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anastassius [24]
3 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]3 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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sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

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y - 4.5 = \frac{7}{9} x-\frac{49}{18}

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Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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