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makkiz [27]
3 years ago
5

Suppose that the population of the scores of all high school seniors that took the SAT-M (SAT math) test this year follows a Nor

mal distribution, with mean μ and standard deviation σ = 100. You read a report that says, "On the basis of a simple random sample of 100 high school seniors that took the SAT-M test this year, a confidence interval for μ is 512.00 ± 25.76." The confidence level for this interval is
Mathematics
1 answer:
abruzzese [7]3 years ago
4 0

Answer:

The confidence level for this interval is 99%.

Step-by-step explanation:

The margin of error M has the following equation.

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

z is related to the confidence level.

In this problem:

M = 25.76, \sigma = 100, n = 100

So

25.76 = z*\frac{100}{\sqrt{100}}

10z = 25.76

z = 2.576

Looking at the z table, z = 2.576 has a pvalue of 0.995.

So the confidence level is:

1 - 2(1 - 0.995) = 1 - 0.01 = 0.99

The confidence level for this interval is 99%.

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Answer:

25in²

Step-by-step explanation:

a cube has 6 faces

all of these are equal

therefore you need to divided 150 by 6

that's 25

the answer is 25 in²

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What is the answer to (3^2-8) +4=
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Answer:

5

Step-by-step explanation:

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3 years ago
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Can you Graph the image A(4,-1) after a translation 7 units up?
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(4,6) is the correct answer
4 0
2 years ago
The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color bl
Alecsey [184]

Answer:

(a) The correct answer is P (CBM) = 0.79.

(b) The probability of selecting an American female who is not red-green color-blind is 0.996.

(c) The probability that neither are red-green color-blind is 0.9263.

(d) The probability that at least one of them is red-green color-blind is 0.0737.

Step-by-step explanation:

The variables CBM and CBW are denoted as the events that an American man or an American woman is colorblind, respectively.

It is provided that 79% of men and 0.4% of women are colorblind, i.e.

P (CBM) = 0.79

P (CBW) = 0.004

(a)

The probability of selecting an American male who is red-green color-blind is, 0.79.

Thus, the correct answer is P (CBM) = 0.79.

(b)

The probability of the complement of an event is the probability of that event not happening.

Then,

P(not CBW) = 1 - P(CBW)

                   = 1 - 0.004

                   = 0.996.

Thus, the probability of selecting an American female who is not red-green color-blind is 0.996.

(c)

The probability the woman is not colorblind is 0.996.

The probability that the man is  not color- blind is,

P(not CBM) = 1 - P(CBM)

                   = 1 - 0.004  

                   = 0.93.

The man and woman are selected independently.

Compute the probability that neither are red-green color-blind as follows:

P(\text{Neither is Colorblind}) = P(\text{not CBM}) \times  P(\text{not CBW})\\ = 0.93 \times  0.996 \\= 0.92628\\\approx 0.9263

Thus, the probability that neither are red-green color-blind is 0.9263.

(d)

It is provided that a one man and one woman are selected at random.

The event that “At least one is colorblind” is the complement of part (d) that “Neither is  Colorblind.”

Compute the probability that at least one of them is red-green color-blind as follows:

P (\text{At least one is Colorblind}) = 1 - P (\text{Neither is Colorblind})\\ = 1 - 0.9263 \\= 0.0737

Thus, the probability that at least one of them is red-green color-blind is 0.0737.

6 0
3 years ago
Write the equation in slope-intercept form of the line that has a slope of 6 and contains the point (1, 1).
valentinak56 [21]

Answer: y=6x-5

Step-by-step explanation:

Since we know the slope, we can plug it into the slope-intercept equation. We can plug in the given point to find the y-intercept.

y=6x+b

1=6(1)+b

1=6+b

b=-5

Now that we know the y-intercept, we can complete the equation.

y=6x-5

5 0
3 years ago
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