A random sample of 500 army recruits has a mean height of 68 inches with
a standard deviation of 2.5 inches. If a 95% confidence interval is
constructed, with all the conditions having been met, what is the margin of
error?
O 0.22
6.02
184
68

The margin of error is 0.22

Step-by-step explanation:

Mathematically, the margin of error at the given confidence interval can be calculated using the formula below;

Margin of error = × s/√n

where is the t-value at the given confidence interval, s is the standard deviation and n is the sample size

= 1.96 (From t-distribution table)

s = 2.5 inches

n = 500

MOE = 1.96 × 2.5/

MOE = 1.96 × 2.5/22.36

MOE = 0.22

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.