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
irakobra [83]
3 years ago
8

An important problem in industry is shipment damage. A pottery producing company ships its product by truck and determines that

it cannot meet its profit expectations if, on average, the number of damaged items per truckload is greater than 11. A random sample of 15 departing truckloads is selected at the delivery point and the average number of damaged items per truckload is calculated to be 11.3 with a calculated sample of variance of 0.64. Select a 90% confidence interval for the true mean of damaged items.a) [10.68, 11.92]b) [10.64, 11.36]c) [53.67, -33.86]d) [-0.3635, 0.3635]e) [10.94, 11.66]
Mathematics
1 answer:
Veronika [31]3 years ago
5 0

Answer:

e) (10.94, 11.66)

Step-by-step explanation:

We have a small sample size of n = 15 departing truck loads (we suppose that the sample comes from a normal distribution), the average number of damaged items per truck load is calculated to be \bar{x} = 11.3 with a calculated sample variance s^2 = 0.64. The 90% confidence interval for the true mean of damaged items is given by \bar{x}\pm t_{\alpha/2}(\frac{s}{\sqrt{n}}) where t_{\alpha/2} is the \alpha/2th quantile of the t distribution with n - 1 = 14 degrees of freedom.  

As we want the 90% confidence interval, we have that \alpha = 0.1 and the confidence interval is 11.3\pm t_{0.05}(\frac{0.8}{\sqrt{15}}) where t_{0.05} = -1.7613. Then, we have 11.3\pm (-1.7613)(\frac{0.8}{\sqrt{15}}) and the 90% confidence interval is given by (10.94, 11.66)

You might be interested in
Which relation is a function?<br> Question 3 options:
EleoNora [17]

Answer:

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

I hope it's helpful!

8 0
3 years ago
Read 2 more answers
A ball is thrown into the air from the roof of a building that is 25
guapka [62]

See https://web2.0calc.com/questions/help_29603.

6 0
3 years ago
Teresa graphs the following 33 equations: y=2xy=2x, y=x2+2y=x2+2, and y=2x2y=2x2. She says that the graph of y=2xy=2x will event
Neko [114]
The correct question is 
<span>Teresa graphs the following 3 equations: y=2x, y=x2+2, and y=2x2. She says that the graph of y=2x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not?

we have that
y=2x
y=x</span>²+2
y=2x²

using a graph tool
see the attached figure

<span>We can affirm the following
</span>the three graphs present the same domain-----> the interval (-∞,∞)

The range of the graph y=2x  is the interval (-∞,∞)

The range of the graphs y=x²+2 and y=2x² is the interval [0,∞)

therefore
<span>Teresa is not correct because the graph of y = 2x will not surpass the other two graphs since in the interval of [0, infinite) the three graphs present the same range</span>

3 0
3 years ago
Which proportion can be used to show that the slope of JL is equal to the slope of MP
Ilya [14]

Answer:

See below and attached

Step-by-step explanation:

<u>As per the graph we have:</u>

  • Coordinates of JL are J(-7, 4), L(-4, 0)
  • Coordinates of MP are M(-10, 8), P(-1, -4)

<u>Slope formula is:</u>

  • m = (y₂ - y₁)/(x₂ - x₁)

<u>Slope of JL:</u>

  • (0 - 4)/(-4-(-7)) = - 4 / 3

<u>Slope of MP:</u>

  • (-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3

5 0
3 years ago
L'Airbus A380 consomme approximativement 15 600 litres de kérosène à
sasho [114]

Answer:

7 800 pour 1/2 heure

Step-by-step explanation:

15 600/2=7 800

7 0
2 years ago
Other questions:
  • What is the sum of the sequence 1+3+5+7+...+99<br> Use Gauss's approach to find the following sum.
    15·1 answer
  • What does it mean when two things are opposites?
    10·2 answers
  • Find the the simplest form of 325/1000
    15·2 answers
  • Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th
    15·2 answers
  • When you use deg. rad. and grad on a calculator, what does it mean?
    8·1 answer
  • you have 6 apples at your house. if you want to pack 3 apple s for a road trip, in how many different combination could you pack
    12·2 answers
  • Which line is parallel to y=-4x+3?
    12·2 answers
  • Please help will mark you as brainliest​
    13·2 answers
  • A bag contains 5 red marbles, 6 blue marbles and 9 yellow marbles.
    8·1 answer
  • You plant flowers in your garden and only 75% of them sprout how many can you predict to sprout if you plant 20 seeds?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!