Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766
Step-by-step explanation:
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:
<em>x</em> = all real numbers
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
x + 6 = 2(x + 3) - x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add <em>x</em> on both sides: 2x + 6 = 2(x + 3)
- [Distributive Property] Distribute 2: 2x + 6 = 2x + 6
Here we see that both sides are identical.
∴ our solution is all real numbers.
Answer:
The value of the test statistic is 
Step-by-step explanation:
The formula for the test statistic is:

In which X is the statistic,
is the mean,
is the standard deviation and n is the number of observations.
In this problem, we have that:

So



The value of the test statistic is 
13.95+2.25+2.25+2.25+2.75+2.75+2.75= 28.95