The heights of a random sample of 50 college students showed a mean of 167.4 centimeters and a standard deviation of 6.9 centimeters. (a) construct a 98% confidence interval for the mean height of all college students. (b) what can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 167.4 centimeters?

a) (165.13, 169.67), b) Error = 2.274.

Step-by-step explanation:

Since we have given that

Mean = 167.4 cm

Standard deviation = 6.9 cm

N = 50

we need to construct 98% confidence interval.

So, Interval would be

b) Margin of error would be

Hence, a) (165.13, 169.67), b) Error = 2.274.

what is the answer?

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)