Answer:
There is significant evidence to conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
Step-by-step explanation:
Given the data :
6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
The hypothesis:
H0: μ = 3.2
H1 : μ > 3.2
n = sample size = 12
The sample mean, xbar = ΣX / n
xbar = 53.2 / 12
xbar = 4.43
Using calculator;
Sample standard deviation, s = 2.147
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.43 - 3.2) ÷ (2.147/sqrt(12)
1.23 / 0.6197855
Test statistic = 1.985
The Pvalue using the Pvalue from Tscore calculator :
Tscore = 1.985 ; df = 12 - 1 = 11
Pvalue = 0.036
Since Pvalue < α ; We reject the Null
Hence, we conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
Answer:
If a and b are two events such that:
b⊂a
Then it is obvious that p(b)≤p(a)
where p denotes the probability of an event.
<em>" Because as one event is contained in the other that means it has possibility to contain more favourable outcomes than the other while the probability of both the events is calculated by taking the total number of outcomes to be equal "</em>
Let us consider an <u>example</u> as:
We roll a die;
so the total outcomes are: {1,2,3,4,5,6}.
Now let b denotes the event that the number is an even number less than 5.
Number of favourable outcomes( {2,4} )=2
p(b)= 2/6
let a denotes that the number is less than 5.
Then Number of favourable outcomes( {1,2,3,4} )=4
p(a)=4/6
clearly b⊂a
also we could see that p(b)<p(a)
I am pretty sure that to find the area of a circle, it’s pi times radius squared.
So in your situation, the formula would be p89 squared. So first, multiply 89 times 89, which equals 7921. You could leave it and say the answer is 7921 pi squared, or you could multiply 7921 by 3.14 (pi rounded), which would get you 24871.94 So the answer would either be:
1.) 7921 pi squared
2.) 24,871.94 feet squared
Hope this helps
Answer:
-g^8
Step-by-step explanation:
it would still remain the same as it is shown because the "g" is negative and the "8", the exponent, is positive
