A bottled water distributor wants to determine whether the mean amount of water contained inâ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.008 gallon. You select a random sample of 50 bottles, and the mean amount of water perâ 1-gallon bottle is 0.995 gallon.

Required:
a. Is there evidence that the mean amount is different from 1.0 gallon?
b. What is the test statistic?
c. Compute theâ p-value and interpret its meaning.
d. Construct a 95% confidence interval estimate of the population mean amount of water perâ 1-gallon bottle.

Answers

Answer 1

Answer:

1. There is evidence that mean is different from 1.0 gallon

2. test statistic = -4.42

3. p value = 0.00001

4. 0.9928,0.9972

Step-by-step explanation:

h0: u = 1.0

h1: u not equal to 1.0

alpha = 0.05

sd = 0.008

n = 50

mean = 0.995

standard error se = 0.008/√50 = 0.00113

test statistics calculation

0.995-1/0.00113

= -0.005/0.00113

= -4.42

p value calculation

using the z test statistics and alpha = 0.05

the p value using a p value calculator = 0.00001

0.00001<0.05

so we Reject the null hypothesis

we conclude there is enough evidence that mean is different from 1.0

95% confidence interval

Z alpha/2 = 0.025

we find z value using excel function

NORMSINV (0.025)

|Z| = 1.96

Standard error se = 0.00113

margin of error E = 1.96 x 0.00113 = 0.0022148

confidence interval =

0.995 - 0.0022148, 0.995 + 0.0022148

= 0.9928, 0.9972


Related Questions

help help please it due rn?​

Answers

Answer:

Step-by-step explanation:

E : -5 , -3

F:    2 , -7

Distance = sqrt(  ( 2 -(-5)) * ( 2 -(-5)) + (-7 -( -3)) *(-7 -( -3))  )= sqrt ( 49 + 16 ) = sqrt (65)

I need to give the slope but I don’t know how someone help!

Answers

Answer:

-4/2

Step-by-step explanation:

rise over run

goes down -4 "rises"

moves over 2 runs

ASAP Please!

Enter the amplitude of the function. f(x)=5cosx

Answers

5, so 5 is going to be it

Amplitude of  f(x)=5cosx

= 5

what's an amplitude example?

The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.

It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.

Learn more about amplitude here

https://brainly.com/question/3613222

#SPJ2

Addison sells plants. She sold 7 times as many as tomato plants as pepper plants, for a total of 64 plants sold. How many pepper plants did she sell? PLEASE SOMEONE GIVE ME THE ANSWER AHHHH

Answers

She sold 8 pepper plants.

From this problem I made the equation
7p+p=64

I knew that it needed to be 7 times however many pepper plants she sold, so I substituted p until it equaled 64.

7*8+8=64
56+8=64
64=64

So she sold 8 pepper plants and 56 tomato plants for a total of 64 plants.

Answer:

8 pepper plants were sold.

Step-by-step explanation:

Assuming [tex]x=[/tex] the number of pepper plants sold, she sold [tex]7x[/tex] tomato plants and [tex]x[/tex] pepper plants, and since tomato plants sold + pepper plants sold = 64, we can turn this into the equation [tex]7x+x=64[/tex]. To solve this first we combine like terms to get [tex]8x=64[/tex]. Cancel the 8 by dividing both sides by 8 and we get [tex]x=8[/tex], which is the number of pepper plants sold. (We could also multiply x by 7 to get the number of tomato plants sold, which is 56.) Hope this helps!

PS: Please mark brainliest!

A test was done to look at the maximum speed of mopeds. They found that the maximum speed had a normal distribution with a mean of 29 mph and standard deviation of 1.4 mph. Consider randomly selecting a moped.
a. What is the probability that the maximum speed is at most 31 mph?
b. What is the probability that the maximum speed is at least 29.8 mph?
c. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?
d. Suppose we select 49 mopeds, what is the probability that the sample mean will be at least 29.5 mph?

Answers

Answer:

C

Step-by-step explanation:

A pick-up truck is fitted with new tires which have a diameter of 43 inches. How fast will the pick-up truck be moving when the wheels are rotating at 400 revolutions per minute? Express the answer in miles per hour. (mph)

Answers

Answer:

v = 51.19 mph

Step-by-step explanation:

The diameter of the tires, d = 43 inches

The angular velocity of the wheels = 400 revolutions per minute

400 revolutions per minute = (400/60) rev/s = 6.67 rev/s

The circumference of the tire is :

C = 2πr

= 2π×21.5

= 135.08 inches

The speed of the truck is given by :

[tex]v=6.67 \times 135.08 \\\\v=900.983\ in/s[/tex]

or

v = 51.19 mph

So, the speed of the truck is equal to 51.19 mph.

Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.

Answers

Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.

Answer:

Step-by-step explanation:

this is called  "monotonically decreasing"    as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero,  the number gets smaller and smaller.... it approaches zero is what happens.

Amy needs to estimate how many students at her school like online testing. She needs to create a random sample of students. How should Amy collect her sample? Select two that apply.
O Amy should ask every 10th person leaving the school at the end of the day.
O Amy should ask 3 people at every table in the cafeteria
O Amy should ask her 10 closest friends.
O Amy should ask the 35 students in her honors math class
O Amy should ask the 50 students in the computer club.​

Answers

Answer:
The answer should be the second one and 4th

ALGEBRA

identify the terms, coefficients, and constants in the expression.

5m+9

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

4 more than twice a number is less than the opposite of the number

Answers

Answer:

x=1

Step-by-step explanation:

2n+4<-n

:

2n+n+4<0

:

3n<-4

:

n<-4/3

:

0<2

HELPPPPPPPPP PLEASEEEE​

Answers

Answer:

X=17

Step-by-step explanation:

7x-1+5x-23=180

12x-24=180

12x=204

x=17

Solve if you want cookie!

Answers

Step-by-step explanation:

[tex]y = 2x \: \: \: \: x + y = 6 \\ y = 2x \: \: \: \: x = 6 - y \\ y = 2(6 - y) \: \: \: \: x = 6 - y \\ 3y = 12 \: \: \: \: x = 6 - y \\ y = 4 \: \: \: \: x = 2[/tex]

Gimme tha cookie

Find the degree of the polynomial

Answers

Answer:

2

degree is highest exponent in equation and 2x² has 2 and is highest

No LINK Easy math please help is this liner y=2\x +1 explain please too

Answers

Answer:

It is not linear

Step-by-step explanation:

If you plug that function into Desmos graphing Calculator, you can see there are two leparate lines and they are not straight.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: true

Explanation:

(10-i)-(12+6i)
.............

Answers

Answer:

-2 - 7 i

Srry If Im wrng but Hope this helped :)

Answer:

It is -2-7i

Step-by-step explanation:

THIS IS DUE NOW wiil give crown if right Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?

Answers

Answer:$52.60

Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.

(2x + y)2 – (3x – 2y)2 + (x – 4y)(x + 4y
11​

Answers

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

              = 9x² + 4y² - 12xy

(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

Drag the numbers to create three ratios that are equivalent to 4:12. Each number may be used once or not at all.

Answers

Answer: 20:60, 12:36, 2:6

Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.

What is the simplified expression of 14 – 8 + 4 × 11 ÷ 22 + 6 – 11?

Answers

Answer:

your answer will be 3

Step-by-step explanation:

What is the value of y?
Please help!

Answers

I wanna say 90 because it looks like a right angle

Find the simple interest on the following amounts:
a K4000 invested at 6% p.a. for 4 years
b K23 000 invested at 6.5% p.a. for 8 years
K580 borrowed at 5% p.a. for 9 months
inte
с
500​

Answers

Answer:

a. Simple interest = K960

b. Simple interest = K11,960

c. Simple interest = K261

Step-by-step explanation:

Given the following data;

a. Principal = K4000

Interest rate = 6%

Time = 4 years

To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {96000}{100} [/tex]

S.I = K960

b. Principal = K23 000

Interest rate = 6.5%

Time = 8 years

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

Substituting into the formula, we have;

[tex] S.I = \frac {23000*6.5*8}{100} [/tex]

[tex] S.I = \frac {1196000}{100} [/tex]

S.I = K11,960

c. Principal = K580

Interest rate = 5%

Time = 9 months

To find the simple interest;

[tex] S.I = \frac {580*5*9}{100} [/tex]

[tex] S.I = \frac {26100}{100} [/tex]

S.I = K261

Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.

Answers

Answer:

Raja made an error in d equality sign in d answer

Step-by-step explanation:

-3x< or =6

when dividing both sides by -(negative)3, the sign 4 d answer changes

x > or = -2

Which pair of ratios is proportional?

A. 3 ft : 8 sec and 5 ft : 11 sec

B. 6 yd : 10 mi and 18 yd : 30 mi

C. 3:25 and 5:50

D. 6 in. : 8 min and 3 min : 2 in.

Answers

The answer is = d due to the proportional

NO SCAM LINKS.

please reply ASAP PLEASEEEE

Answers

Answer:

B

Step-by-step explanation:

the answer is B hope this helps

ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!!

Which graph shows a non-proportional tinear relationship between x and y
A
с
B
D

Answers

B since all the others are proportional

The heights, in inches, of five players on a basketball
team are 68, 70, 76, 71, and 70. What is the mean
height, in inches, of these players?
A)76

B)72

C)71

D)70

Answers

Answer:

C) 71

Step-by-step explanation:

To find the mean you must first add all the numbers:

68 + 70 + 76 + 71 + 70 = 355.

After that you divide the number you got by how many numbers are in the set.

There are five players so we divide the number by 5

355/5 = 71

Therefore, it is 71.

please help me on this

Answers

Answer: 7/8

Step-by-step explanation:

There are 8 tickmarks on the number line, each representing 1/8.

So, the question mark represents 7/8 (since it is one tickmark to the left of 1)

Find the value of "x"

Answers

Copy n paste the link above

At a candy store each bag holds 0.75 pounds. A box with 12 pounds of candy is being put into ,b, bags. How many bags of candy is this?

Answers

Answer:

17 bags is correct

Step-by-step explanation:

12 / 75 is equal to 17.14

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