Mathematics, 06.05.2020 02:22 mruffier6239

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 23 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized

Answers: 2

Show answers

Answers

Answer from: spobyyy

A standard deviation is a measure of how dispersed the data is in relation to the mean.

The students have to score 0.74 standard deviations above the mean to be publicly recognized.

A normal distribution is the proper term for a probability bell curve. In a normal distribution the mean is zero and the standard deviation is 1. It has zero skew and a kurtosis of 3.

Let X represent that students who score in the top 23 % and recognized publicly.

We know that, $z=\frac{x-\mu}{\sigma}$ , where $\mu$ is mean and $\sigma$ is standard deviation.

$P(Xx)=0.23\\\\P(Zz)=0.23\\\\1-P(Z$

In the z - table, value of z corresponding to probability 0.77 is 0.74.

Thus, the students have to score 0.74 standard deviations above the mean to be publicly recognized.

Learn more:

link

High school students across the nation compete in a financial capability challenge each year by taki

Answer from: mkim2290

The students have to score 0.74 standard deviations above the mean to be publicly recognized.

Step-by-step explanation:

A random variable X is said to have a normal distribution with parameters µ (mean) and σ² (variance).

If $X \sim N (\mu, \sigma^{2})$ , then $z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

The distribution of these z-scores is known as the standard normal distribution.

The z-score is a standardized form of the raw score, X. It is a numerical measurement of the relationship between a value (X) and the mean (µ) in terms of the standard deviation (σ). A z-score of -1 implies that the data value is 1 standard deviation below the mean. And a z-score of 1 implies that the data value is 1 standard deviation above the mean.

Let X be defined as the scores of students at the National Financial Capability Challenge Exam.

It is provided that the students who score in the top 23% are recognized publicly for their achievement by the Department of the Treasury.

That is, P (X > x) = 0.23.

⇒ $P(\frac{X-\mu}{\sigma}\frac{x-\mu}{\sigma})=0.23$

⇒

$P(Zz)=0.23\\1-P(Z$

The value of z for this probability value is:

z = 0.74.

*Use a z-table.

Thus, the students have to score 0.74 standard deviations above the mean to be publicly recognized.

Answer from: Quest

figure c

step-by-step explanation:

hope this .

Wich of these figures represents a line ?

Answer from: Quest

a c

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Is each relation a function? if so, state whether it is one-to-one or many-to-one. 3. (-4,7), (-3,5), (1,4), (3,-8), (5,-11) 4. (-4,8), (-2,4), (0,1), (2,4), (4,8) 5. (-2, 1), (-2,3), (0,-3), (1,4), (3,1)

Answers: 3

Answer

Mathematics, 21.06.2019 18:50

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

The measures of the legs of a right triangle are 15m and 20m . what is the length of the hypotenuse

Answers: 1

Answer

Mathematics, 22.06.2019 01:20

The domain of the following relation: r: {(3, 5), (8, 6), (2, 1), (8, 6)} is (1 point) no domain exists {1, 5, 6} {3, 8, 2, 8} {2, 3, 8}

Answers: 2

Answer

You know the right answer?

High school students across the nation compete in a financial capability challenge each year by taki...