Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Answer:
.45<.66
Step-by-step explanation:
If its greater than or less than
The length of the arc intercepted by a central angle is the ratio of the angle to 360 degrees times the circumference. From the given values above,
S = (30° / 360°) x 2 x π x (6 ft)
S = π
The angle intercepted an arc which measures π feet. The answer is letter A.
1. Move 2/x to the left side of proportion by changing sign before it:
3/x - 1 - 2/x = 4
2. Move 1 to the right side of proportion and change it's sign as well:
3/x - 2/x = 4 + 1
3. Sum numerators in the left side of proportion since they have common denominator (x) abd also sum the numbers in the right side too:
(3-2)/x = 5
4. Calculate numerator in the left side of proportion:
1/x = 5
5. Move 1 to the right side of proportion by dividing that side by it:
x = 1/5
