Answer:
90% CI expects to capture u 90% of time
(a) This means 0.9 * 1000 = 900 intervals will capture u
(b) Here we treat CI as binomial random variable, having probability 0.9 for success
n = 1000
p = 0.9
For this case, applying normal approximation to binomial, we get:
mean = n*p= 900
variance = n*p*(1-p) = 90
std dev = 9.4868
We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)
We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s
so z1 = (889.5 - 900 )/9.4868 = -1.11
so z2 = (910.5 - 900 )/9.4868 = 1.11
P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)
= 0.8665 - 0.1335
= 0.733
two points are (0,0) and (100, -800)
m = (y2-y1)/(x2-x1) = (-800-0)/(100-0) = -8
point slope form of the line is
y-y1 = m(x-x1)
y-0 = -8 (x-0)
y=-8x
this is in slope intercept form now
y=-8x
Answer:
d= -37
Step-by-step explanation:
subtract 21 on both sides which would be -16-21 and that would come to be d=-37
