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:
x=3
Step-by-step explanation:
When you substitute x = 3 to both equations, you get y = -4 for both so that is a solution
Answer:
02-04 I think 10+5/2= 12.5 for average
Maybe 02-03 for 10
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
There are 2 numbers less than 3. (1 and 2) and one 6 on a dice. Therefore there is a 3 out of 6 chance of rolling one of these 3 numbers (1, 2, and 6). This can be represented as 3/6 which would simplify to 1/2 or 50%.
It can also be found this way...
Probability = Number of desired outcomes ÷ number of possible outcomes. Therefore 3 ÷ 6 = 0.5 which is equal to 50% or 1/2.
I hope you choose my answer so you do well on your assignment! I've gotten an A in math every year :)
Answer:
z would be your radius
Step-by-step explanation:
Equation: (x - h)² + (y - k)² = r²
Simply take √r² to find <em>r</em>, your radius.