Step-by-step explanation:
Due to the time it took to solve this question, I had little time to type the answers fully
The answers are contained fully in the attachment I have uploaded.
A. H0: u1 = u2
H1: u1 not equal to u2
The t statistics was solved to be 3.03
The degree of freedom was solved to be 26
Given this information, this is a 3 tailed test, critical value at 5% = +-2.056
T stat > critical value
We therefore reject the null hypothesis at 5% and conclude they have different mean wear
The p value is calculated using excel and the result is 0.00544
We reject null at 5% since p value is less than 0.05
B. H0: u1 = u2
H1: u1>u2
Alpha = 0.05
Following a,
Test stat = 3.03
Df = 26
Critical value for 1 tailed test = 1.706
Test stat > 1.706
We reject H0 and conclude company 1 has higher mean wear.
We find p value for a right tailed distribution using excel
Tdist(3.03,26,1)
= 0.002722
We reject h0
C. Confidence interval
1.610 < u < 8.390
Answer:

General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Cross-multiply:

- Distribute 0.35:

- Multiply:

- Isolate <em>x</em> term:

- Isolate <em>x</em>:

- Rewrite:

<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute:

- Multiply:

- Subtract:

- Evaluate:

In the equation

, a is the initial amount and b is the growth factor. So our initial amount is 30 and our growth factor is 8.3. Your correct choice for this is A.
Answer:
x=4
Step-by-step explanation:
f(x) =1/4 x - 2 when f(x) = -1.
-1=1/4x-2
-1+2=1/4 x
1×4=x
x=4
3x - 6y = -2
-6y = -3x - 2, divide through by -1
6y = 3x + 2, divide through by 6
y = 3x/6 + 2/6
y = x/2 + 1/3