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sveticcg [70]
3 years ago
5

To determine the wind speed in a certain location, 40 samples are taken in a limited period of time. The average value of the me

asurements is 30 miles per hour, and the standard deviation of the sample is 2 miles per hour. Determine a 95% confidence interval for the mean value of the wind speed.
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer: 95% confidence interval is (29.38, 30.62).

Step-by-step explanation:

Since we have given that

n = Sample size = 40

Average value = 30 miles per hour

Standard deviation = 2 miles per hour

We need to find the interval for 95% confidence interval.

So, z = 1.96

So, the intervals would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=30\pm 1.96\times \dfrac{2}{\sqrt{40}}\\\\=30\pm 0.62\\\\=(30-0.62,30+0.62)\\\\=(29.38,30.62)

Hence, 95% confidence interval is (29.38, 30.62).

You might be interested in
If a line has a slope of 9/5. If one of the points on the line is (-10, -16), which could be another point?
zlopas [31]

Answer:

(–5, –7)

Step-by-step explanation:

From the question given above, the following data were obtained:

Slope = 9/5

Coordinate 1 = (–10, –16)

x₁ = –10

y₁ = –16

Coordinate 2 = (x₂, y₂)

Next, we shall determine the change in x and y coordinate. This can be obtained as follow:

Slope = change in y–coordinate / change in x–coordinate

Slope = Δy / Δx

Slope = 9/5

9/5 = Δy / Δx

Thus,

Δy = 9

Δx = 5

Next, we shall determine the second coordinates as follow:

Δy = y₂ – y₁

Δx = x₂ – x₁

For x–coordinate:

x₁ = –10

Δx = 5

Δx = x₂ – x₁

5 = x₂ – (–10)

5 = x₂ + 10

Collect like terms

x₂ = 5 – 10

x₂ = – 5

For y–coordinate:

y₁ = –16

Δy = 9

Δy = y₂ – y₁

9 = y₂ – (–16)

9 = y₂ + 16

Collect like terms

y₂ = 9 – 16

y₂ = – 7

Coordinate 2 = (x₂, y₂)

Coordinate 2 = (–5, –7)

6 0
3 years ago
Does anybody <br> know the answer
nordsb [41]

1. Part 14/25
Total .56
Percent56%
2. 16/20
Total. .8
Percent 80%
3. 11/20 55%
4. 40
5. 300%
6. 140
4 0
3 years ago
Read 2 more answers
A bus traveled on a level road for 4 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. T
Kruka [31]

To solve this problem, we must recall that the formula for velocity assuming linear motion:

v = d / t

Where,

v = velocity

d = distance

t = time

 

For condition 1: bus travelling on a level road

v1 = d1 / t1

<span>(v2 + 20) = (449 – d2) / 4                        --->1</span>

 

For condition 2: bus travelling on a winding road

v2 = d2 / t2

<span>v2 = d2 / 5                                            --->2</span>

 

Combining equations 1 and 2:

(d2 / 5) + 20 = (449 – d2) / 4

0.8 d2 + 80 = 449 – d2

1.8 d2 = 369

d2 = 205 miles

 

Using equation 2, find for v2:

v2 = 205 / 5

v2 = 41 mph

 

Since v1 = v2 + 20

v1 = 41 + 20

v1 = 61 mph

 

Therefore <span>the average speed on the level road is 61 mph.</span>

4 0
4 years ago
What’s the answer???
serg [7]
2=6
3=9
9=27

You just times the number in box X three times
5 0
4 years ago
Alicia's goal is to have $30 in her account. she starts with $24.50
alukav5142 [94]
I don't know the rest of the question but 
$4.50 is looking good!!
3 0
3 years ago
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