Suppose a sample of 256 was taken from a population with a standard deviation of 96 centimeters. What is the margin of error for a 68% confidence interval?
A. 4
B. 8
C. 10
D. 6

D. 6

Step-by-step explanation:

Here we are given that a sample of 256 was taken from a population with a standard deviation of 96 centimeters i.e. = 96 and n = 256.

And we have to calculate the margin of error for a 68% confidence interval.

Firstly from z score% table we observe that at 32% level of significance the z score critical value is given by 0.99744 .

And Margin of error formula is given by ;

                        * = 0.99744 * = 5.98

Approximately, we get Margin of error = 6.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)