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Sveta_85 [38]
3 years ago
14

Question

Mathematics
2 answers:
tigry1 [53]3 years ago
7 0

Answer:

c

Step-by-step explanation:

stepan [7]3 years ago
7 0

Answer:

Answer:

A: last option

B: second option

C: third option

D: first option

Step-by-step explanation:

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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
The price of a laptop was marked 80 percent off because it had a cracked screen.
Lelu [443]

Answer:

20%

Step-by-step explanation:

just took test plz mark as brainliest

7 0
3 years ago
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Anyone know what the answer is
Mars2501 [29]

Answer:

22,-15 ................ maybe

4 0
3 years ago
Find the cost price in each of the following:
Bas_tet [7]

Step-by-step explanation:

a.120÷100×20

profit=24

=24+120

=144

b.289÷100×15

=43.35

289-43.35

=245.65

8 0
2 years ago
X² + 4x + 3<br> How is this solved step by step it needs to be in factored form
Leni [432]
Do c=b meaning that you need to number that multiply to c but the sum of those numbers give u the value of b. The answer would be (x+3)(x+1) because both are positive.
4 0
3 years ago
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