Suppose that a committee is studying whether there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours. Construct a 95% confidence interval for the population mean time wasted. Which distribution should you use for this problem

Answers

Answer 1

Answer:

The t-distribution is used, as we have the standard deviation of the sample.

The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.

Step-by-step explanation:

We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 81 - 1 = 80

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.

The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.

The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.


Related Questions

Please help thank you!!!!!!

Answers

H : because each square contains 100 blocks so the two boxes would be 200 together and as you see one square has all blocks shaded ( 100% ) and then has another 100 block with only 40% shaded in 100% + 40% = 140%

URGENT PLZ HELP

Solve for x. Assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

Write 5x – 4y = 10 in slope-intercept form

Answers

y=5/4x + 5/2 hope this helped

siny dy/dx=cosy (1-xcosy)

Answers

Step-by-step explanation:

hope it helpe...............

If you know how to do this please help me.

Answers

Answer:

Undefined or no values (assuming no negative zero)

Step-by-step explanation:

The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.

Norris bought a television for $899. If the tax is 5.5%, how much sales tax will he pay?

Answers

Answer:

$49.445 or $49.5 if they round

Step-by-step explanation:

Answer:

$948.45

Step-by-step explanation:

■ Sales tax: $49.45

■ Cost/Price before ST: $899.00

■ Total Cost/Price including ST: $948.45

The probability distribution for a
random variable x is given in the table.
-10
-5
0
5
10
15
20
Probability
.20
.15
.05
.1
.25
.1
.15
Find the probability that x = -10

Answers

Answer:

.20

Step-by-step explanation:

According to what are written in the table the probability for x=-10 is .20

The probability distribution  at x= -10 is 0.20.

What is Probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

Given:

We have table as,

x                  -10    -5      0      5      10    15     20

Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15

So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.

Learn more about Probability distribution here:

https://brainly.com/question/14210034

#SPJ2

Create a probability model for the outcome of flipping a coin 3 times. what is the probability of landing on heads at least once
a. 2/3
b. 1/2
c. 7/8
d. 1/8

Answers

Answer:

it is A.2/3

Step-by-step explanation:

Find the value of k that makes the function continuous

Answers

Answer:

13/3

OR

4.33333

Step-by-step explanation:

For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.

To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction

2x^2 - 3 -15

2x^2 - 18

2* (x^2 - 9)

2 * (x + 3) (x - 3)

this is perfect because this cancels out the x - 3 on the bottom

so the function become f(x) = 2 * (x + 3)

When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12

Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.

k*(3) - 1 = 12

k*3 = 13

k = 13/3

k = 4.33

It costs $6 per hour for a park to water the grass. How much will it cost to water the grass for
7/3
hours?

Answers

$43.8, do 7.3 (if that’s how long it was) times $6, giving you 43.8

Answer:

I think the answer is $14 hope this helps!

Step-by-step explanation:

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS

Answers

Answer:40 inch
Explanation: the radius is half of the circumference therefore the answer is 40 inches considering the radius is 20 inches.

Calculate the SQRT485 Express answer to nearest hundredth.

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 22.02

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Rewrite the number in Standard form
6 x 10^8

Answers

Answer:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.

Answer:

600000000

Step-by-step explanation:

10^8=100000000

6×100000000=600000000

hope this helps

what is the value of x when h(x) x-3

Answers

Answer:

-1

Step-by-step explanation:

I did it in my review

Answer:
x= -3/h

hope this helps :)

Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.

Answers

Answer:

Step-by-step explanation:

30

5 members or 20% of the math league did not come to the meet. how many total members are there

Answers

5 = (20%) x (total)

5 = (0.20) x (total)

Divide each side by (0.20):

Total = (5 / 0.20)

Total = 25

Look at the picture below and answer the question that is being asked

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because they are telling you that the 7th graders were randomly chosen out of everyone who rides in a car to school to be fractioned out.

PLS HELP ASAP IM RUNNING OUT OF POINTS PLSS

Answers

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°

In ΔVWX, x = 9.1 inches, w = 5.4 inches and ∠W=161°. Find all possible values of ∠X, to the nearest 10th of a degree

Answers

Answer:

NO POSSIBLE TRIANGLES

Step-by-step explanation:

Answer:

no possible triangles

Step-by-step explanation:

Please answer the questions attached below

Answers

Answer:

Step-by-step explanation:

The parallelogram is two congruent triangles. Area of blue triangle is ½·2·2 = 2 units²

Area of parallelogram = 4 units²

:::::

area of blue parallelogram = 4×9 = 36 units²

:::::

area of green parallelogram = 3×5 = 15 units²

In a local middle school, there are 20 Science teachers, 30 Social
Studies teachers and 600 students. What is the ratio between the number
of Science teachers and the number of students for this school? *
1:12.
1:30
1:35
1:40

Answers

Answer:

no of science teachers is 20

no of students is 600

ratio=20/600

=20:600

=1:30

pls give me brainliest

Help rn ahhhh please

Answers

Answer:

117π or 367.56634047

Step-by-step explanation:

Volume = π × r² × h          (r=radius and h=height)

Volume = π × 4² × 13

Volume = π × 9 × 13

Volume = π × 117

Volume = 117π

5 1/3 + (2 2/3 + 1 1/3)

Answers

answer: 9 and 1/3!! brainliest are appreciated

A scientist measured a museum specimen. She recorded the measurement as 75 centimeters. What could the scientist have been measuring? length of a dinosaur bone
mass of a dinosaur bone
length of a gem
mass of a gem​

Answers

Answer:

75cm is the measurment

Step-by-step explanation:

It would have had to have been the lenght of the gem because 75cm or 75 centimeters is a measurment not the mass of something. The mass is the amount of matter in an object.

Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two z intercepts of the parabola and write them as a list, separated by
commas:
It is OK to round your value(s) to to two decimal places.

Answers

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

It’s 55, you have it right mean is all numbers added together

Answer:11

Step-by-step explanation:smart

Which answers describe the shape below? Check all that apply.
O A. Trapezoid
O B. Parallelogram
O c. Square
D. Quadrilateral
E. Rhombus
F. Rectangle

Answers

Answer:

Square, Quadrilateral, Rhombus, Rectangle

Step-by-step explanation:

30. President Ronald Reagan earned a yearly salary of 2 x 10^5 dollars as
president. He served 8 years as president. What was the total amount of
money Ronald Reagan earned as president?
A 1.6 x 106 dollars
B. 2.0 x 106 dollars
c. 1.6 x 107 dollars
D. 2.0 x 107 dollars

Answers

Answer:

a) 1.6 x 10 ^6 dollars.

Step-by-step explanation:

since President Ronald Reagan served for 8 years. So the total amount of money that he earned is 2 x 10^5 x 8 = 16 x 10 ^ 5 = 1.6 x 10^6 dollars.

Washe
car alone, ustin takes
45 hours
had
takes tos hours.
How
donde long does the car
by
does it take Justin's
hiods?
Washing car alone it takes Justin 4.5 hours. If his dad helps him it takes 1.5 hours. His long does it take Justin’s dad to wash the car by himself?

Answers

Answer:

it takes his dad 3 hours

Step-by-step explanation:

4.5-1.5 =3

PLS HELP I WILL GIVE BRAINLYEST

Answers

Answer:

hey

Step-by-step explanation:

pls help me then i help u

Other Questions
Meggie starts with 100$ in her account.she wants to deposit 5$ per week . write an equation in slope intercept form to represent this situation How much times does it take to put 0.3 into 5.7 whoever answers first and the most accurate gets brainliest Identify two functions of international law in conflict situations. Please help, this is due soon! If Enough Thermal energy And change of state, write each sentence.Write (solid), (liquid), or (gas) to complete each sentenceIf enough Thermal energy is added to a liquid, it will change to a___________Please explain in simple terms.Spam = removeGoogling it = Remove Carlos designs a simulation to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick. Carlos uses 25 blocks and labels each one with a 1 or a 0. How many of each block should he use to represent this situation? Explain. NEED ANSWER ASAP WILL GIVE BRAINLIEST What is the theme for the short film do geese see god created by Amazon Theater if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME :( Which statement describes the viewpoint of Creon in Antigone? A Creon likes to use cruel punishments for their own sake.B Creon believes in using any means necessary to secure peace in his kingdom.C Creon reveres the input of his advisors, both old and young.D Creon has never liked Antigone and is happy when she dies. .Characteristics of a Group of ElementsDo not conduct electricity Mostly gas, but brittle when solidHas 7 valence electrons.Which of these elements is in this groun? Find the output, y, when the input, c, is 6. HELP ASAP Mr. Bucci goes to the grocery store and purchases17 bags of raisins and a $2.97 jar of peanut butter.His total cost was $34.76. What was the cost for abag of raisins?Help the measures of the angles of a triangle are shown in the figure below. solve for x *ill mark brainliest* A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The email message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e? 1. Explain where they bury remains at the Forensic Osteological Research Center and why In VWX, x = 9.1 inches, w = 5.4 inches and W=161. Find all possible values of X, to the nearest 10th of a degree Parler de ses projets - l'expression de butQuels sont vos projets scolaires et/ou professionnels?N'oubliez pas d'utiliser le conditionnel, le futur et surtout l'expression de but (suivie du subjonctif) 5-6 lignes What makes the Sistine Chapels ceiling so famous? Of the three Intermolecular forces, the type with the largest dissociation energy is ________. A. Dipole-dipole interactions B. Dispersion forces C. Hydrogen bonds The mountains in the north of the Indian subcontinent hindered, but did not prevent, foreign invasions. Which statement BEST explains why foreign invasions of ancient India succeeded? O A Japanese invaders were forced to attack India by sea. OB Invaders from southeast Asia could come through the foothills and the Ganges River Valley. C The mountains were not high enough to be a real deterrent. D. Invaders were able to reach India through passes in the western section of the mountains.