An internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluation is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes.
274 347 283 307 327 314
303 285 280 391 359 325
Interpret the confidence interval estimate.
a. Based on the sample data, with 90% confidence, the ISP can conclude that the sample mean daily usage time is between _____ minute(s) and _____ minute(s).
b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between _____ minute(s) and _____ minute(s).
c. Based on the sample data, the ISP can conclude that 90% of daily usage times are between _____ minute(s) and _____ minute(s).

Answers

Answer 1

Using the t-distribution, it is found that the correct interpretation is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

We can find the standard deviation for the sample, which is why the t-distribution is used to solve this question.

We are given a   sample size of [tex]n = 64[/tex].

Using a calculator, we find that:

The sample mean is [tex]\overline{x} = 316.25[/tex]The sample standard deviation is [tex]s = 35.68[/tex]

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 12 - 1 = 11 df, is t = 1.7959.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 316.25 - 1.7959\frac{35.68}{\sqrt{12}} = 297.75[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 316.25 + 1.7959\frac{35.68}{\sqrt{12}} = 334.75[/tex]

From the confidence interval, we can infer about the population mean, hence, the correct option is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

A similar problem is given at https://brainly.com/question/15180581


Related Questions

if I move up 8 and then move down 8 where am I located?​

Answers

Answer:

you are back in your place.

Step-by-step explanation:

Write the equation of the line graphed below in slope-intercept form.

a. y = 3x +12

b. y = 12x + 3


c. y = 2x + 3


d. y=12x

Answers

Answer:

C

Step-by-step explanation:

c. y = 2x + 3

first you need to find the y-intercept which is 3

and then the slope rise/run which is 2 so y = 2x + 3

The union of { 1, 2, 3, 4, 5, 6 } and { 4, 5, 6, 7, 8, 9, 10} is ( 4, 5, 6 }. True or false?

Answers

Answer:

Below:

Step-by-step explanation:-

The answer is in the comment!! someone answered your question!!

Answer:

false this is because the answer would contain all the values in both sets

answer this question fast

Answers

Answer:

0.09

Step-by-step explanation:

i need detailed answer for this question. please help it’s for elementary school

Answers

Step-by-step explanation:

=4÷8-15

=½-15

= -14½

hope this helps you.

Answer:

-14.5

Step-by-step explanation:

4÷2^3-15

2^3= 8

4÷8-15

4÷8= 0.5

0.5-15= -14.5

-14.5

Zoin is reading a 300-page book.He is 41% finshed. How many pages of the book has he read so far?

Answers

Answer: 41% of 300 is 123

this was a basic answer

He has read 123 pages of the book so far.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Zoin is reading a 300-page book.He is 41% finshed.

Therefore, we get;

41% of 300

41% x 300

0.41 x 300

= 123

Hence,

The number of pages is 123

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

What is the distance between the points (6, 11) and (3, 1)? If necessary, round
your answer to two decimal places.
A. 109 units
B. 9.43 units
C. 10.44 units
D. 89 units

Answers

Answer:

C.) 10.44030650

Step-by-step explanation:

Answer:

C. 10.44 units

Step-by-step explanation:

Use distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values and calculate:

[tex]d=\sqrt{(3-6)^2+(1-11)^2} =\sqrt{(-3)^2+(-10)^2} =\sqrt{9+100} =\sqrt{109} =10.4403[/tex]

Correct choice is C

HELP ASAP
I WILL GIVE BRAINLIEST



How is the product of 2 and 5 shown on a number line?
2-1 0 1 2 3 4 5.7.1
-10
101235
7.
-13-
3-L 1 2 3
5
-1012
4 5

Answers

Answer:

4th option

Step-by-step explanation:

2x-5 means yo have to take minus 5 twice. So you start from 0 and jump back 5 steps twice. So 4

Do You KNOW HOW?
Describe the type of association between x and
y for each set of data.
Please help☹️

Answers

Answer:

The type of association between x and y are inversely proportional  

Step-by-step explanation:

Solution:

Here the x value increase, the y value decrease which implies that x is inversely proportional to y

I hope this helps.

Previous Answer is Correct

Ms. McCullough bought a bunch of bananas. If she ate 2/8
the bananas and Mrs. Byrd ate 1/4, what fraction of bananas
remains?

Answers

Answer:

1/2

Step-by-step explanation:

that's the answer because 2/8-1/4 is 1/2

PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.​

Answers

Step-by-step explanation:

xy=360

x-y=75

(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1

if a triangle perimeter=150cm, side A=86cm, side B=50cm, then side C=__.​

Answers

Answer:

150-86-50=14cm

Step-by-step explanation:

Answer:

C=14cm

150-86-50= 14

Step-by-step explanation:

Please do this step by step!

Answers

Answer:

Step-by-step explanation:

Let the amount creating equality = x

10% x + 625 = 20%x                Convert The percentages to a decimal

10/100 x + 625 = 20/100 x       Multiply both sides by 100

10x + 62500 = 20 x                  Subtract 10x from both sides

62500 = 20x - 10x                   Combine

62500 = 10x                             Divide by 10 on both sides

62500/10 =10 x/10

6250  = x

The equality is reached when 6250 sales is made.

How to express a mixed number as a percent

Answers

Answer:

Make it an improper fraction and multiply by 100

Answer:

Well a percent means out of a hundred

And a mixed number is

x e/y (example)

Now we know the whole number is already 1 and above so we know that’s already a 100%

Now we just need to add the other fraction to the 100%.

Thats it!

OR you can do convert the mixed number into an improper fraction.

From there make a proportion of the improper fraction equaling x/100

Now solve the proportion by cross multiplying.

Solve for x

a bird is flying 1200 feet above the see level. at a particular point it is directly above a fish floating at 400 feet below the see level .by how much the bird must descend its flight to be as far as from the see level,as the fish is​

Answers

200 feet ur welcome :)

Answer:

Ok the answer is 200 feet

Help help math please help help help help

Answers

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

Can someone help? anyone?

Answers

Answer:

The right answer is letter C.

Step-by-step explanation:

I hope it's help

have a nice day and night

(x-1)I+(y+1)=(1+i)(4-3i)​

Answers

Answer:

x=2, y=6

Step-by-step explanation:

Find the equation for the linear function based upon this table. y = mx + b


y -6 -2 2 6 10
x -4 -2 0 2 4

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

for each rise of 4 in y

there is a run of 2 in x

m = rise/run

m = 4/2

m = 2

when x = 0, y = 2

therefor the y-intercept, b = 2

y = mx + b

y = 2x + 2

To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.

Answers

Answer:

option d

Step-by-step explanation:

Your should have attached the equation for answer to be explained

Determine whether the distribution is a discrete probability distribution

X. 1 2 3 4 50
P(x) 0.28 0.45 0.11 0.08 0.08




Is the distribution a discrete probability distribution?

O A. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.

OB. No, because each probability is not between 0 and 1, inclusive.

O c. Yes, because the sum of the probabilities is equal to 1.

OD. No, because the sum of the probabilities is not equal to 1.

Answers

Answer:

A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.

P(x) = probability that X takes on a value x.

x P(x)0 P(x = 0) = 250

1 P(x = 1) = 1150

2 P(x = 2) = 2350

3 P(x = 3) = 950

4 P(x = 4) = 450

5 P(x = 5) = 150

Step-by-step explanation:

pa follow po pls.

Select the graph which correctly displays the function f(x) = |x + 2|– 3.

graph 1
graph 2
graph 3
graph 4

Answers

Answer:

Graph 4

Step-by-step explanation:

I have to put more words lol

Pls brainlest ASAP and add extra points for correct answer

Answers

Answer:

glucose, sunlight and oxygen on the left (they go in the cell)

water and carbon dioxide on the right (they go out of the cell)

A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.

Answers

Answer:

Step-by-step explanation:

y =  bushels of carrots picked

6 = bushels of carrots per hour (rate of change)

x = time worked at picking

2 = initial number of bushels picked before time starts.

My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".

its urgent .have an exam tomorrow .pls help

Answers

B- 55 minutes. 6:20-7:15 in duration is 55 mins

1. Michael serves 1.5 quarts of juice for eight people if he’s going to serve 128 people how much juice does he need?


2. five out of nine people at Hawaiian Falls have a season pass if there are 360 people at the pool how many have a season pass?

Answers

Answer:

1. 24 qt

2. 200 people

Step-by-step explanation:

1. Use a proportion.

1.5 qt to 8 people = x qt to 128 people

1.5/8 = x/128

Cross multiply.

8x = 1.5 × 128

8x = 192

x = 24

Answer: 24 qt

2.

5/9 of number of people have a season pass.

number of people at pool = 360

5/9 × 360 = 200

Answer: 200 people

What's fish + nine?
I NEED HELP!?

Answers

Answer:

nine fish............

Answer: 9 Fish

Step-by-step explanation:

Solve 2x-1/4 + x/3 = 2

Answers

Step-by-step explanation:

=> 2x-1/4 + x/3 = 2

=> 3(2x-1) +4x / 12 = 2

=> 6x -3 + 4x = 24

=> 10x = 27

=> x = 2.7

Answer:

x = 27/28

Step-by-step explanation:

Solve 2x-1/4 + x/3 = 2

2x - 1/4 + x/3 = 2

2x + (-1/4) + 1/3x = 2

(2x + 1/3x) + (-1/4) = 2

7/3x + (-1/4) = 2

7/3x = 9/4

3/7 * 7/3x = 3/4 * 9/4

x = 27/28

---------------------

check

2 * 27/28 - 1/4 + 27/28 *1/3 = 2

2 = 2

the answer is good

Find the gradient of the line segment between the points (4,-6) and (-6,-16).

Answers

Answer:

1

Step-by-step explanation:

gradient M= change in Y / change in X

= (-16--6)/(-6-4)

= -10/-10

M therefore= 1

which of the following is the inverse of F(x) = 2 x + 3?

Answers

Answer:

[tex]\frac{x-3}{2}[/tex]

Step-by-step explanation:

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