Answer:
We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm
Step-by-step explanation:
Sample Information:
Results:
41.8
40.9
42.1
41.2
40.5
41.1
42.6
40.6
From the table we get:
sample mean : x = 41.35
sample standard deviation s = 0.698
Hypothesis Test:
Null Hypothesis H₀ x = 41
Alternative Hypothesis Hₐ x > 41
The test is a one-tail test
If significance level is 0.01 and n = 8 we need to use t-student distribution
From t-table α = 0.01 and degree of freedom df = n - 1 df = 8 - 1
df = 7 t(c) = 2.998
To calculate t(s) = ( x - 41 ) / s/√n
t(s) = ( 41.35 - 41 ) / 0.698/√8
t(s) = 0.35 * 2.83/ 0.698
t(s) = 1.419
Comparing t(s) and t(c)
t(s) < t(c)
t(s) is in the acceptance region we accept H₀
Answer:
First choice
Step-by-step explanation:
It passes through (4, 0) and (0, -4)
Slope = (0 - (-4))/(4 - 0) = 4/4 = 1
so y - 0 = 1*(x - 4)
x - y = 4
8x - 8y = 32
First choice
The number is 200 .
10 is 5% of 200
(h,k) is the vertex
b/2a is the line of symmetry
a > 0 parabola opens upward, vertex is a minimum
a < 0 parabola opens downward, vertex is a maximum
My first answer was deleted lolol
