Answer:
÷
,
×
Step-by-step explanation: Let me know if you need an explanation.
Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
Answer:
V=1884 Cubic mm
Step-by-step explanation:
We know that the volume of the Sphere is given by the formula

Where r is the radius and h is the height of the cylinder
We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.



Where
is the the volume of solid cylinder with radius
and height h
is the volume of the cylinder being carved out with radius
and height h
where
mm ( Half of the bigger diameter )
mm ( Half of the inner diameter )
mm
Putting these values in the formula for V we get




Answer:
exterior angle = 36°
Step-by-step explanation:
In any polygon
exterior angle + interior angle = 180°
let x be the exterior angle then interior angle is 4x , then
x + 4x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus exterior angle = 36°
Answer:
Step-by-step explanations: sometimes 5 times (number) is 250 but in this case your teacher did not tell you to multiply it by 10 but instead multiplying it by 5