Answer:
We accept H₀
Step-by-step explanation:
Normal Distribution
size sample n = 69
sample mean 18.94
standard deviation 8.3
Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.
1.-Test hypothesis H₀ ⇒ μ₀ = 20
Alternative hypothesis Hₐ ⇒ μ₀ < 20
2.- Critical value
for α = 0.1 we find from z Table
z(c) = - 1.28
3.-We compute z(s)
z(s) = [ ( μ - μ₀ ) / (σ/√n) ⇒ z(s) = [( 18.94 - 20 )*√69)/8.3]
z(s) = ( -1.06)*8.31/8.3
z(s) = - 1.061
4.- We compare
z(c) and z(s) -1.28 > -1.061
Then z(c) > z(s)
z(s) in inside acceptance region so we accept H₀
Answer;
1: when shawn woke up
2: the temperature change is 27
Step-by-step explanation:
Answer:
1078
Step-by-step explanation:
Product means to divide
She has 67% of the pencils.
Chester:Mary = 2:4 = 1:2
So, in the simplest case:
If Chester has one pencil Mary would have two.
There are three pencils.
Mary has two.
2/3 = 0.667 = 67% (rounded)
Hello!
The equation for find the h when given volume and radius is
![h = 3 \frac{V}{ \pi r^{2} }](https://tex.z-dn.net/?f=h%20%3D%203%20%5Cfrac%7BV%7D%7B%20%5Cpi%20%20r%5E%7B2%7D%20%7D%20)
h is height
v is volume
r is radius
Put in the values you know
![3 \frac{24 \pi }{ \pi 3^{2} }](https://tex.z-dn.net/?f=3%20%5Cfrac%7B24%20%5Cpi%20%7D%7B%20%5Cpi%20%203%5E%7B2%7D%20%7D%20)
Since there is pi on the top and bottom we can get rid of it
multiply the 3 by the top number
![\frac{72}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B72%7D%7B9%7D%20)
the answer is 8m
Hope this helps!