Mathematics College

Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally distributed.
picture of question below

Construct The Indicated Confidence Interval For The Population Mean Using The T-distribution. Assume

Answers

Answer 1

Using the t-distribution, it is found that the confidence interval is (14.2, 14.8).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 18 - 1 = 17 df, is t = 2.1098.

The other parameters are given by:

[tex]\overline{x} = 14.5, s = 0.68, n = 18[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 14.5 - 2.1098\frac{0.68}{\sqrt{18}} = 14.2[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 14.5 + 2.1098\frac{0.68}{\sqrt{18}} = 14.8[/tex]

The confidence interval is (14.2, 14.8).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Related Questions

How many square yards are there in a floor which is 9 feet long by 21 feet wide?

Answers

Answer:

Step-by-step explanation:

Length of floor=9ft=3 yard

Breadth of floor=21ft=7 yard

Area of floor=lb=3×7=21yard²

look at the number line below what point is marked on the number line​

Answers

Answer:

-2.5

Step-by-step explanation:

The point is between -2 & -3

The product of two rational numbers is 6.If one of them is 8,find the other number.
With steps also please.

Answers

Answer:

0.75

Step-by-step explanation:

The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.

So, 0.75 * 8 = 6

The other number is 0.75

Write down the corresponding side and angles from given congruent triangles.

Answers

Answer:

Hope the pictures will help you...........

Find the surface area of the prism.

Answers

[tex]s \: a \: = (2 \times \frac{1}{2} \times 4 \times 6) + (3 \times 2 \times 5) \\ [/tex]

[tex]s \: a \: = 24 + 30[/tex]

[tex]s \: a \: = 54 \: \: {yd}^{2} [/tex]

In 2014, the average price of a new car was $37,600. For the period shown, new-car prices increased by approximately $1250 per year. If this trend continues, how many years after 2014 will the price of a new car average $46,350? In which year will this occur?

Answers

The year in which the average price of a new car would average $46,350 is 2021.

In which year would the price of a new car average $46,350?

The price of a new car increases by $1250 per year. This is known as appreciation. The value of a new car can be represented with this equation:

Value of new car = value of the car now + (rate of increase x number of years)

Number of years = value of the new car - value of the car now) / rate of increase

(46350 - 37600) / 1250 = 7 years

7 + 2014 = 2021

To learn more about appreciation, please check: https://brainly.com/question/26847097

#SPJ1

Which numbers are perfect squares? Check all that apply.
1
2
16
18
32
44
94
100

Answers

Answer:

1, 16, 100

Step-by-step explanation:

Answer:

other persons right i took the test and got it right so 1, 16, and, 100

Step-by-step explanation:

Pls help me get this. Right

Answers

Answer:

26 units

Step-by-step explanation:

so the horizontal distance between the two points is 24 units while the vertical distance is 10 units.

hence, we can use the pythagorean theorem to find the length of the diagonal.

the answer is equal to sqrt( 24^2 +10^2)

the answer is 26 units

also you should always remember that the diagonal is always greater in length than both the vertical and horizontal sides.

make sure to ask if you need any further guidance :)

The answer is C
26 units

What quantity of parsley would you need to make a half recipe?​

Answers

Answer:

7/16 of parsley

Step-by-step explanation:

I will mark brainlest

Answers

Answer:

option c

Step-by-step explanation:

-2,-1/4,1/4,0.5,4

I hope it helps you


The length and breadth of a rectangular piece of paper are 18 cm and 15 cm respectively. By how much should be length be reduced keeping breadth constant to make area equal to 134 cm².....​

Answers

Answer:

Area of a rectangle = length x breadth

Given:

area = 134 cm²breadth = 15 cm

⇒ 134 cm² = length x 15cm

⇒ length = 134 ÷ 15

               = 8.93333333... cm

Reduction in length = original length - new length

                                 = 18 cm - 8.93333333... cm

                                 = 9.07 cm (nearest hundredth)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS IF YOU DO THEN YOU GET REPORTED AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

BC=48

Step-by-step explanation:

BC=EF.

so x+37=4x+4

Move things over etc etc:

37=3x+4

33=3x

x=11

BC= x+37

If x=11 then BC= 11+37.

Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.


Based on the results above, predict the number of times a 3 would be rolled it Stacy performs the experiment a total of 480 times

A. 63


B. 102


C. 87


D 141

Answers

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

is answer letter D.141

NOPQ is a rhombus. Given ON=110 and OQ=176. find each measure

Answers

Answer:

I cannot see the attachment

Step-by-step explanation:

A mountain road drops 5.2 m for every 22.5 m of the road. Calculate the angle at which the road is inclined to the horizontal.​

Answers

Answer:

13°

Step-by-step explanation:

sin(Ф)= opposite/ hypothenuse

sin(Ф) =  5.2/22.5

Ф= sin∧-1 (5.2/22.5)

Ф= 13.36°

Find the reciprocal of [tex]$\frac{1}{-2} \cdot \left(-\frac{1}{3}\right) \cdot \frac{1}{-4} \cdot \left( -\frac{1}{5} \right)$.[/tex]

Answers

Answer:

120

Step-by-step explanation:

Lets take it step by step!

Step 1 : first mutiply -1/2 * -1/3

-1/2 * -1/3 = 1/6

(remember to mutiply fractions we have to mutiply there denominator and numerator together)

Step 2 : then move on and multiply 1/6 * -1/4

1/6 * -1/4 =

-1/24

Step 3 :  Next we have to go and multiply -1/24 by -1/5

-1/24 * -1/5 =

1/120

Step 4 :  Finally we switch the numerator and denominator to find its reciprocal which is :

120!

What happens to the mode of the data set shown below if the number 8 is added to the data set?

12,8,13,9,10,10,15,14,13,6,40,11,15,15,8,7

A. There is no mode.
B. The mode will not change.
C. There will be two modes.
D. The mode increases by 6.
PLEASE HURRY

Answers

Answer:

d the mode increase by 8

Step-by-step explanation:

mode is affected due to change in origin by same constant value

Answer:

C

Step-by-step explanation:

There will be 2 modes because 15 and 8 would both repeat 3 times.

The distance around earth is 24,887 miles. How many kilometers is the distance around the earth.

Answers

Answer:

40051.744

Step-by-step explanation:

because im smart

[tex]1 \: mile = 1.60934 \: kilometers[/tex]

[tex]24887 \: miles = x \: kilometers[/tex]

[tex]x = 24887 \times 1.6934 [/tex]

[tex]x = 40 \: 051.65 \: kilometers[/tex]

Brent plays three sports: basketball, baseball, and soccer. He calculated the mean absolute deviation of the points he scored in each season.

basketball: mean absolute deviation of 4.6

baseball: mean absolute deviation of 3.5

soccer: mean absolute deviation of 1.2

In which sport were his scores the most spread out?


baseball

soccer

basketball

Answers

Answer:

basketball

I hope this is useful

Answer: (C) Basketball

Step-by-step explanation: I took the test and that is the answer.

PLEASE BE QUICK
Which point represents the fraction 3/6

A B C D

Answers

Answer:

C

Step-by-step explanation:

Answer: C

Out of 6 spaces on number line, C is the 3rd one

The area of a rectangle is 27x2+27x-30 square feet. The length of the rectangle is 9x– 6 feet. What is the width of the rectangle?

Answers

Divide the polynomials to get the 3x + 5

The top and bottom lines are parallel. What is the value of x?
35
+
80° IX
O A. 45
B. 105
OC. 100
OD. 65

Answers

Answer:

65

Step-by-step explanation:

Will give points please help

Answers

Answer:

Part A

Step-by-step explanation:

Did test for flvs, brainliest please ;)

10 brainlies!!!!! help with this question

Answers

Answer:

ok

Step-by-step explanation:

what is (1/8) to the power of 8

Answers

Answer:

5.96 when rounded to the nearest hundredth

Step-by-step explanation:

Easy function or not

Answers

Answer:

Problem 9: No

Problem 10: Yes

Step-by-step explanation:

Hello!

Problem 9:

This is NOT a function because one x-value has only one unique y-value. -2 is seen twice and the outputs, y, are given as 6 and 0.5. To be a function, each input has its own unique output. Two different inputs can have the same output.

Problem 10:

This IS a function, all inputs have unique outputs, and no repeating inputs are shown.

Terms:

x - values are also known as input, abscicca

y - values are also known as output, ordinate.

Solve this for c: 2x + y = 10,
4x + 2y = c ​

Answers

x = 2?? and y = 6
4x + 2y = 20 so c = 20??

During a basketball game a player makes 12 of 18 free throws attempted. Write the ratio as a fraction reduced to lowest terms

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

12 out of 18 free throws is also equal to the fraction [tex]\frac{12}{18}[/tex]. To simplify this fraction, we have to find out the greatest common factor (GCF) of 12 and 18. It turns out that the GCF of 12 and 18 is 6. So, we have to divide the fraction by 6 to reduce it to its lowest terms.

[tex]\frac{12}{18} /\frac{6}{6} =\frac{2}{3}[/tex]

I hope this helps! Have a lovely day!! :)

Write an equation of the
line that passes through
the given points (-3,-1)
(2, 2)

Answers

Answer:

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]

Step-by-step explanation:

First, find the slope:

m = (change in y) / (change in x) = rise / run

m = (2 - (-1)) / (2 - (-3)) = (2 + 1) / (2 + 3) = 3/5

Then, write the equation of the line in point-slope form:

y - b = m(x - a)  where  (a, b) is a point on the line

y - 2 = (3/5)(x - 2)

Finally, solve for y:

[tex]y = \dfrac{3}{5}(x - 2) + 2[/tex]

[tex]y = \dfrac{3}{5}x - \dfrac{6}{5} + 2[/tex]

[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]

Find the area of the highlighted cubes.

Answers

Answer:

15 cm

Step-by-step explanation:

area stands for amount of space in certain spot therefore the answer would be 15

BRAINLIST PLEASE!

^^^^^ what that person said it’s 100% true
Other Questions
Define the word Glacier Particle A and particle B, each of mass M, move along the x-axis exerting a force on each other. The potential energy of the system of two particles assosicated with the force is given by the equation U=G/r 2, where r is the distance between the two particles and G is a positive constant Stowe became more exposed to slavery when1.) her father helped free a slave and take him to Canada2.) she discovered her husband's family owned slaves3.) she moved to Cincinnati, on the border of Kentucky4.) she did a tour of Alabama with her son Which type or types of RNA contain a copy of the instructions that a gene carries Question 1 of 10A command economy is best described as an economy that:A. gives people jobs based on their family history and role in thecommunityB. gives businesses complete freedom to produce and sell what theywanaC. gives both businesses and the government a role in economicdecisions.D. gives the government complete control over production andprices. Which of the following choices is the y-intercept of the equation -3x 2y = 10? Can someone help me please? what is death penalty should be brought back speech Can someone tell me why this keeps exiting no matter what move and how I can fix it I honestly hate this class... you guys can have 100 points#Andrew#IT140#ModuleSixMilestonerooms = {'Manor Entrance': {'South': 'Foyer'}, 'Foyer': {'North': 'Manor Entrance', 'West': 'Cellar'}, 'Cellar': {'East': 'Foyer'}, 'Exit': {'Exit': 'Exit'}} # The dictionary links a room to other rooms.currentRoom = 'Manor Entrance' # Start the player in the Manor Entrance.print('Move commands: North, South, East, West, Exit.')print(' ------------------- ')print('You are in the Manor Entrance.')print('Enter your move or exit the game. -> ')# User input a command to either move to another room or exit the game.# If the player enters "exit", the game should move them to the "exit" room.moveCommands = ['North', 'South, ''East', 'West', 'Exit']command = input()# Gameplay loop for moving to different rooms.if currentRoom == rooms['Manor Entrance']: if command == 'Exit': # If the player enters "exit", the game should move them to the "exit" room. print('The virus will destroy the world now that you have quit.') elif command == 'South': print('You entered the Foyer!') print(currentRoom[1]) elif command A force of 4,500 N acts on a car. Theacceleration of the car is 3 m/s/s. Whatis the mass of the car? Show your workbelow. why do you think gender-based violence tends to affect people in marginalized communities? Choose the form of the verb that best fits in the sentence.He seems to forget that there___things to be done before he can graduate.A) isB) are anticipatory socialization of LSD Which was a response to the terrorist attack against the united states on september 11, 2001?. The belief of "divine right" is which of the following?a) only priest and religious individuals have the authority to take over the government b) the rulers authority to rule is a god given rightc) the nations fate lies in choosing gods wayd) the peoples authority to choose a leader is a god given right The table shows the prices of two types of juice. How much doeseach type of juice cost per gallon? There are 4 quarts in a gallon.Juice Price VolumeOrange $3.25 0.5 gallonPeach $4.50 1.5 quarts What makes fingerprints individual? How do scientists match a fingerprint to a specific person? Help!! I need to pass this class by the end of this week!!!! A young child shown a nine-inch round bowl and a six-inch round bowl containing equal amounts of popcorn says he is certain the smaller bowl has more popcorn than the larger bowl. This child has yet to acquire what jean piaget called:. 3. How did Castro's revolution affect Florida?