A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.

Required:
Was this a reasonable decision?

Answers

Answer 1

Answer:

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

Step-by-step explanation:

90% confidence interval

larger sample size = 20

condition : sample mean ( x-bar ) is the same for both samples

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

from condition 1 :

Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%

for condition 2 :

sample size = 20

mean = 2.25 ( assumed value )

std = 0.15 ( assumed value )

Z = 1.645 ( Z-value )

determine the 90% confidence interval

= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]

= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]

= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )


Related Questions

Please Help me !!!!!!

Answers

Ok so I’m going to try my best:
I’m guessing you would do $960 times 6.1 but you move the decimal point twice to the left which would be: .061
This is how we find out each month
58.56
So, we start out with $960 we keep adding 58.56 or to do faster we can multiply
Adding 58.56:
1 = 1018.56
2 = 1077.12

Multiplying 58.56 by 13:
KEEP IN MIND THAT WE START FROM $960 and we need TO GET TO $1,720
58.56 times 13 equals 761.28
Then we add
960 + 761.28
1721.28

So it would have to be 12 months since it needs to be less or “to the nearest year”
Therefore, the answer would be a year

I hope this helps! :) good luck


It’s 12 months I think I’m sorry if it’s wrong.

What kind of triangle is shown?
I’m sorry for the blurry picture but please help

Answers

Answer:

Right scalene

Step-by-step explanation:

what is the inequalities x<3

Answers

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

hope this help you... :) and have a good day

Answer:equal to y

x is equal to y. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. x>y. x is greater than y.

Step-by-step explanation:

2 times x minus 5 is 7. What is x?

Answers

Answer:

6

Step-by-step explanation:

take 7 add 5 and then u get 12 so u take half of that and u get 6

Solve for the value of v: V+27=117

Answers

v+27=117
Subtract 27 to 117:
v=90
The answer is v=90.

Solve for <4.
4 = [?]
O
319
32°
64

Answers

Step-by-step explanation:

32+31+x=180

63+x=180

x=117

x= 117 4

The population of a remote village is about 3 x 102 and the population of the nearest large city is
about 6 x 10%. Determine how many times larger the city population is in comparison to the
village population.
A. 18 x 107
B. 2000
C. 2 x 107
D. 2 x 10
E. 5x102

Answers

Answer:

DE

Step-by-step explanation:

Give the range of the following data set: 4, 5, 8, 18, 21, 43, 82 *
88
86
78
Option76 4

Answers

Answer:

78

Step-by-step explanation:

The range is the difference between the highest and lowest number:

4, 5, 8, 18, 21, 43, 82

The highest number is 82 and the lowest is 4

82 - 4 = 78

The range is 78

this is the question down below it also has options to choose​

Answers

Answer:

Sorry, this answer has been removed and the account has been banned for 17 hours, 19 minutes and 52 seconds

Step-by-step explanation:

Answer:

Were is the problem?

Step-by-step explanation:

10.6 - 3x when x is equal to 4.5.​

Answers

Answer:

The answer is 2.6

Hope this Helps!!!

10.6-3(4.5)
10.6-13.5
=-2.9

how much is 4^7 + 4^7 ÷ 4^5?

Answers

Answer:

Answer is 16400

I hope this help you

Which equation shows a correct relation for triangle RSQ?

Answers

Answer:

sinQ=cosR

Step-by-step explanation:

First we need to find out the measure of ∠R.

The sum of all the angles in a triangle add up to 180. Therefore:

∠Q+∠R+∠S=180

66+∠R+90=180

∠R=180-156

∠R=24°

Since ∠Q≠∠R, sinQ≠sinR. So the first option is incorrect - let's try the second one.

sinQ=cosR

sin66=cos24

0.9135454576=0.9135454576

So the second equation is the correct relation.

the value of square root of 4/49​

Answers

Answer:The square root of 4 is 2 . The square root of 49 is 7 .Apr 19, 2015

Step-by-step explanation:

HELP PLEASE ILL GIVE BRAINLIEST IF I CAN
Victor was designing a new office. Every 2 inches on his scale drawing represented 7 feet on the new office. If the length of the conference room on the scale drawing was 9 inches, how long was the actual conference room?


A. 63 ft

B. 25 ft

C. 31.5 ft

D. 35.5 ft

Answers

I believe the answer is c
I believe the answer is C

Answer choices:
F. 1/2
G. 2/5
H. 1/10
J. 3/5
Someone answer this question if you know the answer.

Answers

Answer: F. 1/2

Step-by-step explanation:

If you add all the bows together, you get 10. The question is asking the probability of just 1 bow. This means you have a 1/10 chance. If you simply that, you end up with 1/2.

Solve the system of equations by any method you choose
-4x-2y=-2
-9x+3y=3

Answers

Answer:1. Use substitution to solve the system of equations:

   -x + 2y=7

    x - 3y = 3

2. Solve the system of equations by the elimination method

a.  2x+ y = -17

   x - y = 2

b. 3x + y = -15

  x + 2y = -10

Answer:

(0, 1)

Step-by-step explanation:

You can solve this by using the substitution or elimination method. For this problem, I'm going to use the substitution method. First, rewrite -4x-2y=-2 in slope-intercept form, which would be y=-2x+1. Substitute the y value in -9x+3y=3 (which would be -9x+3(-2x+1)=3) and solve.

-9x+3(-2x+1)=3

-9x-6x+3=3

-15x=0

x=0

Now, substitute the x value in for the x in any equation. You can do -4(0)-2y=-2 or -9(0)+3y=3. I'm going to use -9(0)+3y=3.

-9(0)+3y=3

3y=3

y=1

In 2009 a survey of Internet usage found that 79 percent of adults age 18 years and older in the United States use the Internet. A broadband company believes that the percent is greater now than it was in 2009 and will conduct a survey. The company plans to construct a 98 percent confidence interval to estimate the current percent and wants the margin of error to be no more than 2.5 percentage points. Assuming that at least 79 percent of adults use the Internet, which of the following should be used to find the sample size (n) needed?

a. 1.96 â0.5/n = 0.025
b. 1.96 â0.5(0.5)/n = 0.25
c. 2.33 â0.5(0.5)/n =0.05
d. 2.33 â0.79(0.21)/n= 0.025

Answers

Answer:

[tex]0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}[/tex]

Option d.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

79 percent of adults age 18 years and older in the United States use the Internet.

This means that [tex]\pi = 0.79[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].

Which of the following should be used to find the sample size (n) needed?

We have to find n for which [tex]M = 0.025[/tex]

So the equation is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}[/tex]

Option d.

Realiza las siguientes multiplicaciones
a) (+27) ⋅ (+2) =
b) (+12) ⋅ (−13) =
c) (−10) ⋅ (+10) =
d) (−56) ⋅ (+89) =
e) (−100) ⋅ (−135) =
f) (+553) ⋅ (+24) =

Answers

Answer:

A 54

b -156

c -100

d -4984

e 13500

f 13272

Which of the following is a unit fraction?


A. 4/9

B. 15/16

C. 3/8

D. 1/8

Answers

Answer:

D. 1/8

Step-by-step explanation:

A unit fraction is a fraction with numerator of 1.

Answer:

D 1/8 Because unit factions always have a one as the numarator

I know but please I need to pass report cards are coming soon ​

Answers

Answer:

D

Step-by-step explanation:

add all sides together and multiply like a regular square and then divide by 2

Can someone please help me

Answers

Answer:

So you must do tan(27)=x/2000Then once you have x you do: x^2+y^2=c^2 solve for c then add up all the sides and then subtract your total by 2000 to get the difference

HURRY PLEASE

Simplify: 12k - 6 + (3k)(4)

Answers

12k-6+12k (expand the brackets first)
24k-6 (collect like terms)

Final answer is 24k-6

A man is climbing up a ladder set against the wall of a house. As he climbs
to the top, the covers the distance of 4 feet horizontally and 10 feet
vertically. What is the ladder's angle of elevation? Determine the answer to
the thousandth degree . *

Answers

The Answer is 68.199

1

3

This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 2

2

4

hours on Wednesday. Next week Andres will practice with his band for the same number of hours

on Monday, Tuesday, and Wednesday.

What is the total number of hours Andres will practice with his band over these 6 days?

Answers

Answer:

[tex]Total = 104\ hrs[/tex]

Step-by-step explanation:

Given

[tex]Monday = 15\ hrs[/tex]

[tex]Tuesday = 13\ hrs[/tex]

[tex]Wednesday = 24\ hrs[/tex]

Required

Determine the hours of practice over 6 days

First, we calculate the hours for the given 3 days.

[tex]Hours = Monday + Tuesday + Wednesday[/tex]

[tex]Hours = 15\ hrs + 13\ hrs + 24\ hrs[/tex]

[tex]Hours = 52\ hrs[/tex]

The hours of practice for the other three days is also 52 hours.

So, the total is:

[tex]Total = 52\ hrs + 52\ hrs[/tex]

[tex]Total = 104\ hrs[/tex]

Answer:

104

Step-by-step explanation:

HELPPPP PLEASE!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

7 - 2 = 5

11 - 3(2)

11 - 6 = 5

4(2) - 3

8 - 3 = 5

C is the only one that doesn't equal 5

You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from ... 10 slices of bread and 20 slices of cucumber

Answers

Question:

You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from 10 slices of bread and 20 slices of cucumber? assuming you have plenty of everything

Answer:

4 sandwiches

Step-by-step explanation:

Given

1 Sandwich contains:

[tex]Bread = 2\ slices[/tex]

[tex]Turkey = 1\ slice[/tex]

[tex]Cheese = 2\ slices[/tex]

[tex]Tomato = 3\ slices[/tex]

[tex]Cucumber = 5\ slices[/tex]

Required

Number of sandwiches from 10 slices of bread and 20 slices of cucumber?

Since we are to assume that every other thing is in abundance, we will only consider the unit amount of bread and cucumber

[tex]Bread = 2\ slices[/tex]

[tex]Cucumber = 5\ slices[/tex]

Express as ratio

[tex]Bread : Cucumber = 2 : 5[/tex]

When the ratio is multiplied by 5, the slice of cucumber (25) will exceed the available slices (20).

So, we multiply by 4

[tex]Bread : Cucumber = 2*4 : 5*4[/tex]

[tex]Bread : Cucumber = 8 : 20[/tex]

This implies that:

8 slices of bread and 20 slices of cucumber are used

Hence:

4 sandwiches can be made

What is the vertex of the quadratic function: y=1/2(x-3)2+8?

(3,8)

(-3,-8)

(-3,8)

(3,-8)

Answers

Answer:

(3,8)

Step-by-step explanation:

THIS IS AN EXAMPLE FOR ANY PROBLEM!!

Get the equation in the form y = ax2 + bx + c.

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

- Good luck!

Help please I will mark brainly answer:))

Answers

Answer:

2 times 30.

Step-by-step explanation:

Answer:

im not 100% sure this is right but i hope it helps!

total cost

100 $ for 2 visits

160 $ for 4 visits

190 $ for 5 visits

280 $ for 8 visits

cost per visit

60 $ for 2 visits

120 $ for 4 visits

150 $ for 5 visits

240 $ for 8 visits

Determine the total surface area of the given triangular prism. Only enter the numeric value of your answer. Do not enter the unit of measure. For example, enter 528, not 528 cm^2. Round all answers to the nearest tenth.

Answers

Well if we know the total surface area of thr given triangular prism it would determine how much I need these points.

Answer:

dft

Step-by-step explanation:

hhfhuiygghhjkllkgfdfy

In which quadrant the values of x and y both negative.

Answers

Answer:

The Answer should be Quadrant III

Step-by-step explanation:

Hope this helped!

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