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spin [16.1K]
3 years ago
10

uppose germination periods, in days, for grass seed are normally distributed and have a known population standard deviation of 2

days and an unknown population mean. A random sample of 22 types of grass seed is taken and gives a sample mean of 46 days. Find the error bound (EBM) of the confidence interval with a 90% confidence level. Round your answer to THREE decimal places.
Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer: 0.701

Step-by-step explanation:

Formula :  EBM =z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}} , where \alpha= significance level , \sigma = Population standard deviation, n= sample size.

As per given,  n= 22

\sigma = 2

Critical z- value for 90% confidence level : z_{\alpha/2}=1.645

Then,

 EBM =(1.645)\dfrac{2}{\sqrt{22}}\\\\=(1.645)\dfrac{2}{4.690416}\\\\\approx0.701

Hence ,  error bound (EBM) of the confidence interval with a 90% confidence level= ± 0.701

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A student ran out of time on a multiple choice exam and randomly guessed the answers for 2 problems. Each problem had 5 answer c
frozen [14]
So if there are 5 choices and only one is correct, there is a 1/5 chance of being correct. since there was 2 questions, you need to multiply 1/5 by 1/5 to get 2/25 of getting both questions correct.

i hope this helps!!
3 0
3 years ago
Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
I’d appreciate the help!
Elis [28]

Answer:

\displaystyle 1\frac{119}{250}\:liter

\displaystyle 7,5\:sleps

\displaystyle 37,3\:sleps

Step-by-step explanation:

\displaystyle 1\frac{119}{250} = \frac{1476}{1000}

\displaystyle 1\frac{1}{13} \times 7 = 7\frac{7}{13} ≈ 7,538461538 ≈ 7,5

\displaystyle \frac{41}{1\frac{1}{10}} = 37\frac{3}{11} ≈ 37,3

I am joyous to assist you anytime.

4 0
3 years ago
If 18 inches is equal to 1 1/2, how many feet long is a 36-inch board?
Illusion [34]
36 inches is equal to 3 feet ;)
8 0
3 years ago
The law of detachment can be used to draw a conclusion from the following statements: "It will be sunny on Tuesday." "I will alw
algol [13]
This is basically just saying you'll go outside Tuesday because it's sunny. Sunny weather is nice weather.
8 0
3 years ago
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