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goblinko [34]
2 years ago
12

Two​ researchers, Jaime and​ Mariya, are each constructing confidence intervals for the proportion of a population who is​ left-

handed. They find the point estimate is 0.12. Each independently constructed a confidence interval based on the point​ estimate, but​ Jaime's interval has a lower bound of 0.078 and an upper bound of 0.193​, while​ Mariya's interval has a lower bound of 0.051 and an upper bound of 0.189. Which interval is​ wrong? Why?
Mathematics
1 answer:
soldi70 [24.7K]2 years ago
4 0

Answer:

Jaime's. Interval not centered around the point estimate.

Step-by-step explanation:

When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.

For Jaime's interval

Lower bound = 0.078

Upper Bound = 0.193

Central = \frac{0.078+0.193}{2} =0.1355

For Mariya's interval

Lower bound = 0.051

Upper Bound = 0.189

Central = \frac{0.051+0.189}{2} =0.12

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.

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A web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the
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answer

240 standard versions

set up equations

s = number of standard versions

h = number of high quality versions

the total size of all standard versions would be 2.3s since each standard version is 2.3 MB

the total size of all high quality versions would be 4.4h since each standard version is 4.4 MB

add them together to get the total size (2664 MB) of all versions

2664 = 2.3s + 4.4h

since the high quality version was downloaded twice as often as the standard, we can say that

h = 2s

substitute h into equation and solve

2664 = 2.3s + 4.4h

h = 2s

2664 = 2.3s + 4.4(2s)

2664 = 2.3s + 8.8s

2664 = 11.1s

s = 2664/11.1

s = 240

7 0
3 years ago
the sum of four times the first number and three times the second number is 15. the difference of three times the first number a
Nana76 [90]

Hey there!

Let's create a systems of equations using x and y.

4x+3y=15

3x-2y=7

We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.

2 2/3x+2y=10

3x-2y=7

Now we combine the equations...

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Now we can plug our x into the first equation to find y.

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Our numbers are 3 and 1.

I hope this helps!

3 0
3 years ago
Show all possible arrangements of the letters in the word FRED using a tree diagram. If each of the letters is on a tile and dra
Tanzania [10]

Answer:

24

Step-by-step explanation:

F R E D

F R D E

F E R D

F E D R

F D E R

F D R E

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4 0
2 years ago
What is the value of x 3x 2x 55
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Answer:

25

Step-by-step explanation:

3x+2x+55=180

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The first two terms of an arithmetic sequences are 7 and 3.
Katyanochek1 [597]

Answer:

1.1.1) -61

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Step-by-step explanation:

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You can now take this general rule to find out the other terms.

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3 0
2 years ago
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