Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
STEP 1:
Stress score in general executive (s1)
Stress score in exercising executive (s2)
Null : s1 = s2
Alternative : s1 < s2
STEP 2:
Shape of distribution = normal
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
Decision rule :
α = 0.05 which corresponds to a t score (t0) ;
df = n - 1 = 30 - 1= 30 at 0.05 = 1.699
If :
(Test statistic (t) > t0) ; reject the Null
(right tailed test)
Test statistic (t) :
(x - μ) / (σ/√n)
(2.76 - 2.55) / (0.5/√30)
0.21 / 0.0913
= 2.30
t > t0
2.30 > 1.699
t is more extreme than t0
Hence, reject the null at α = 0.05
Answer:
D and C
Step-by-step explanation:
because EF is diameter
then radius diameter divided by 2
Answer:
Step-by-step explanation:
You can get the gradient of the line perpendicular to this as you know the products of their gradients will be -1.
We have a gradient, and a point (6, 1), so we can now substitute our known values into the line equation.
Rearrange for y and collect terms.
Answer:
your anser is: The British government had a large war debt.
Step-by-step explanation:
during the war thr brits used alot of money and started taxing the colonists thinking it was right just because they protected them during the war.
Answer:
D
Step-by-step explanation:
First let's list down the formulas we will be using.
Area of Quadrant = 1/4 x Area of Circle
= 
Area of Part of a circle = (θ/360)
First, we will find Angle QOT.
Angle QOT = 360 - 231 = 129
Area of ORST = 
Next we know that, Q is midpoint of OR, therefore OQ = QR
and OQ = 0.5 * OR
OQ = 0.5 * 21 = 10.5cm = radius of Quadrant QOP
Area of Quadrant QOP = 
Lastly,
Area of Shaded Region = Area of ORST - Area of Quadrant QOP
= 
Similar to the other question you asked, choose the closes answer as there might be some rounding differences. I kept it in fractions as it will ensure maximum precision.
