1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brilliant_brown [7]
3 years ago
10

Bottles of a popular cola drink are supposed to contain 300 ml of cola. There is some variation from bottle to bottle because th

e filling machinery is not perfectly precise. The distribution of the contents is normal with standard deviation of 3 ml. A student who suspects that the bottler is under-filling measures the contents of six bottles. The results are:299.4 297.7 301.0 298.9 300.2 297.0Is this convincing evidence that the mean contents of cola bottles is less than the advertised300 ml? Test at the 5% significance level.
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

No because there is sufficient statistical evidence to suggest that the mean contents of cola bottles is equal to 300 ml as advertised

Step-by-step explanation:

Here we have the measured contents as

299.4

297.7

301.0

298.9

300.2

297.0

Total = 1794.2

∴ Mean = 299.03

Standard deviation = 1.5

We have

z=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}

Where:

\bar x = Mean of sample = 299.03 ml

μ = Mean of population = 300 ml

σ = Standard deviation of population = 3 ml

n = Sample size = 6

α = 5% = 0.05

We set our null hypothesis as H₀ = 300 ml

Our alternative hypothesis is then Hₐ < 300 ml

Therefore,  z = -0.792

The probability from z table is P = 0.2142

Since the P value, 0.2142 is > than the 5% significance level, 0.05 we accept the null hypothesis that the mean contents of cola bottles is 300 ml.

You might be interested in
Find the angle of cd round to the nearest tenth
ololo11 [35]
Answer:
14.1
Step-by-step explanation:

6 0
2 years ago
There were 99 tulips in the field. Only 3/9 bloomed. How many tulips bloomed? How many did not bloom?
Ratling [72]

Answer: 33 tulips bloomed / 66 tulips did not bloom

Step-by-step explanation:

<h2>Given:</h2>

Total number of tulips = 99

Total number of tulips bloomed = 3/9 of total

<h2>Solve:</h2>

Step One: Find the number of tulips that bloomed

99 × (3/9) = 99 × (1/3) = 33 tulips

Step Two: Find the number of tulips that did not bloom

99 - 33 = 66 tulips

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
At an ice cream store, $20 is enough to buy 5 cones and 5 sundaes. or, $20 can buy 4 sundaes, 6 cones and there would be 80 cent
satela [25.4K]
There will not be 80 cents left over
3 0
3 years ago
Solve the following inequality for y.<br> 18x + 6y &gt; 12
Murljashka [212]

Answer:

12

Step-by-step explanation:

Simplifying

18x + -6y = 12

Solving

18x + -6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

18x + -6y + 6y = 12 + 6y

Combine like terms: -6y + 6y = 0

18x + 0 = 12 + 6y

18x = 12 + 6y

Divide each side by '18'.

x = 0.6666666667 + 0.3333333333y

Simplifying

x = 0.6666666667 + 0.3333333333y

3 0
3 years ago
What is the answer ?
mina [271]

Answer:

1)x=15

2)x=38

3)x=7

4)x=10

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Each student in a course needs to submit 3 lab assignments and take 2 tests. Design a program to do the following. Ask the user
    9·1 answer
  • a crate containing bags of dog food weighs 340 pounds.after one bag is added the crate weighs 350 pounds how many pounds does ea
    12·1 answer
  • This doctor has the right to assist this patient because
    15·1 answer
  • A bunch of basil cost 1.99 and a bunch of organic basil cost $ 2.50. If Jean wants to buy two bunches of organic basil, how much
    14·2 answers
  • What is the quotient of -1/8 and - 1/3
    11·1 answer
  • you are hosting a dinner party tonight and you forget to put the soda bottle into the refrigerator so take a bottle of soda at r
    9·2 answers
  • sarah thinks of a positive number she calculates that the square of the number is 256 what is the square rootof the number​
    12·1 answer
  • Mr. Gardner is making 6 treat bags.He has 185 chocolate covered raisins to share evenly among the treat bags.
    14·1 answer
  • It’s very urgent pppppllllllzzzzzzzz<br> Help!!!❤️<br><br> Thkk
    6·1 answer
  • Find the measure of the given Angles show work.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!