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FromTheMoon [43]
3 years ago
5

You have drawn a simple random sample of 36 college students, asking each student how much rent they pay per month. You obtain a

sample mean of 573 and a sample standard deviation of 22. Calculate the upper confidence limit of a 90% confidence interval for the population mean of rent paid. If necessary, round your answer to four decimal places. HINT: For a confidence interval of [a,b] we refer to "a" as the "lower confidence limit" and we refer to "b" as the "upper confidence limit". g
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

573-1.690\frac{22}{\sqrt{36}}=566.8033    

573+1.690\frac{22}{\sqrt{36}}=579.1967      

And the 90% confidence interval would be between [566.80 and 579.20]

Step-by-step explanation:

Information given

\bar X=573 represent the sample mean

\mu population mean (variable of interest)

s=22 represent the sample standard deviation

n=36 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=36-1=35

The Confidence level is 0.90 or 90%, the significance would be \alpha=0.1 and \alpha/2 =0.05, and the critical value for this case would be t_{\alpha/2}=1.690

And replacing we got:

573-1.690\frac{22}{\sqrt{36}}=566.8033    

573+1.690\frac{22}{\sqrt{36}}=579.1967    

And the 90% confidence interval would be between [566.8033 and 579.1967]

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The total cost of painting of four walls of a square hall at Rs. 40 per sq. m. is Rs. 12000. If the hall contains 600 m³ of air,
astra-53 [7]

Answer:

The height of the hall is 9.375 meters

Step-by-step explanation:

The rate at which the walls of the square hall are painted, R = Rs. 40 per sq. m.

The total cost of painting the square hall, C = Rs. 12,000

The volume of air contained in the hall, V = 600 m³

The surface area of the four walls of the hall, A = C/A

∴ A = Rs. 12,000/(Rs. 40/m²) = 300 m²

Let 's' represent the length of sides of the square hall, and let 'h' represent the height of the square wall, we have;

The volume of the hall, V = s² × h

The surface area of the wall, A = 4 × s × h

Therefore, we get;

A = 300 = 4 × s × h

V = 600 = s² × h

V/A = 600/300 = 2 = s² × h/(4 × s × h) = s/4

s/4 = 2

s = 4 × 2 = 8

The side length of the square hall, s = 8 m.

From the area, A = 4 × s × h, we get;

A = 300 = 4 × 8 × h

h = 300/(4 × 8) = 9.375

The height of the hall, h = 9.375 m.

8 0
3 years ago
SHOW YOUR WORK and ill give brainlest :)
Rashid [163]

The price of the Xbox One after tax is $265

<h3><u>Solution:</u></h3>

The price of a Xbox one is $250

The tax on Xbox one is 6%  

Now, the tax of 6% on 250 is calculated as follows:-

=\frac{6}{100} \times 250\\\\=\frac{250 \times 6}{100}=\frac{1500}{100}=15

So, the tax on Xbox one is $15

The total price of box including tax can be calculated by adding price of box and tax on box

<em>Total price of Xbox after tax = actual price of the Xbox One  + Tax on the Xbox One </em>

= $250 + $15

= $265

Hence, the price of the Xbox One after tax is $265

3 0
3 years ago
A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diamet
Paraphin [41]

Answer:

Step-by-step explanation:

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z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1

P( x greater than or equal to 2.75) = P(z greater than or equal to 1)

= 1 - p(z <1)

P(z<1) from table = 0.84134

1-p(z<1) = 0.15866 or 15.866%

4 0
3 years ago
(01.02 LC)Which of the following describes a function of a satellite? Helps scientists track weather Measures latitude and longi
Lana71 [14]

Answer:

A. Helps scientists track weather

Step-by-step explanation:

Have you seen those weather guys on TV showing clouds and stuff, they got them via satellite or at least if there are animations, those are possible because they can see what the clouds or other stuff look like via satellites.

4 0
2 years ago
I need help finding values of x,y,z. I want to know if there is an answer apart from 0, since that is what I need to find. Thank
vichka [17]

Answer:

They all equal zero

Step-by-step explanation:

A number cannot equal itself times any number that isn't zero, unless it itself is zero.

3 0
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