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


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)

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

Answers

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

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

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

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

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

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.

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:

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

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

Answers

Answer:

7/16 of parsley

Step-by-step explanation:

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!! :)

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

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]

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.

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

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

Answers

Answer:

I cannot see the attachment

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:

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°

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]

Will give points please help

Answers

Answer:

Part A

Step-by-step explanation:

Did test for flvs, brainliest please ;)

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:

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

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.

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]

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!

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.

10 brainlies!!!!! help with this question

Answers

Answer:

ok

Step-by-step explanation:

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

Answers

Answer:

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

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

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

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