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.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.