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
wel
2 years ago
15

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting. It is

believed that the machine is underfilling the bags. A 41 bag sample had a mean of 440 grams with a variance of 441. Assume the population is normally distributed. A level of significance of 0.05 will be used. Specify the type of hypothesis test.
Mathematics
1 answer:
ankoles [38]2 years ago
6 0

Answer:

The null hypothesis is H_0: \mu = 444

The alternative hypothesis is H_1: \mu < 444

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting.

At the null hypothesis, we test if the machine works correctly, that is, the mean is of 444. So

H_0: \mu = 444

At the alternative hypothesis, we test if they are underfilling, that is, if the mean is of less than 444. So

H_1: \mu < 444

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

444 is tested at the null hypothesis:

This means that \mu = 444

A 41 bag sample had a mean of 440 grams with a variance of 441.

This means that n = 41, X = 440, s = \sqrt{441} = 21

Value of the test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{440 - 444}{\frac{21}{\sqrt{41}}}

t = -1.22

P-value of the test:

Right-tailed test(test if the mean is less than a value), with 41 - 1 = 40 df and t = -1.22.

Using a t-distribution calculator, this p-value is of 0.1148

The p-value of the test is 0.1148 > 0.05, which means that the sample does not give enough evidence to conclude that the machine is underfilling the bags.

You might be interested in
A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i
Mashutka [201]

Answer:

t represents the time in minutes since the balloon started descending.

a(t) represents the altitude of the balloon at t minutes.

a(5.5) gives the altitude at 5.5 minutes.

8 0
3 years ago
Read 2 more answers
When an object falls freely, the formula for the distance it falls is d= 4.9t^2 where d is
german

Answer:

a) 122.5 m ; b) 10 s

Step-by-step explanation:

Just use the given equation and plug in what you know.

a)

d = 4.9t^2

d = 4.9(5^2)

d = 4.9 * 25

d = 122.5 m

b)

d = 4.9t^2

490 = 4.9t^2

100 = t^2

t = 10 s

3 0
3 years ago
Read 2 more answers
Sara bought a 25-ounce jar of strawberry jam for $4.50. What is the unit price?
fgiga [73]
$0.18 is the answer. How I got it was you do $4.50 over 25 ounces. Then divide the $4.50 by 25. You should get 0.18
7 0
3 years ago
Define democracy?Write any four key elements of democracy. Easy answer required.
umka21 [38]
Democracy: a system of government by the whole population or eligible members of state, typically through elected representatives

elements:
- equality
- accountability
- rule of law
- transparency
6 0
3 years ago
The volume is a rectangular prism is 7,200 cubic centimeters. It has a length of 24 centimeters and a width of 20 centimeters. W
Setler [38]
7,200 = (24)(20)h
15=h (just divide)
To check, 20*24*15 = 7,200 cubic centimeters so 15 cm is right
7 0
3 years ago
Read 2 more answers
Other questions:
  • If a axbxc=0, and a and b are integers greater than 10, what must c equal
    11·2 answers
  • How do I solve for x? What rule should I use when solving for x?
    5·1 answer
  • The student population at a university is currently 400. The expected annual rate of increase is predicted to be 0.02. What will
    7·1 answer
  • Jamima said that the vertex of the equation g(x)=-2(x+1)^2-4 is (-1,-4). is she correct?
    13·1 answer
  • 3y+6(3y-2) = 2(y-1)-7<br><br> solve for y , reduce answer to integer or fraction.
    10·2 answers
  • S. Your kitchen has a 9- foot ceiling. To the nearest half foot, what is
    11·1 answer
  • It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if
    9·1 answer
  • Find the slope of the equation: y = 2x + 5
    9·1 answer
  • What is 5^5 evaluated or to make it easier to understand if you don't know what 5^5 is then it means what is 5 to the power of 5
    7·2 answers
  • 767 runners entered a race. 305 more entered before the race started. How many runners are in the race? A 1072​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!