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

which inequality is true p=3.4

Answers

uhhh...p=3.4 is already simplified.

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hope it helps???

The cost of 3 DVD's and 4 CD's is £62.00. The cost of 4 DVD's and 3 CD's is £64.00. Find the cost of each.
Help!!!

Answers

Answer:

the cost of each is  £10 and  £8 respectively

Step-by-step explanation:

Let us assume the cost of per DVD be x

And the cost of per CD be y

Now as per the question

The following equations should be made

3x + 4y = £62.00

4x + 3y = £64.00

Now multiply by 4 in equation 1 and 3 in equation 2

12x + 16y = £248

12x + 9y = £192

7y =  £56

y =  £8

Now put the value of y in any of the above equation

3x + 4( £8) =  £62

3x +  £32 =  £62

3x = 30

x =  £10

Hence, the cost of each is  £10 and  £8 respectively

9 and 11 need help
Mark brainlist

Answers

I will do 9 only. You can do 11.

Question 9

sin(60) = x/8

sin(60)(8) = x

4•sqrt{3} = x

x^2 + y^2 = 8^2

(4•sqrt{3})^2 + y^2 = 64

16(3) + y^2 = 64

48 + y^2 = 64

y^2 = 64 - 48

y^2 = 16

sqrt{y^2} = sqrt{16}

y = 4

Do 11 the same way.

given that the circumference of an orange us 50.24mm find the volume of the orange

Answers

Answer: 803mm

Step-by-step explanation:

Write the slope intercept form of the equation of the line. x + 8y = 24​

Answers

The answer is y= -1/8x+3

Section B
Solve the word problems.
1
During a Science workshop, 685 people attended it on the first day
On the second day, there were 3 times as many people as on the
(a) How many people attended the workshop on the second do
(b) Each person had to pay $8 to attend the workshop
What was the total amount collected for the two days?
685

Answers

B each person had to pay 8

what is the slope of the line.

Answers

Answer:

m=3/2 or m=1.5

Step-by-step explanation:

slope formula:

m=(y1-y2)/(x1-x2)

in order to get this we need two points such as (3,0) and (1,-3) which are points on this line. So:

m=(0-(-3))/(3-1)

m=3/2 or m=1.5

PLEASE HELP ME !!!!!

Answers

Answer:

Step-by-step explanation:

1.values of x at y=0 are 1

2.5

3.

(3,-4)

4.

it is a minimum.

5.

axis of symmetry is x=3

Whoever responds first will get marked Best!
Elizabeth's family pool is 25 feet long, 15 feet wide and 10 feet deep. The pool has to be filled. What is the volume of water they should put in the pool?
Part A Explain the steps you would take to find the volume of the pool.

Part B. What is the volume of the water in the pool?

a. 3750 ft
B.50 ft
c. 3375 ft
d. 3755 ft

Answers

Answer:

Part A:

I would multiply the length, width, and depth of the pool to find the volume of it. That would be how much water can fit inside. 25 ft x 15 ft x 10 ft = 3750 ft

Part B:

a. 3750 ft

What is the area of a triangle when the base = 4cm and the height = 6cm? (use your resources ;-) )
Group of answer choices
a.6 square centimeters

b./12 square centimeters

c.18 square centimeters

d.24 square centimeters

Answers

Answer is in the file below

tinyurl.com/wpazsebu

“What is the gradient of the graph shown?”
someone please help I don’t understand how to do this.

Answers

Answer:

Step-by-step explanation:

It is easy to see that (-2, 0) and (0, -4) are points on the line.

gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) =  -2

5th grade math. correct answer will be marked brainliest

Answers

Answer:

8 1/12 boxes

Step-by-step explanation:

Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.

Help shefeejhrhrhhtuy

Answers

Answer:

c. 80,360

Step-by-step explanation: multiply the number of cases they make each day by the amount of pastries each case contains

Please help me and happy april fools day! B)

Answers

Answer:

A,C,D,F

Step-by-step explanation:

Please help me with this

Answers

Angle c is equal to 34 degrees. Explanation: if a=73 and b is the same as a. 73+73=146, the sum of the interior angles of a triangle is 180 degrees so 180-146= 34 degrees. Angle c is 34 degrees.

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

Answers

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

SOMEBODY HELP ME ASAP PLSSSS ​

Answers

Answer:

A

Step-by-step explanation:

When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.

3[tex]\sqrt{5}[/tex] is approximately 6.71.

6[tex]\frac{1}{4}[/tex] is 6.25

6.55 is, well 6.55.

From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.

The Total cost to rent 5 chairs and 3 tables is $31 dollars. What is the cost to rent each chair and each table? No links please

Answers

Answer:

b

Step-by-step explanation:

please help with this algebra question

Answers

Answer:

i think its

[tex]P(x) = i ^{3}[/tex]

Step-by-step explanation:

log8(216)+[log(42)_log(6)]÷log(49)​

Answers

Answer:

3 log (3) + 1/2

Step-by-step explanation:

log8(216) + [log(42) - log(6)] ÷ log(49)​ =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2)  / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2

help me pleaseeeee !

Answers

Answer:

81 Degrees

Step-by-step explanation:

The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81

So the answer is 81 degrees.

Samantha wants to move into an apartment when she begins school in the fall. Right now she
has a job where she makes $250 a week working 20 hours and will be able to keep this job once
she begins school. Her parents have decided to put $500 a month in for extras that she might
need once she begins school. Although Samantha is very excited about moving into an
apartment, she wants your advice on where to begin preparing for her move. She wants to put
together a budget but has no idea where to begin.
Explain to Samantha how to set up her budget.
a
b. Once Samantha has a budget, what should she consider when determining if moving
out when she is beginning school is a good idea or not. Give specific reasons why this
might be a good or bad idea.

Answers

Answer:

she should set up a budget on how much she makes

Step-by-step explanation:

I love turtles and animals

what is x in 5x - ((2x-1)÷2) = 5​

Answers

Answer:

5x - ((2x-1)÷2) = 5-----(1)

(1) multiply by 2;

2 *(5x - ((2x-1)÷2) = 5)

10x - (2x-1) = 10

10x - 2x + 1  = 10

8x + 1 =10

8x = 10-1

x=9 /8

Step-by-step explanation:

Answer:

x = 9/8

Step-by-step explanation:

5x - ((2x - 1) ÷ 2) = 5​

2 × (5x - ((2x - 1) ÷ 2) = 5

10x - (2x-1) = 10

10x - 2x + 1  = 10

8x + 1 = 10

8x + 1 - 1 = 10 - 1

8x = 10 - 1

8x = 9

8x ÷ 8 = 9 ÷ 8

x = 9 ÷ 8

x = 9/8 or 1 and 1/8

If a pizza pie had
a diameter of 12
inches, what
would be its
circumference?

Answers

circumference = π x d
= π x 12
= 37.699
Rounded off is 37.70

Answer:

37.7 inches

Step-by-step explanation:

Formula of circumference:

[tex]2\pi r[/tex]

r = radius

In the current case,

radius is 6 inches

Hence,

circumference=

[tex]2*\pi *6\\= 12\pi\\= 37.6991118431[/tex]

≅ 37.7 inches

Feel free to mark it as brainliest

A dress is on sale for 35\% off of the regular price.

If d represents the regular price of the dress, which expression represents the sale price of the dress?


A.
0.35d

B.
0.65d

C.
1.35d

D.
1.65d

PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.

The sale price of the dress is $
.

Answers

Answer:

Expression that represents the sale price of the wedding dress is  

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w  

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35

s = 0.65

s= 0.65

Thus expression that represents the sale price of the wedding dress is

s=0.56

The large rectangle below represents one whole.

What percent is represented by the shaded area????

Answers

40% is shaded :))))))

Answer:

40%

Step-by-step explanation:

Because there are 5 rectangle total, we can dive 100% into 5 parts.

Each part is then 20%, there are 2 shaded rectangles thus the answer is 40%.

factorise x^{2} +2x-24[/tex]

Answers

Answer:

(x + 6)(x - 4)

Step-by-step explanation:

x² + 2x - 24

(x + 6)(x - 4)

-4 and +6 multiply to 24 and add to +2.

How many cannonballs are there in the eighth figure

Answers

Answer:

36

Step-by-step explanation:

Surface area and volume

Answers

triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144

cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210

When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is "the drug is unsafe." What is the Type II Error? ( Select the one, correct letter option below) :

Answers

Answer:

Not to conclude that the drug is safe, when, in fact, it is safe.

Step-by-step explanation:

A type ii error is an error that occurs in a hypothesis testing when a person goes ahead to accept a null hypothesis when it is actually false and should be rejected.

To continue, here are the hypothesis:

H0: the drug is unsafe

H1: drug is safe.

A type ii error was committed here because H0, which is the null was accepted and it was concluded that the drug was unsafe, When in fact it should have been rejected. The conclusion should have been that the drug was safe.

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