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KonstantinChe [14]
3 years ago
13

The dean of the engineering school at a technical university wants to emphasize the importance of having students who are gifted

at reading and writing as well as math. She wants to know if she can accurately claim that graduate students in engineering programs at her school have significantly higher scores on the verbal reasoning section of the GRE (a standardized test used in the admissions process for many graduate programs) than the national average for engineering students. The national average for the verbal reasoning GRE score for engineering students was 150 with a standard deviation of 9. A random sample of 49 engineering graduate students at her school were found to have an average verbal reasoning GRE score of 153. After analyzing the data to determine whether the mean verbal reasoning GRE score of the engineering graduate students at the technical university is higher than the national average, the p-value of 0.0099 was obtained. Using a 0.05 significance level, what conclusion can be drawn from the data?
Mathematics
1 answer:
larisa [96]3 years ago
8 0

Answer:

Step-by-step explanation:

The null hypothesis: Mean verbal reasoning GRE score of the engineering graduate students at the technical university is less than or equal to the national average: u ≤ 150

The alternative hypothesis: Mean verbal reasoning GRE score of the engineering graduate students at the technical university is greater than the national average: u > 150

Since the p-value of 0.0099 was gotten which is less than the significance level of 0.05, we reject the null hypothesis and conclude that actually there is a statistically significant evidence to prove that the mean verbal reasoning GRE score of the engineering graduate students at the technical university is greater than the national average

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lys-0071 [83]

Answer:

Step-by-step explanation:

Directions

  • Draw a circle
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  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
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Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

The 24 inch chord is 5 inches from the center of the circle.

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larisa86 [58]
The right answer for the question that is being asked and shown above is that:

Two numbers have a sum of 71 and a difference of 37
x + y = 71
x - y = 37

So in order to get the two numbers, here it is:
x + y = 71
x - y = 37
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Answer:

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Use the exponent power:

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(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}

Apply the given rules;

(16y^{\frac{5}{4} +3} )^{\frac{1}{2}}

Simplify:

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