Answer:
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject
, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Step-by-step explanation:
The null and alternate hypothesis are:
H0:p≥0.03
Ha:p<0.03
The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.03 is tested at the null hypothesis:
This means that 
28 out of 600 items produced by the machine were found defective.
This means that 
Value of the test-statistic:



P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.
Looking at the z-table, z = 2.4 has a p-value of 0.9918.
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject
, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Answer:
It is a box
Step-by-step explanation:
IT's a box ,because I had to put a stick in the box
Answer:
A
Step-by-step explanation:
10x3=30
15x2=30+10=40
15x3=45 movies for less
Answer:
58º
Step-by-step explanation:
Answer:
The length of the flight of stairs is 52 m
Step-by-step explanation:
<em>In parallelograms, opposite sides are equal in length</em>
In the given figure
∵ The building is built in the shape of a parallelogram
∵ The length of the flight of stairs is one side of it
→ We can find it by finding the hypotenuse of the right triangle
whose legs are 47 m and 22 m
∴ The length of it = the length of the hypotenuse of the right Δ
→ By using the Pythagoras Theorem
∵ h = 
∵ leg1 = 47 and leg2 = 22
∴ h = 
∴ h = 
∴ h = 
∴ h = 51.89412298
∵ h represents the length of the flight of stairs
∴ The length of the flight of stairs = 51.89412298 m
→ Round it to the nearest meter
∴ The length of the flight of stairs = 52 m