Answer:
a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium
b) The point estimate of the difference is 59 $
Step-by-step explanation:
From sample we get:
sample size n = 25
annual mean x = 1440
standard deviation of the sample s = 150
mean for the mean annual premium μ = 1499
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x < μ
Alternative Hypotesis indicates that the test is a one-tail test to the left
Let´s assume confidence Interval 95 % then α = 5 % α = 0.05
As n < 30 and we assume normality we will make a t-student test
degree of freedom df = n - 1 df = 24
With df = 24 and α = 0.05 and from t-student table we get t(c) = - 1.711
To calculate t(s) we apply:
t(s) = ( x - μ ) / s/√n
t(s) = ( 1440 - 1499 ) * 5 / 150
t(s) = - 59/ 30
t(s) = - 1.96
Comparing t(s) and t(c)
|t(s)| > |t(c)|
Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.
b) The point estimate for the difference is : x - μ = 59 $
Answer:
87.5%
Step-by-step explanation:
Total parts = 8
Part 6 = 1
Parts not 6 = 7
P(not 6) = 7/8
<u><em>In %age:</em></u>
=> 87.5%
Angles are measured in degrees, written °. The maximum angle is 360°. This is the angle all the way round a point. Half of this is the angle on a straight line, which is 180°.Lines AB and CD are parallel to one another (hence the » on the lines).
a and d are known as vertically opposite angles. Vertically opposite angles are equal. (b and c, e and h, f and g are also vertically opposite).
g and c are corresponding angles. Corresponding angles are equal. (h and d, f and b, e and a are also corresponding).
d and e are alternate angles. Alternate angles are equal. (c and f are also alternate). Alternate angles form a 'Z' shape and are sometimes called 'Z angles'.
a and b are adjacent angles. Adjacent angles add up to 180 degrees. (d and c, c and a, d and b, f and e, e and g, h and g, h and f are also adjacent).
d and f are interior angles. These add up to 180 degrees (e and c are also interior).
Any two angles that add up to 180 degrees are known as supplementary angles.
Answer:
(7x+7 )(x+1 )
Step-by-step explanation:
7x²+14x+7
(7x+7 )(x+1 )
7x²+7x+7x+7
7x²+14x+7
Answer:
k=0.832926
Step-by-step explanation: