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anastassius [24]
2 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]2 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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3 0
2 years ago
What is three decimals that have a sum of 10.806
White raven [17]

Answer:

  10 + 0.8 + 0.006 = 10.806

Step-by-step explanation:

Pick any two decimal numbers. The third one will be the difference between 10.806 and the sum of the two numbers you picked.

For example, choose 938.2 and 3.0055. Their sum is 941.2055. Then the third number that will make the sum be 10.806 is ...

  10.806 -941.2055 = -930.3995

So, your three numbers could be ...

  {938.2, 3.0055, -930.3995}

7 0
2 years ago
What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi. (4
saveliy_v [14]

Answer: 19,461\ ft^3

Step-by-step explanation:

The missing figure is attached.

The volume of grain that could completely fill this silo is the sum of the volume of the cylinder and the volume of the hemisphere.

By definition, the volume of a cylinder can be calculated with this formula:

V_c=\pi r^2h

Where "r" is the radius and "h" is the height.

In this case you know that:

r=6\ ft\\\\h=168\ ft

And the volume of a hemisphere can be found using the following formula:

V_h=\frac{2}{3} \pi r^3

Where "r" is the radius.

In this case:

r=6\ ft

Therefore, the volume of grain that could completely fill this silo, rounded to the nearest whole number, is:

V_{grain}=(\frac{22}{7})(6\ ft)^2 (168\ ft)+\frac{2}{3} (\frac{22}{7})(6\ ft)^3\\\\V_{grain}\approx19,461\ ft^3

3 0
2 years ago
A scatter plot containing the point (6, 8) has the regression equation yˆ=6x+4 . What is the residual e when x = 6?
Anna11 [10]

Residual is the difference between the y value of scatter plot and y value of regression equation

A scatter plot containing the point (6, 8), the y value of scatter plot is 8

y=6x+4, to get y value of regression equation we plug in 6 for x

y = 6(6) + 4 = 40

Residual e = y value of scatter plot - y value of regression equation

=8 - 40 = -32

Answer : e=-32




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2 years ago
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