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:
0.867 in decimal form
13/15 in fraction form
Step-by-step explanation:
1. Add
2/3 + 1/5 = 10/15 + 3/15
2. Simplify the sum, 13/15
1 is the greatest common divisor of 13 and 15. The result can't be further reduced.
3. Convert 13/15 into a decimal.
Answer:
4π(w+1)(w-1)
Step-by-step explanation:
The total surface area of the cylinder
= 2 x area of base circle + area of vertical surface
= 2x pi x radius^2 + 2x pi x radius x height
= 2π(w-1)^2 + 2π(w-1)(w+3)
= 2π[w^2-2w+1 + w^2+2w-3]
= 2π(2w^2-2)
= 4π(w^2 - 1)
= 4π(w+1)(w-1)
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