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
-BARSIC- [3]
3 years ago
6

A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

g contains exactly the same weight. But if more than 15% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 100 bags and finds that 21 of them are over-filled. He plans to test the hypotheses H 0: p = 0.15 versus H a : p > 0.15. What is the test statistic?
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

You might be interested in
⚠️⚠️please answer⚠️⚠️
Maurinko [17]

Answer:

The slope is -3/4 and the y-intercept is 1.

Step-by-step explanation:

B is the point where the line cross the y-axis, or vertical axis. Slope is the steepness of the line. Determined by rise over run. When the slope goes down 3 units, the slope goes to the right 4 units.

6 0
3 years ago
Read 2 more answers
If 20 articles cost ? 90, then the cost of 9 articles is ?<br> ? 45<br> ? 4.50<br> ? 40.50<br> ? 42
lapo4ka [179]

Answer:

40.50 is correct answer according to me

5 0
3 years ago
The number of text messages sent daily by a student is a poisson random variable with parameter λ=5 .in a class with 20 independ
Rudik [331]
This problem is a combination of the Poisson distribution and binomial distribution.

First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961

For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5)   or approximately
=0.00006181
7 0
3 years ago
Last year, 85% of students participated in the school fundraiser. Using this data, what would be the BEST prediction of how many
SpyIntel [72]

Answer:

C. 272

Step-by-step explanation:

Since we know 85% of the students participated last year we can assume the same amount will participate this year so to find the answer you simply do the total number of students (320) multiplied by 85% or .85 to get the best guess of how many students will participate this year.

8 0
2 years ago
Read 2 more answers
Point E is between points D and F. If DE = x − 2, EF = 6x + 4, and DF = 8x − 2, find x
Arlecino [84]
DE + EF = DF

x - 2 + 6x + 4 = 8x - 2
7x + 2 = 8x - 2
2 + 2 = 8x - 7x
4 = x <===
3 0
3 years ago
Other questions:
  • PLEASE ANSWER PICTURE SHOWN
    6·1 answer
  • Joey drives a golf cart when he needs to monitor the security of his neighborhood. He can cover the 40 miles of streets in his n
    15·2 answers
  • A line has a slope of -5 and passes through (1,-1).which is the equation of the line in point - slope form?
    9·2 answers
  • Which of the interpretation for given expression is correct? 5(3x - 4)2
    8·2 answers
  • a tray is fill with several 500g bags of apples. the tray holds 8 kg in total. 5 bags of apples are sold .how many is left on th
    13·1 answer
  • The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and
    14·1 answer
  • Write variable expression: b minus the quotient of c and a
    8·1 answer
  • 2(5x-7)=2x+10 what Is the distributive property
    15·1 answer
  • What is 16kg +2,800g
    10·1 answer
  • In the year 2008, a person bought a new car for $26500. For each consecutive year
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!