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Salsk061 [2.6K]
3 years ago
8

Evaluate 9P2- need to make a good grade

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0
81, if you mean 9 Squared.
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In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s
Oksi-84 [34.3K]

Answer:

a) \mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

b) From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

c) P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

P(Z\geq2.070)=1-P(Z

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

\mu_{\bar x} =\mu = 276.1

\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3

Part b

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)

Part c

For this case we want this probability:

P(\bar X \geq 285)

And we can use the z score defined as:

z=\frac{\bar x -\mu}{\sigma_{\bar x}}

And using this we got:

P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)

And using a calculator, excel or the normal standard table we have that:

P(Z\geq2.070)=1-P(Z

8 0
3 years ago
Factor each of the trinomials into 2 binomials<br> 1. x^2+2x-15<br> 2. 3x^2-11x+6
tresset_1 [31]

Answer:

1.) (x-3)(x+5)

2.) (3x-2)(x-3)

Step-by-step explanation:

6 0
2 years ago
Work out the volume of this hemisphere give your answer to 1 decimal place
Serggg [28]

Answer:

volume of hemisphere=2/3×pi×r³

volume of hemisphere=2/3×22/7×8³

volume of hemisphere = 1072.76cm³

3 0
3 years ago
In the following proportion, what does y equal?
netineya [11]

Y/4 = 39/30

Cross multiply:

30y = (4 x 39)

30y = 156

Divide both sides by 30:

Y = 156/30

Y = 5.2

The answer is C. 5.2

5 0
3 years ago
Read 2 more answers
Identify the vertex the axis of symmetry ,maximum,minimum and range
RoseWind [281]
Vertex = 1,4
range = ( infinity, 4)
maximum
5 0
3 years ago
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