Construct a 90% confidence interval for the population mean, . assume the population has a normal distribution. a sample of 15 randomly selected students has a grade point average of 2.86 with a standard deviation of 0.78

Answers

Answer 1

Answer:

[tex]CI=\{2.5053,3.2147\}[/tex]

Step-by-step explanation:

Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],

[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]

Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147


Related Questions


PLEASE HELP!!

Oakdale Farms grew two different varieties of tomatoes last summer. When
the tomatoes were fully grown, they took a sample of each variety and
compared their weights.

Answers

Answer:

D

Step-by-step explanation:

it's because of simple logic

Can someone help me please

Answers

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

slope of 4/5, a width of 30…what is the height..?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

Slope of the graph can be expressed as :

[tex]\qquad \sf  \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = {4}{} \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 24 \: units[/tex]

So, the value of x is 24 units

18 people are trying out for a soccer team. How
1
I goalie,
many different ways could you choose
5-defenders, 6 midfielders, and 3 forwards?

Answers

Answer:

Using arrangements with repetitions, it is found that they can be grouped in 46,200 ways.

What is the arrangements formula?

Step-by-step explanation:

Find the length of the straight lines joining the following pairs of points (-1,3)and(5,2)

Answers

Answer:

es lo que es

Step-by-step explanation:

step by step =step mom

please help me with this problem i will give brainliest please :) <3

Answers

Answer:

I believe it would be 3,000,000 by the end of 12 years since nothing is being taken out or deposited but instead, she put a compound interest so the numbers would go up from what i gather

Step-by-step explanation:

Choose the function that represents the data in the table.
х
0
-3
1
-1
2
5
3
15
4
29
5
47
y
Oy - 3
0 y= 2* – 3
O y = 2x - 3
O y = 2x2 – 3

Answers

Answer:

Option (D): f(x) = 2x^2 – 3

Step-by-step explanation:

Math.

The function that represents the data in the table is y=2x²-3

What is a function?

A relation is a function if it has only One y-value for each x-value.

Let us check the function of the given data by plugging any ordered pair in the given functions

Let us take a point (1, -1) to check each function

(a) y=x/2-3

-1= 1/2-3

-1=-5/2

So y=x/2-3 is not the function

(b) y=2ˣ-3

-1=2-3

-1=-1

Now let us check for other point

5=4-3

5=1

This function is not satisfied for all points

(c) y=2x-3

-1=-1

For point (2, 5)

5=-1

This function is not satisfied for all points

(d) y=2x²-3

-1=2-3

-1=-1

Now 5=8-3

5=5

Hence, the function that represents the data in the table is y=2x²-3

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HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade
please only answer if you are, please

Answers

No I’m not I got to los lunas middle school in New Mexico

4.
Suppose events A and B are independent and P(A and B) is 0.2
Which statement could be true?
(1) P(A) = 0.4, P(B) = 0.3, P(A or B) = 0.5
(2) P(A) = 0.8, P(B) = 0.25
(3) P(A/B) = 0.2, P(B) = 0.2
(4) P(A) = 0.15, P(B) = 0.05

Answers

Answer: answer choice 2) P(A) = 0.8, P(B) = 0.25

Step-by-step explanation:

The True statement is  P(A) = 0.8, P(B) = 0.25.

The correct option is (B).

What is Conditional Probability?

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

1. 0.4 ·0.3≠ 0.2,

2. 0.8 · 0.25 = 0.2

3. P(A|B)= P(A)= 0.2

        0.2 ≠ 0.2 · 0.2

4. 0.2 ≠ 0.15 · 0.05

Hence. the only condition is satisfied is (B).

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Please help!!!you must use the desmos caculator

Answers

Part (a)

Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.

Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.

After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following

[tex]y_1 \sim mx_1 + b[/tex]

Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean [tex]y_1[/tex]

The ~ symbol is likely found in the upper left portion of your keyboard.

After typing that into the second input box, you should get what you see in the screenshot below.

The parameters your teacher wants are the m and b values.

Desmos is showing these values:

m = 0.125873b = -7.11916

These values are approximate. As the instructions state, do not round the values mentioned.

Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately

This is the regression line. It is the closest line to all of the points.

Answer: y = 0.125873x-7.11916

===========================================================

Part (b)

The year 2022 is 2022-1900 = 122 years after the year 1900.

This means we'll plug x = 122 into the regression equation to find the predicted value for y.

y = 0.125873x-7.11916

y = 0.125873*122-7.11916

y = 8.237346

I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346

That then rounds to 8.24

We predict in the year 2022, the minimum wage should be about $8.24

This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.

Answer: $8.24

Hello I really needs some help this is algebra

Answers

Answer:

x = 5

Step-by-step explanation:

5 - 3x = - 10

Subtract 5 from both sides:

5 - 5 - 3x = -10 - 5

-3x = -15

Divide -3 by both sides:

-3x/-3 = -15/-3

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer: x=5. Hope this helped!

Find the coordinates of the midpoint of the lines joining the following pairs of points:. 1. (3,-6) and (5,8). 2. (-4,-2) and (1,-3)​

Answers

Answer:

(4, 1)(-3/2, -5/2)

Step-by-step explanation:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

  M = (A +B)/2

__

1.

  M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)

The midpoint coordinates are (4, 1).

__

2.

  M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)

The midpoint coordinates are (-3/2, -5/2).

Which of the following conditions must be met in order to make a statistical inference about a population based on a
sample if the sample does not come from a normally distributed population?

Answers

The correct answer is C. n is greater than or equal to 30

x^2+y^2−4x+2y=b
The radius of the circle is 7 units. What is the value of b in the equation?

Answers

Answer:

  b = 44

Step-by-step explanation:

We can complete the square(s) to put the equation in standard form. Then we can find the value of b that makes the radius be 7 units.

__

  x^2 +y^2 -4x +2y = b . . . . . given

  (x^2 -4x) +(y^2 +2y) = b . . . . group by variable

  (x^2 -4x +4) +(y^2 +2y +1) = b + 4 + 1 . . . . complete the squares

  (x -2)^2 +(y +1)^2 = b +5 = 7^2 = 49 . . . . . write as squares, show radius

  b = 49 -5 = 44 . . . . subtract 5

The value of b to make the radius 7 is 44.

_____

The standard form of the equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . center (h, k), radius r

Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

Your answer would be 24 but then if you  round it to the nearest tenth the you would have 20

Step-by-step explanation:

i hope this helps

Help will give brainilist ✨✨✨

Answers

Answer:

The answer to the first question is

[tex]16.37[/tex]

The answer to the second question is D

Solve the following equation:-
2x(3+5)+6 x4​

Answers

Answer:

40

Step-by-step explanation:

Using BODMAS

[tex](2 \times (8)) + (6 \times 4)[/tex]

[tex]16 + 24 = 40[/tex]

Answer:

40

Step-by-step explanation:

Using PEMDAS

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Simplify terms in the parentheses.

2 × (3 + 5) + 6 × 42 × 8 + 6 × 4

Multiplying

2 × 8 + 6 × 416 + 24

Adding

16 + 2440

Please help with this as soon as possible. Assignment due tomorrow!!

Answers

1 - transversal is RS , angle is CORRESPONDING
2 - transversal is BA , angle is ALTERNATE INTERIOR
3 - transversal is RS , angle is CORRESPONDING
4 - transversal is TU , angle is ALTERNATE EXTERIOR
5 - transversal is TU , angle is ALTERNATE INTERIOR
6 - transversal is CD , angle is ALTERNATE EXTERIOR
7 - transversal is TU , angle is ALTERNATE EXTERIOR
8 - transversal is TU , angle is CORRESPONDING
9 - transversal is AB , angle is ALTERNATE INTERIOR
10 - transversal is CD , angle is ALTERNATE INTERIOR
11 - transversal is RS , angle is CORRESPONDING
12 - transversal is TU , angle is CORRESPONDING

help please

Based on a your normal distribution curve, 68% of a sample pack of M&M's would have
at LEAST how many orange M&M's out of a pack of 56 total M&M's

Answers

Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's

Data obtained from the questionTotal pack = 56Percentage = 68%Amount of M&M's =?

How to determine the amount of M&M's

The amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:

Amount = percentage × total

Amount of M&M's = 68% × 56

Amount of M&M's = 0.68 × 56

Amount of M&M's = 38

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(6ƒ² − 9ƒ + 10) − (− 2ƒ² − ƒ+3)

Answers

Answer:

Step-by-step explanation:

6f^2 - 9f + 10 + 2f^2 + f - 3

8f^2 - 8f + 7

Given ,
[tex] (6f^{2}-9f+10)-(-2f^{2}-f+3) [/tex]

=> [tex] 6f^{2}-9f+10+2f^{2}+f-3[/tex]

=> [tex] 8f^{2}-8f+7[/tex] is the answer

please help picture below

Answers

Answer:

720

Step-by-step explanation:

height is 22

right triangle sides are

5 12 and 13

Answer:

B) 720 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

Base: 12 cmHeight: 5 cmLength: 22 cmPerimeter of Base: (5 + 12 + 13) = 30 cm

=======================================

Solve for area: 12 × 5 + 22 × (30) = 720 cm²

which coordinate is a solution to the inequality​

Answers

Answer:

C) (3 , 2)

Step-by-step explanation:

y is greater than 2x - 7.

Note the point values (x , y). y, in this case, must be greater than x after it is simplified.

~

(3 , -2)

Plug in 3 for x, and -2 for y:

(-2) > 2(3) - 7

-2 > 6 - 7

-2 > -1

(False).

~

(4 , 1)

Plug in 4 for x, and 1 for y:

(1) > 2(4) - 7

1 > 8 - 7

1 > 1

(False).

~

(3 , 2)

Plug in 3 for x, and 2 for y:

(2) > 2(3) - 7

(2) > 6 - 7

2 > 1

(True).

~

C) (3 , 2) is your answer.

~

Solve for x in the equation

Answers

Answer:

x = -1 + ⟌17

Step-by-step explanation:

You want to solve the equation for x by finding a, b, and c of the quadratic formula

Solve: (6 • 6 + (-3)) ÷ 11
please

Answers

Answer:

The correct answer is 3.

Step-by-step explanation:

I'm assuming you need this now so I won't explain it.

Hope this helps:) Goodluck!

Please Help I will mark brainpower. Please:

a) show how pip can complete the circuit by adding less than 120cm of track

b) show how pip can complete the circuit by adding more than 270cm of track

c) explain why, no matter how the circuit is completed, pip must place an even number of additional curved plates

d) explain why, no matter how the circuit is completed, pip must place an odd number of additional straight plates

Answers

In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. The length of the total plates to be added is 100cm. Refer to the use of polygons.

How did we arrive at 100cm above?

Step 1

In order to complete the circuit, the curved plate on the topmost right side of the circuit must be moved downwards to the end. This is already existing on the circuit so it is not part of the plate to be added.

Step 2

Using the plate with the straight line,  the other spaces which are 5 in number will be completed. The total length of plates used will amount to 100cm.

Because the plate is equal in length and height, the total number of plates used is:

20 * 4 = 100cm.

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What’s 5 square root 7n

Answers

Answer:

If you are asking what 5[tex]\sqrt{7n}[/tex] is without the radical, it equals to 175n.

Step-by-step explanation:

You square the whole equation first.

5^2 = 25 and [tex]\sqrt{7n}[/tex]^2 =7n

Then you multiply it together.

25 * 7n

175n

write the equation of the line that passes through (-3,6) with a slope of -2

Answers

                  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

       What is the equation of the line that passes through (-3, 6) and has a slope of -2?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

     

First, we need to write the equation of the line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 6, m with -2, and x1 with -3:-

[tex]\sf{y-6=-2(x-(-3)}[/tex]

On simplification,

[tex]\sf{y-6=-2(x+3)}[/tex]

On further simplification,

[tex]\sf{y-6=-2x-6}[/tex]

Add 6 on both sides:-

[tex]\it{y=-2x}[/tex]

Good luck with your studies.

          - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

3 to the third power minus 4 to the second power

Answers

Answer:

3^3-4^2=11

Step-by-step explanation:

3^3=27

4^2=16

27-16=11

mrs.bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil

Answers

Answer:

42 with 4 extra ounces

Step-by-step explanation:

since we know we can't do 256/6

256, when downed, is 252

252/6 = 42

the most she can make is 42 with 4 more ounces leftover

Evaluate f(-2): f(x)=3/2x-4​

Answers

Answer:

f(- 2) = - 7

Step-by-step explanation:

substitute x = - 2 into f(x)

f(- 2) = [tex]\frac{3}{2}[/tex] × - 2 - 4 = - 3 - 4 = - 7

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