Given:
n = 20, sample size
xbar = 17.5, sample mean
s = 3.8, sample standard deiation
99% confidence interval
The degrees of freedom is
df = n-1 = 19
We do not know the population standard deviation, so we should determine t* that corresponds to df = 19.
From a one-tailed distribution, 99% CI means using a p-value of 0.005.
Obtain
t* = 2.8609.
The 99% confidence interval is
xbar +/- t*(s/√n)
t*(s/√n) = 2.8609*(3.8/√20) = 2.4309
The 99% confidence interval is
(17.5 - 2.4309, 17.5 + 2.4309) = (15.069, 19.931)
Answer: The 99% confidence interval is (15.07, 19.93)
Answer:
1/3
Step-by-step explanation:
Take any two points: (3,-4) and (0,-5)
y2 - y1 / x2 - x1
-5 - (-4) / 0 - 3
-1 / -3 = 1/3
What is this supposed to be? Is there any actual question?
Answer:
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
I hope it's helpful!
Answer:
∠Z ≈ 12°
Step-by-step explanation:
Using the Sine Rule in ΔXYZ
= 
, that is
= 
( cross- multiply )
48 × sinZ = 10 × sin96° ( divide both sides by 48 )
sinZ = 
Z = 
( ) ≈ 12°
