A random sample of 10 employees of a company was selected to estimate the mean one-way commute time for all employees at the company. The mean and standard deviation of the sample were 38 minutes and 6 minutes, respectively. Assuming all conditions for inference are met.

Required:
What is the margin of error, in minutes, for a 95 percent confidence interval for the population mean one-way commute time?

Answers

Answer 1

Answer:

The margin of error is of 4.22 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is 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 = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

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

We have that [tex]s = 6, n = 10[/tex]. So

[tex]M = T\frac{s}{\sqrt{n}} = 2.2622\frac{6}{\sqrt{10}} = 4.22[/tex]

The margin of error is of 4.22 minutes.


Related Questions


A turtle can walk 2/24 of a kilometer in an hour. The turtie is 2/10 of a kilometer away
from a pond. At this speed, how long will it take the turtle to reach the pond?
2 2/5hours
1 3/5hours
2 hours
3 1/5hours

Answers

should be A. 2 2/5 hours

Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m

Answers

9514 1404 393

Answer:

  B.  9 cm

Step-by-step explanation:

The number of face masks Ray can make with 20 m of cord is ...

  (20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks

To make one more mask, he will need to buy an additional amount of ...

  (196 -195.12195)×(10.25 cm) ≈ 9.00 cm

Ray would need to add 9 cm of cord to his order.

Make r the subject of x= e + r/d

Answers

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)

Answers

Answer:

0.02degrees

Step-by-step explanation:

Given the following

Length of the river (adjacent) = 1352km = 1352000m

Height of the source (opposite) = 453m

Required

angle of elevation theta

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan theta = 453/1352000

tan theta = 0.0003351

theta = arctan(0.0003351)

theta = 0.02 degrees

Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth

Here is my question it is worth 15 points!

Answers

Answer:

What is your question????

Answer:

you don't have a question here tho

Step-by-step explanation:

i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?

Answers

Answer:

20% of them we flavored vanilla that day

Step-by-step explanation:

When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.

Required:
Find an equation for Sn.

Answers

Solution :

If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.

Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,

[tex]a_1 = D[/tex]

[tex]a_2=D_c[/tex]

[tex]a_3 = Dc^2[/tex]

[tex]a_4 = (Dc^2)c= Dc^3[/tex]

....

[tex]a_n=Dc^{n-1}[/tex]

∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]

  [tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]

  [tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]

  [tex]S-n=D . \frac{1-c^n}{1-c}[/tex]

Pls help I need a good grade

Answers

A

Step-by-step explanation:

m+n

2..................

Solve for
X/11=10/12

Give your answer as an improper
fraction in its simplest form.​

Answers

12x = (10)(11)

12x=110

x=110÷12

x=55/6

What is the location of X' when X is translated 3 units left and 9 units down?

Answers

Answer:

-3,-9

Hope this helps

Answer:

(-3,-9)

Step-by-step explanation:

X goes first then Y, since they are both negative they go backwards on the graph

Help plzzzzz fast and no links

Answers

Answer:

x=60

Step-by-step explanation:

I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60

For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical

Answers

Answer:

3) (I) Numeric , and (II) Numeric

Step-by-step explanation:

Numeric variable:

The variable assume number values.

Categorical values:

The variable assumes labels. Examples are yes/no, good/bad.

(I) Fuel economy (miles per gallon) of used car

(II) Number of auto insurance claims in a month

Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).

what is the absolute value of the complex number −4−i 2√?

Answers

Answer:

-4-i2

The absolute value is the Square root of the real and Imaginary Parts of the Complex No

= √(-4)²+(-2)²

=√16+4

=√20

=2√5

Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30

Answers

Answer:

go to school, do your work, you are only cheating yourself, not the school, or end up homeless

Step-by-step explanation:

If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest

Answers

Answer:

yes

Step-by-step explanation:

Find cotθ if θ terminates in Quadrant III and secθ = 2

a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3

Answers

Answer:

we have

secθ = 2

[tex] \frac{1}{cos θ} [/tex]=2

Cosθ =[tex] \frac{1}{2 }[/tex]

[tex] \frac{b}{h }=\frac{1}{2 }[/tex]

b=1

h=2

p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]

again

Cot θ=[tex] \frac{b}{p }[/tex]

Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

It lies in Quadrant III cot is positive

Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]

b. (sqrt 3)/3

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit

Answers

Answer:

Dr. Gavin needs to recruit 200 participants.

Step-by-step explanation:

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.

This means that there will be 2*4 = 8 cells.

Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?

25 people in each cell, 8 cells. So

25*8 = 200

Dr. Gavin needs to recruit 200 participants.

4 + (m -n )^4 when m =7 and n = 5 whats the value ?

Answers

Answer:

20

Step-by-step explanation:

We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.

If this has helped please mark as brainliest

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{Equation:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]


[tex]\large\textsf{Solving:}[/tex]

[tex]\mathsf{4 + (m - n )^4}[/tex]

[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]

[tex]\mathsf{= 4 + (2)^4}[/tex]

[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]

[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]

[tex]\mathsf{= 4 + 4\times 4}[/tex]

[tex]\mathsf{= 4 + 16}[/tex]

[tex]\mathsf{= 20}[/tex]


[tex]\large\textsf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

A piece of aluminum that is 20 cm³ has a mass of 54 g.
a. What is the density of the aluminum?

Answers

2.7 grams/ cm ³ , it will float

Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *

HELPP MEEE ASAP PLSS

Answers

A stands for area. So here we know that a squares area is side to the power of 2 and thats the only way to show area with exponent. So here we get A=4^2 feet squared. Hope it helped :)!

A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years

Answers

Answer:

$5,956.2

Step-by-step explanation:

First we need to find the amount after 5years using the formula

A =P(1+r)^n

A = 9000(1+0.06)^5

A = 9000(1.06)^5

A = 9000(1.3382)

A = 12,043.8

Interest after 5 years = 12,043.8 - 9000

Interest after 5 years = 3,043.8

Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2

If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?

Answers

Make these fractions and set them equal to each other with dollars on top, euros on bottom

8/13 =500/x

(Cross multiply)

8x= 6,500

(Divide by 8 to isolate the variable)

x= 812.5

(Euros are paper money, not a coin system and they won’t give you more money than what you gave them so you must round down to the nearest whole number which is 812 Euros)

ANSWER:
812 Euros

Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.​

Answers

9514 1404 393

Answer:

  6 2/3

Step-by-step explanation:

  4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3

can someone help me with math I don’t really understand it

Answers

1.) Crown pls ;)

A.) The domain is (-∞,∞) or (-infinity, infinity)

B.) The range is (0,∞) or (0, infinity)

C.) The y-intercept is (0,6)

D.) x-axis

E.) Base

2.)

Find the length of side x in simplest radical form with a rational denominator
60°
3
30
X

Answers

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2


HELP ME ‼️

$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)

Answers

Answer:

median of (298, 196, 248) - 196

median of (379, 319) - 349

median of (276,198, 349) - 198

Step-by-step explanation:

A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.

Answers

Answer:

Amount of water left in tank = 440 cm³

Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm  

Water level in tank = 2/5

Side of a cubic tank = 18 cm

Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

Volume level in rectangular tank = [2/5][15,680]

Volume level in rectangular tank = [31,360/5]

Volume level in rectangular tank = 6,272 cm³

Volume of cube = side³

Volume of cube = 18³

Volume of cube = 5,832 cm³

Amount of water left in tank = Volume level in rectangular tank - Volume of cube

Amount of water left in tank = 6,272 - 5,832

Amount of water left in tank = 440 cm³

Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?

Answers

Answer:

100degrees

Step-by-step explanation:

From the given diagram;

<2 = <6 (corresponding angle)

Since <6 + 80 = 180

<6 = 180 - 80

<6 = 100 degrees

Since <2 = <6, hence <2 = 100degrees

Complete the following equation using <,>, or = 7___24/4

Answers

Answer:

<

Step-by-step explanation:

Have a Great Day!!!

Hey May I Ask Whats The Rule Of This Number​

Answers

Answer:

add 4x1, then 4x2, then 4x4, then 4x8, etc

Step-by-step explanation:

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