Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
Answer:
We have (2/3)x(1-1/4) - 1/4 = (2/3)x(3/4) -1/4 = 6/12 = 1/4 = 1/2 -1/4 = 2/4 - 1/4 = 1/4 do I bring in between;
Step-by-step explanation:
<h2>
Answer:0.2352
</h2>
Step-by-step explanation:
Let the mass of the person be
.
Let the spring constant be
.
Let the displacement in spring be 
Let the acceleration due to gravity be 
As it is given that the person just stands,the forces are balanced.
So,
Given,


Answer:
70
Step-by-step explanation:
the red lines mean the two sides are equal
so its an isosceles triangle meaning the two angles other than the 40° one are equal
the inner angles of a triangle must add up to 180
so 180-40 = 2x
140 = 2x
x = 140/2 = 70
Answer: 466.56
Step-by-step explanation:
Volume = pi times radius^2 times height/3
Radius = 1/2 of the diameter
Volume = 3.24 times 6^2 times 12/3
Volume = 3.24 times 36 times 4
Volume = 116.64 times 4
Volume = 466.56