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vitfil [10]
3 years ago
11

If n=28, ¯ x (x-bar)=50, and s=5, construct a confidence interval at a 99% confidence level. Assume the data came from a normall

y distributed population. Give your answers to one decimal place.
Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that

n=28, ¯ x (x-bar)=50, and s=5

Here only sample std deviation is known, hence we can use only t critical value

df =n-1 =27

t critical = 2.05

Margin of error = 2.05 *\frac{s}{\sqrt{n} } \\=1.937

Confidence interval = 28±1.937

=(26.1, 29,9)

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a) Saturn is 9.1 * 10^8 miles from the sun and earth is 9.3 * 10^7 miles from the sun. By what distance is one planet closer to
Sonbull [250]

Answer:

8.17 * 10^8

Step-by-step explanation:

Saturn is 9.1 * 10^8 miles from the sun, and earth is 9.3 * 10^7 miles from the sun. From this, we can see that Saturn is much farther from the sun than the earth.

To find the distance of one planet closer to the sun than the other planet, we can subtract 9.3 * 10^7 from 9.1 * 10^8.

Original expression: 9.1 * 10^8 - 9.3 * 10^7

Convert both sides to 10^7: 91 * 10^7 - 9.3 * 10^7

Subtract: 81.7 * 10^7

Simplify: 8.17 * 10^8

Let me know if this helps!

6 0
2 years ago
The mean and the median are the same.<br> 2,3,4,5
Ber [7]

Step-by-step explanation:

mean \: ( \bar  x) =  \frac{2 + 3 + 4 + 5}{4}  =  \frac{14}{4}  = 3.5 \\  \\ median \: =  \frac{3 + 4 }{2}  =  \frac{7}{4}  = 3.5 \\  \\

Thus, mean and median are same.

7 0
3 years ago
Find a fration or mixed number that is between -3 1/4 and -3 1/8
Alenkinab [10]
A fraction could be -3 1/6
8 0
3 years ago
134 A financial analyst believes that if interest rates decrease in a given period then the
lawyer [7]

The probability that the market will go up and interest rate will go down during the period in question is 0.03.

<h3>What is the probability?</h3>

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the market will go up and interest rate will go down  = 0.08 X 0.40 = 0.03

To learn more about probability, please check: brainly.com/question/13234031

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5 0
2 years ago
Find the center of the circle whose equation is x² + y² = 4.
Varvara68 [4.7K]

Answer:

The center of circle is (0,0)

Step-by-step explanation:

We need to find the center of the circle of the equation x^{2}+y^{2}=4

Since, the general equation of circle is (x-h)^{2}+(y-k)^{2} = r^{2}

Where (h,k) is center of circle and r is radius.

Re-write the circle equation is x^{2}+y^{2}=4 as,

x^{2}+y^{2}=2^{2}

Compare x^{2}+y^{2}=2^{2} with (x-h)^{2}+(y-k)^{2} = r^{2}

so, (x-0)^{2}+(y-0)^{2} = 2^{2}

Hence, the center of circle is (0,0)

4 0
2 years ago
Read 2 more answers
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