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anastassius [24]
4 years ago
14

The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of

all freshmen. Comment on whether the explanation is correct. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.
Mathematics
1 answer:
katen-ka-za [31]4 years ago
7 0

Answer:  The explanation is correct.

Step-by-step explanation:

The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."

Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.

Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in  (107.8, 116.2).

i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.

Hence, the  explanation is absolutely "correct" .

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Answer:

Step-by-step explanation:

From the attached photo

mean = 15.76

Standard deviation = 1.66

c) We want to determine a 90% confidence interval for the mean growth of pea plants

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

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It becomes

15.76 ± 1.645 × 1.66/√7

= 15.76 ± 1.645 × 0.63

= 15.76 ± 1.04

The lower end of the confidence interval is 15.76 - 1.04 =14.72

The upper end of the confidence interval is 15.76 + 1.04 =16.8

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3000 dollars

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The complete question is

"A 4 inch by 6 inch picture is placed in a frame that creates a uniform border of x inches around the picture. The area of the entire frame (including where the picture is placed) is equal to 55.25 square inches.

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The width of the frame is 4+2x, and the length of the frame is 6+2x.

<h3>What is the area of the rectangle?</h3>

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We know that the picture is 4 inches wide and 6 inches long.

Since there is a uniform border of x inches around the picture, so we must add 2x inches to each dimension.

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Therefore, the width of the frame is 4+2x, and the length of the frame is 6+2x.

Learn more about the area;

brainly.com/question/1658516

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Consider the following game: Roll a fair 6-sided die. You win if the result is greater than 4; otherwise, you lose. To play, you
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Answer:

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