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
Please help me i would appreciate it
Zielflug [23.3K]

Answer: oh gosh,  rlly bad at math...  let me do the maths quick, and will edit my answer to the correct answer i dont  have enough time, -7a+11

Step-by-step explanation:

4 0
2 years ago
Mrs.Brooke used a pack of green beans to make 12 bowls of green bean soup.If the made 84 bowls of soup, how many packs of green
Bess [88]

Answer:

7

Step-by-step explanation:

If each pack of green beans makes 12 bowls of soup then it would take 7 packs to make 84. 84/12=7

8 0
3 years ago
In which of the following cases is productive efficiency not satisfied? Assume we start at a point on the PPF between two produc
DaniilM [7]

Answer:

A. The economy switches to producing less of one product without increasing the production of the other product

Step-by-step explanation:

PPC is the graphical representation of product combinations that an economy can produce, given resources & technology. It is downward sloping because given resources & technology, production of a good can be increased  by decreasing production of other good.

It is based on assumption that resources are efficiently utilised. Points on PPC show resources efficient utilisation, Points under PPC show under utilisation, Points outside PPC are beyond country's productive capacity.

If country produces less of a good without increasing production of other goods, implying wasted resources & production below PPC. This case doesn't satisfy productive efficiency

Other cases : Producing more of a good & less of other is just re allocative movement on the PPC itself. Production point at PPF intersection with either axis implies economy is producing only the good on that axis.

In all the cases except A. satisfy the 'productive efficiency'

3 0
3 years ago
Jack is organizing his shots he has 20 pair of socks there are seven pair of black socks eight pair of blue socks and the rest o
katovenus [111]
20 - 7 = 13

8 - 13 = 5

13 + 5 = 18

20 - 18 = 2

So two is your answer because.....

13 + 5 + 2 = 20
8 0
3 years ago
50 points please help me
skelet666 [1.2K]

Answer:

0

Step-by-step explanation:

The slope of the line is 0 as it is parallel to x-axis.

Slope = (y2 - y1)/(x2 - x1)

= (2-2)/(4-(-2))

= 0

8 0
2 years ago
Read 2 more answers
Other questions:
  • ms.lu is adding a new room to her house. The room will be a cube with volume 4,913 cubic feet. What is the length of the new roo
    9·2 answers
  • Make r as a subject - v=nr2h
    5·1 answer
  • What number has the same absolute value as -5 1/3
    14·2 answers
  • Is the function linear or nonlinear?
    10·1 answer
  • Explain why you should récord a 1 in the tens columna when you regroup in addition problem
    6·1 answer
  • Review the graph of g(x).
    9·1 answer
  • HELP PLEASE!!!!dont answer just for points:(
    11·1 answer
  • /6/ - /-2/ help quick please
    8·1 answer
  • Evaluate x(–y + z) for x = 3, y = 3, and z = 1.
    6·2 answers
  • Solve this equation: -7.2 + 12 - 2.c
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!