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Kazeer [188]
3 years ago
11

A contract between a manufacturer and a consumer of light bulbs specifies that the mean lifetime of the bulbs must be at least 1

000 hours. As part of the quality assurance program, the manufacturer will institute an inspection program for each day's production of 10,000 units. An ordinary testing procedure is difficult since 1000 hours is over 41 days! Since the lifetime of a bulb decreases as the voltage applied increases, a common procedure is to perform an accelerated lifetime test in which the bulbs are lit using 400 volts (compared to the usual 110 volts). At such a voltage, a 1000-hour bulb is expected to last only 3 hours. This is a well-known procedure, and both sides have agreed that the results from the accelerated test will be a valid indicator of lifetime of the bulb.
The manufacturer will test the hypotheses H0 : µ = 3 versus Ha: µ < 3 at the α = 0.01 significance level with a simple random sample of 100 bulbs.

a. Describe what a Type I error would be in this context.
b. Describe what a Type II error would be in this context.
c. Which error—Type I or Type II—is likely to do more damage to the manufacturer’s relationship with the consumer? Explain.
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

In point a:

In this sense, describe what type of error I will be.

Type I error: to conclude that perhaps the mean bulb life would be less than three hours when it becomes (at least) 3 hours.

In point b:

Describe throughout this context what the Type II error becomes.

An error of type II: never assuming that its bulbs' mean lifetime is much less than 3 hours. three hours at least

In point c:

What error — type I and type II — would further impact the interaction between the manufacturer and the customer?

A Type II error is probably further problematic because it means that even the buyer will buy bulbs that do not last long.

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1. A notebook costs $5 more than a folder. Greg purchased 3 notebooks and 2 folders and paid a total cost $30. What is the cost
stiv31 [10]
Answer
Notebook each =$4
Folder each = $9

First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30

Because we know from the first equation
f=n+5, we can substitute that into the second equation for f

3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4

Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9


We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
8 0
1 year ago
Which equation represents a parabola that opens upward has a minimum at x=3 and has a line of symmetry at x=3
umka2103 [35]

Answer:

y=x^2-6x+5

Step-by-step explanation:

Let us consider the equation y=x^2-6x+5

For a quadratic equation in a standard form, y=ax^2+bx+c, the axis of symmetry is the vertical line x = \frac{-b}{2a}.

Here in this case we have, a=1, b=-6 , c =5

Putting the values we get,

x = \frac{-(-6)}{2\times 1} = \frac{6}{2} =3

We can see that the axis of symmetry is x=3 and the graph is giving minimum at x=3.

Therefore, the required equation is y=x^2-6x+5. Refer the image attached.


4 0
3 years ago
Read 2 more answers
Hippalectryon
FrozenT [24]
Add the who numbers: 4 + 2 = 6

You are correct, it's C. 6
8 0
3 years ago
A real estate agent needs to estimate the average value of a residential property of a given size in a certain area. The real es
alexira [117]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

95 \% \ the confidence level for z:

\alpha = 1 - 95 \% \\\\

   = 1 - 0.95 \\\\        = 0.05

\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \  \frac{\alpha}{2} = Z_{0.025} = 1.96

Calculating the Margin of error:

E =   Z\  \frac{\alpha}{2}  \times ( \frac{\sigma}{\sqrt{n}})

   = 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980

The population means estimate a 95 % confidence interval is:

\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980

5 0
3 years ago
The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t repres
dimulka [17.4K]

As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.

Therefore to find the population of Italy in the year 2000 (t = 10 years)  substitute t = 10 in the equation and have:

p = 56.8e^{0.0015*10}\\

p=57.6584 million people

To find the population of Italy in 2008 (t = 18 years)

substitute t = 18 in the equation and have:

p=56.8e ^{0.0015*18}\\

p=58.3545 million people


To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30

t = 25

p=56.8e^{0.0015*25}

p=58.9704 million people


 t = 30

p=56.8e^{0.0015*30}

p=59.4144 million people

8 0
2 years ago
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