Answer:
p = 1.25
Step-by-step explanation:
varies inversely
p (q + 2)² = k
-----------------------
Find k
p=5 when q = 3
5(3 + 2)² = k
5(25) = k
125 = k
----------------------
Find p when q = 8
p(8 + 2)² = 125
p(100) = 125
divide both sides by 100
p = 1.25
+2 +4 +6 +8 basically multiples of 2 or even numbers
Answer:
Option C is correct, The scatter plot shows a positive association because y increases as x increases.
Step-by-step explanation:
We are given a graph of scatter plot of points. We need to choose correct option using graph.
Option A: The point (18,2) is an outlier. This point is not shown on graph.
False.
Option B: The scatter plot show linear association. This is not linear association because points are not col-linear.
False
Option C: The scatter plot shows a positive association. This is positive association because y increases as x increases.
True
Option D: The scatter plot shows no association. This is false because it shows positive association.
False
Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600
