Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Answer:
- domain: all terms are defined for <em>all real numbers</em>
- solution: x = 6
Step-by-step explanation:
Rewrite the equation as a single exponential. After taking the log, the solution becomes obvious.
|4x-9|=5x
subtract 4 to both sides
and that will give you
|-9|=x then the 9 turns positive because of the brackets
9=X
Answer:
Step-by-step explanation:
For each problem you need to make sure that the angles are the same.
So x + 22 = 90
x = 90 -22 = 68 degree
For the second problem
7x + 10 = 8x
10 = 8x -7x
x = 10 degree
