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MakcuM [25]
3 years ago
5

The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o

f the mean. He selects a random sample of 49 trucks passing the weighing station and finds the sample mean is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95 percent confidence interval for the population mean
Mathematics
1 answer:
kaheart [24]3 years ago
4 0

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

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36 моля колкото по бързо може формулата е (X÷2)÷(x×3)=305,4
bazaltina [42]

Answer:

Step-by-step explanation:

The quotient of two numbers is 305.4. Find the quotient if the divisor decreases 2 times and the divisor increases 3 times

x/y = 305.4

3x/(y/2) = 6x/y = 6*305.4 = 1832.4

Note that the question will be deleted soon because it is posted in a language other than English.

Обратите внимание, что вопрос будет удален в ближайшее время, потому что он размещен на языке, отличном от английского.

6 0
3 years ago
I need help with both of these someone please help me . you’ll get 20 brainly points !!
Orlov [11]

Answer:

First question: 42cm^2

Second question:

whole figure: 150 cm^2

blue part: 96cm^2

white part:54cm^2

Step-by-step explanation:

Lets do math:

look you gave me alot to do but lets go:

Question 1:

lets find the area of the whole rectangle without the parts taken away.

6*10-60

lets put that away for a little bit and move onto the empty space that we have to take away from the rectangle to get this shape.

im now going to subtract 2 from 10 to get 8. I did this to find out the a length

8*3=24

18 is the area of the shape that we have to subtract from the big rectangle

lets now take out the area we put away for a little while.

60-18=42

so 42 is the area of the first shape.

Question #2:

This problem needs multiple answers so lets get started.

first we need to find the area of the big rectangle.

10*15=150

lets put that away for a little bit.

now lets find the area of the little rectangle

6*9=54

to find the blue we have to subtract 54 from 150 which is 96

so now we have this:

area of the whole figure:150

area of the shaded rectangle inside (white): 54

area of the shaded rectangle (blue): 96

phew that was a lot of typing

the end

8 0
3 years ago
Celia uses 80% of her paycheck to pay her bills. Her bills total $272. How much is Celia paycheck?
Vanyuwa [196]

Step-by-step explanation:

It is 340 dollars in total, I do this in an ubcenventional way of dividing 272 by 80 which gave you 3.4 which is equal to one percent and then multiply that by 20 which is 68 and add that to the other 80 percent of her bill to get 340 dollars

6 0
3 years ago
I GIVE BRAINLILEST<br> //////////////////////////////////////
elena-s [515]

Answer:

answer is c makes sense because you just add 1.25 x 20

3 0
3 years ago
A weight clinic recorded the weight lost (in pounds) by each client of a weight control clinic during the last year, and got the
borishaifa [10]

Answer:

Class interval ____, Frequency _ C/frequency

1 - 10 ____________ 1 _________ 1

11 - 20 ___________ 4 _________ 5

20 - 30 __________ 6 _________ 11

31 - 40 ___________3 _________ 14

41 - 50 ___________ 1 _________ 15

51 - 60 ___________ 1 _________ 16

Step-by-step explanation:

Given the data :

35, 26, 31, 17, 46, 30, 28, 21, 26, 34, 15, 27, 7, 18, 16, 57

Class interval ____, Frequency _ C/frequency

1 - 10 ____________ 1 _________ 1

11 - 20 ___________ 4 _________ 5

20 - 30 __________ 6 _________ 11

31 - 40 ___________3 _________ 14

41 - 50 ___________ 1 _________ 15

51 - 60 ___________ 1 _________ 16

The next to highest frequency group has a frequency of 4 and the highest frequency of 6

Total frequency, n = (1 + 4 + 6 + 3 + 1 + 1) = 16

5 0
3 years ago
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