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iren2701 [21]
4 years ago
15

In a random sample of 88 ​people, the mean commute time to work was 36.536.5 minutes and the standard deviation was 7.47.4 minut

es. A 9898​% confidence interval using the​ t-distribution was calculated to be (28.7 comma 44.3 )(28.7,44.3). After researching commute times to​ work, it was found that the population standard deviation is 8.68.6 minutes. Find the margin of error and construct a 9898​% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.
Mathematics
1 answer:
Setler [38]4 years ago
4 0
<h2>Answer with explanation:</h2>

As per given , we have

n= 88

\overline{x}=36.5\text{ minutes}

Population standard deviation : \sigma=8.6\text{ minutes}

Critical value for 98% confidence interval : z_{\alpha/2}=2.33n

Margin of error : E=z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

={2.33}\dfrac{8.6}{\sqrt{88}}\\\\=2.13605797717\approx2.14

98% confidence interval : 36.5\pm 2.14

(36.5-2.14,\ 36.5+2.14)=(34.36,\ 38.64)

The 98% confidence interval (34.36, 38.64) found by normal distribution with the appropriate calculations for a standard deviation that is known is narrower than the interval (28.7,44.3) found by the t-distribution (population standard deviation is unknown) .

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3 years ago
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. If ON = 4x – 6, LM = 3x + 5, NM = x – 4, and OL = 4y – 3, find the values of x and y for which LMNO must be a parallelogram.
Verizon [17]
In a parallelogram, opposite sides are congruent.

This means that
LM = ON
NM = OL

Using the equations, find x and y:
4x - 6 = 3x + 5
4x = 3x + 11
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x = 11

x - 4 = 4y - 3
x - 1 = 4y
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The values are:
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5 0
4 years ago
This is geometry plz
Sergio039 [100]

Answer:

Step-by-step explanation:

a line parallel to the equation would have the same slope (7/8)

so what we know so far is

y = 7/8x + b

since it has to go through point C (-4, 8)

we’ll plug in those values for x and y (x = -4, y = 8)

8 = 7/8(-4) + b

8 = -28/8 + b

8 = -3.5 + b

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so the equation is

y = 7/8x + 11.5

7 0
3 years ago
Lorenzo ate 25 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represent
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Answer:

(x - 25) / 4

Step-by-step explanation:

In this scenario, we have one unknown variable which is the total of the bag of almonds, therefore we can represent this with the variable x. Since Lorenzo ate 25 of this bag we would need to subtract this from the total of the bag. Then we need to divide the remainder by 4 since each of his friends ate the rest in equal parts. This would leave us with the following expression ...

(x - 25) / 4

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3 years ago
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egoroff_w [7]
The answer is 3/10


Explaintion
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3 years ago
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