A random sample of 16 ATM transactions at the Last National Bank of Flat Rock revealed a mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes. The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is plus/minus (to three decimal places):

Answers

Answer 1

Answer:

The  width is  [tex]W = 1.2786[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  n = 16    

      The mean time is  [tex]\= x = 2.8 \ minute[/tex]    

     The standard deviation is  [tex]s = 1.2 \ minutes[/tex]

Generally the degree of freedom is mathematically represented as  

         [tex]df = n - 1[/tex]

=>      [tex]df = 16 - 1[/tex]

=>     [tex]df = 15[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  df = 15 is  

   [tex]t_{\frac{\alpha }{2} , 15 } =  2.131[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 15 } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.131  *  \frac{ 1.2 }{\sqrt{16} }[/tex]

=>    [tex]E = 0.6393 [/tex]

Generally the width the confidence 95% confidence interval  

       [tex]W = 2 * E[/tex]

=>    [tex]W = 2 * 0.6393[/tex]

=>    [tex]W = 1.2786[/tex]

     


Related Questions

Can you help me find x and y intercept?
I dont understand how to do it.​

Answers

Answer:

The y-intercept is where the line crosses the y-axis, and the x-axis is where the line crosses the x-axis. For example, the y-intercept for Line A is 2 because it crosses the y-axis at (0,2) on the coordinate plane.

Step-by-step explanation:

Answer: y= 12 and x= is a value

Step-by-step explanation:

x=2+7=x

y= 7+5=y which is 12

Which is the best estimate for the percent equivalent to StartFraction 3 Over 8 EndFraction?

Answers

Answer:

The answer is 38%.

Been stuck on this one

y-intercept of –7 and a slope of 3/2

Answers

Answer:

y=3/2x-7

Step-by-step explanation:

Slope-intercept formula: y=mx+b

m= slope

b= y-intercept

Replace the "m" and "b" the number that is given it

So the slope of 3/2 will look like this in the equation:

y=3/2x+b

THe y-intercept of -7 will look like this in the equation with the slope:

y=3/2x-7

Hope this helps!

Mr. Hawkins is covering a wall with
wallpaper. The room measures 14 feet by 12
feet in a rectangular shape. Each square foot
of wallpaper costs $2.90. What is the cost of
adding wallpaper to the room

Answers

Answer:

The total cost of adding wallpaper to the room is $487.20

Step-by-step explanation:

Basically, how I got the answer is:

1. The shorter sides of the rectangle are 12 and the longer sides are 14.

2. The formula for a rectangle is A = l x w. The "l" means length and the "w" means width. 14 is the length and 12 is the width. So you should now have A = 14 x 12. If you multiply 14 by 12, you will get 168.

3. Since 1 square foot of carpet costs $2.90, then you should multiply by 168, which will give you $487.20 and that's pretty much it.

Hope this helps! :)

The total cost of adding wallpaper to the room by Mr. Hawkins is $487.20.

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the shape of the wall that Mr. Hawkins covering with wallpaper is rectangular.

The formula to find the area of a rectangular shape is,

Area of a rectangular shape = Length × Width

Given that,

Length of the wall = 14 feet

Width of the wall = 12 feet

Substituting the given measurements to the formula, we get,

Area of the wall = 14 × 12 = 168 feet²

Also, given that,

Cost for each square foot of wall = $2.90

Cost for 168 square feet = $2.90 × 168

                                        = $487.20

Hence the total cost for adding wallpaper to the room is $487.20.

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what is (-2³)-2. PLEASE I NEED LOTS OF HELP. I BEG YOU

Answers

Answer:

-10

Step-by-step explanation:

-2³-2=-8-2=-10

2³= 8 = 2×2=4×2=8

Here’s the answer w steps :)

BRAINLYEST TO THE FIRST PERSON TO GET THEM RIGHT AND 5 STARS!!!!! simplify 7/10 x 1/3 x 2/3 A. 7/45 B. 14/90 C. 1 2/5 D. 6 3/7 Simplify
4 2/5 x 3
A. 66/5
B. 4 2/5
C. 12 2/5
D. 13 1/5 Simplify
4 3/5 x 3
A. 69/5
B. 7 1/5
C. 12 3/5
D. 13 4/5 Simplify
4 2/5 x 3 2/5
A. 374/25
B. 9 3/5
C. 12 4/25
D. 14 24/25 Simplify
(3/4)^2
A. 3/4
B. 6/8
C. 9/16
D. 2 1/4

Answers

Answer:

1) 7/45

2) 13 1/5

3) 13 4/5

4) 14 24/25

5)9/16

Step-by-step explanation:

ez

algebra 1 please help​

Answers

Answer:

that seems hard

Step-by-step explanation:

i cant see the pic tho

HELP PLZZZZZ ASAP
What is the new price of a clock that is on sale for 25% off the original price of $30.00?
$25.00
$22.50
$23.50
$7.50

Answers

Answer: $22.50

Step-by-step explanation:

25% of 30 = 7.5

30 - 7.5 = 22.50

Answer:

$22.50

Step-by-step explanation:

$30.00 x %25 or .25 = $7.50

$30.00 - $7.50 = $22.50

Which expression is equal to (−4x2−1)(2x2+3)?




−8x4−14x2−3

−8x4−10x2+3

−8x2−14x−3

8x4−14x2+3

Answers

Answer:

The first one:

−8x4−14x2−3

Step-by-step explanation:

(-4•2-1)(2•2+3)

-4•2 = -8

-8 - 1 = -9

(-9)(2•2+3)

2•2 = 4

4+3 = 7

(-9)(7) = -63

Now we find the one that equals -63:

-8•4-14•2-3

(-8•4)-14•2-3

-32-14•2-3

-32-(14•2)-3

-32-28-3

(-32-28)-3

-60-3

-60-3 = -63

BAM! THE ANSWER!

Answer:

The firs one is the right one

Step-by-step explanation:

What is a fraction form of 1.40?

Answers

1 2/5

Hope this helps :)

A cylinder has a height of 9 inches and a diameter of 12 inches. What is its volume?

Answers

Answer:

The volume of the cylinder is 4071.5

May I have brainliest please? :)

Giving Brainliest To the First Correct Answer:)

Answers

Answer:

10

Step-by-step explanation:

12/2=6+4=10

A pre-algebra book is 8 1 half inches by 9 1 fourth inches. Determine the perimeter of the textbook.

Answers

Answer:

Rectangular book--

two 8 1/2 sides

two 9 1/4 sides

8 1/2*2=17

9 1/4*2=18 1/2

17+18 1/2= 35 1/2

The perimeter of the textbook is 35 1/2 inches or 35.5 inches.

-this is not mine btw creds to sunflowerem :))

I need help with this ​

Answers

Answer:

the answer is c and maybe b and aslo maybe a also maybe d

Step-by-step explanation:

hahah  I hope this help but it is b b is the correct answer

Which scenario could be represented by this graph?

a. Randy turns the oven off. After heating his food for 10 minutes, he turns the oven off. The a-axis represents time; the y-axis represents the oven temperature.

b. Randy places a thermometer inside a beaker of water and brings it to a boil. When the water begins boiling, he turns off the heat and waits until the water returns to room temperature. The x-axis represents time; the y-axis represents the temperature reading.

c. Randy turns off the oven. After the oven returns to room temperature, he waits 10 minutes and then turns the oven back on. The x-axis represents time; the y-axis represents the oven temperature

d. Randy place is a thermometer inside a beaker of water and brings it to a boil. the x-axis represents time; the y-axis represents the temperature reading

Answers

Answer:

The answer is C

Step-by-step explanation:

When he turned the oven off the temperature dropped. Then is stayed at a steady 0° until he turned it back on, causing the graph to move up again because the temperature rose.

Answer:

The answer is C

Step-by-step explanation:

When he turned the oven off the temperature dropped. Then is stayed at a steady 0° until he turned it back on, causing the graph to move up again because the temperature rose.

How many times does 25 go into 63

Answers

Answer:

2 times

Step-by-step explanation:

25 x 2 is 50. And 25 x 3 is 75, and 75 is larger then 63.

What does the point (1, 35) mean in this situation?

Answers

Answer:

The x-axis is 1 and the y-axis is 35

Correct me please if I am wrong :)

Step-by-step explanation:

it actually means in one hour you have driven or ran 35 miles

which points are separated by distance of 6 units?
A. (1,3) (6,3)
B. (7,2) (1,2)
C. (8,1) (1,1)
D. (5,6) (4,6)​

Answers

i think it’s b! i hope that helps!

What is the unit rate of 15 crayons and 30 markers

Answers

Answer: For every one crayon, there are 2 markers

Step-by-step explanation:

We must divide each number by it's GCF

15 / 15 = 1

30 / 15 = 2

Answer: 1 to 2

Please help ASAP Due in 1 hour!!! Marking Brainliest!!!

Answers

Answer:

the answer is d

Step-by-step explanation:

a function is where you have 1 output for every input so you can't have an x value with 2 different outputs

Answer: I’m sure it’s D

Step-by-step explanation:

Expand the expression.

t(–1.2w + 3)

Answers

Answer:

-2.5

Step-by-step explanation:

srry if I'm wrong...........

The expression t(–1.2w + 3) can be expanded as -1.2wt + 3t.

What is an expression?

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

Given expression,

t (-1.2w + 3)

Using distributive property

-1.2wt + 3t

Hence, -1.2wt + 3t is the expanded form of the expression t(–1.2w + 3).

Learn more about expressions here:

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There are 3,072 books in the school library. If 96 students team up to read all the books and each student reads the same number of books, how many books will each student need to read? *

Answers

Answer:

32

Step-by-step explanation:

Equivlency:

3072/96 =32

what fraction of 5 liter is 1500 ml​

Answers

I think the answer is 1.5/5

When a sample size is greater than 10, the standard deviation of the sample is an accurate predictor of the population standard deviation. A. True B. False

Answers

Answer:

false because 40 is still very very small

Step-by-step explanation:

Is the sum positive negative or zero without adding -8+20

Answers

Answer:

positive

Step-by-step explanation:

-8+20 will have a positive sum because the positive number 20 is greater than the negative number 8

Answer:

Positive

Step-by-step explanation:

Without adding you can tell wether a number is positive or negative with addition because it is basically a number line. Think of subtracting -8 from 0 which would give you -8. Now add 20 to it causing it to get out of the negatives and become positive.

14,6,-2,...;27th term

Answers

Answer:

27th term = -194

Step-by-step explanation:

The terms decrease by 8.


What is the solution of the equation 2X = 7? Round your answer to the nearest ten-thousand.

Answers

Answer:

x =2.8074

Step-by-step explanation:

2^x = 7

Take the log of each side

log (2^x) = log (7)

We know  log a^b = b log a

x log 2 = log 7

x = log (7) / log 2

x =2.80735

To the nearest tenth thousandth

x =2.8074

-6 x 1
I don't understand ​

Answers

Answer:

It's literally -6.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Any negative number times a positive number, is automatically going to be a negative number.

- X + = -

- X - = +

+ X + = +

A wave is traveling with a speed of 330 m/sec and has a frequency of 110 Hz. Determine its wavelength (λ).

λ= speed/frequency

frequency=speed/ λ

speed= λfrequency

Group of answer choices

3 km

11 m

11 km

3 m

Answers

Answer:

11

Step-by-step explanation:

11

46 + [3(2+5)] + 5}
Simplify expression using order of operations

Answers

uhhhh

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

To solve 46 + {[3(2+5)]+5}, you would first do what is inside the () so that would be 2+5, then you would move outward multiplying 7 by 3 to get 21, then adding 5 to get 26. Then you would finally add 46 to get 72

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