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Zielflug [23.3K]
2 years ago
12

Help!! Below, the two-way table is given for a class of students. Brainliest!!

Mathematics
1 answer:
UNO [17]2 years ago
6 0
hey can you give options?
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Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random
Fudgin [204]

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

<em>Let </em>\bar X<em> = sample mean</em>

The z-score probability distribution for sample mean is given by;

               Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = $50,000

            \sigma = population standard deviation = $25,000

            n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P(\bar X > $52,000)

  P(\bar X > $52,000) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } } ) = P(Z > 2.53) = 1 - P(Z \leq 2.53)

                                                                    = 1 - 0.9943 = 0.0057

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.</em>

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

5 0
2 years ago
Pls help <br> What is side AC
Maslowich

Answer:

tan●=opposite/adjacent

tan70=AC/3

AC=3tan70

AC=8.24

4 0
2 years ago
Find the sum 18,997.9 + 421.19
Igoryamba

Answer:

19,419.09

Step-by-step explanation:

5 0
2 years ago
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You earn a 90% on his science test you answer 18 questions correctly how many questions were on the test
Bogdan [553]
Hello there!

The correct answer is 20.

Hope This Helps You!
Good Luck :)
8 0
3 years ago
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(9 – 6i) × m = 9 – 6i What is m?
Ann [662]
M is equal to 1



good luck
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3 years ago
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