

Consider the game of rock-paper-scissors to be a random experiment. How many outcomes are in the sample space of this random experiment

Answers

Answer: There are 9 outcomes in this experiment.

Step-by-step explanation:

Rock-Paper- Scissor is a simple game, in which Rock beats scissor, scissor beats paper, paper beats rock. If any two people made the same gesture it will be a tie.

So if two roommates are playing the game , total outcomes in the sample space = 3 x 3   [By fundamental principal of counting]

= 9

Hence, there are 9 outcomes in this experiment.

F(x) x2+1
What is f(f(x))

Answers

Step-by-step explanation:

(×) x ×2 + 1

x= 2+1

×= 3

3.2 +1 = x

6+1 = 7

×=7

F = (7)

a painter mixed 1/8 quart of red paint with 7/8 paint to make purple paint. how much purple paint did the painter make. ​

Answers

Answer:

It made 8/8 or 1

Step-by-step explanation:

Red is being added to the purple but that makes more purple tho so....yea

2) pplllllss hellppp

Answers

Answer:

A. -1 and 1/3

Step-by-step explanation:

The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them

8^3-9×2÷3 I Need Help

Answers

Answer:

506

Step-by-step explanation:

Following PEMDAS you'd start with your exponent

8^3-9×2÷3

Then you'd move on to multiplication

512-9×2÷3

Then do the division

512-18÷3

Then finish the problem by subtracting these two

512-6

Answer:

506

Step-by-step explanation:

just follow PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

May someone help me pls



In a survey of 40,000 students approximately 5% of the students have five or more siblings. Approximately how many students have five or more siblings?

Answers

Answer:

C. 2,000 students

Step-by-step explanation:

Using the equation, 5% of 40000 = 0.05 × 40000 = 2000, I was able to find the CORRECT answer. 5% of 40,000 is 2,000 students. Hope this helps!

Say on g this is what you will wish for if you only had 3 wishes
1. Unlimited money
2. Unlimited bx tches
3. More wishes

Answers

Step-by-step explanation:

Unlimited money

ay u know how it is with unlimited money

i buy arab countries with them oils innit

And buy a large shares of big companies like Microsoft ,Apple Tesla , SpaceX .. u name it

*) Which of the following best forms the figure shown?
) 2 line segments that meet at an
endpoint
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 rays that meet at an endpoint

Answers

Answer:

how are we supposed to know what u talking about..

Step-by-step explanation:

if there is no PICTURE MWJAUBFNWAF

Answer:

2 lines that meet at the endpoint

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST PLEASE HELP ME PLEASE PLEASE​

Answers

Answer:

1. 2&1/2,0

2. -1 1/2, -1

3. r

Step-by-step explanation:

Answer:

i think p is 2.5,0 and t is -1.5, -1  i dont know  the last one

Step-by-step explanation:

pls dont get if not right

The sum of 3 times d and e

Answers

Answer:

there isnt a picture

Step-by-step explanation:

I need help ASAP you have to find the area of the circle

Answers

Answer:

Step-by-step explanation:

A=πr^2 is the equation for the area of a circle. You are given the diameter, and the radius is just one half the diameter.

A = π8^2

A = 64π or 201.06

Answer:

A = \pi r^2

Step-by-step explanation:

to make this simpler i can solve this for you.

To insert the number into the equation you go like this,

A=(pi)r^2

The diameter is that whole line in the circle which is 16 and the r or radius is half the diameter so you would do 16/2, which equals 8. then you insert that into the equation.

A=(pi)8^2

8 to the 2nd power is 64

And im going to round pi to 3.14

so no the equation is

A=3.14*64

The area is 200.96 mi ^2 or rounded 201 mi^2

I need helps pls :)

Answers

In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.

What is the value of 3 + 1 when n = 4?
13
7
8
12

Answers

Answer:

13

Step-by-step explanation:

3n=12+1=13

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