Answer:
Control limits for x_bar are between 59.076 and 60.924
Control limits for R are between 0.669 and 5.331
Explanation:
Given data:
x_bar = 60 mph
n = 10
R = 3 mph
Step 1: Factors (see table attached)
At n = 10, factors for computing control charts limits are,
A2 = Mean factor = 0.308
D3 = Lower range = 0.223
D4 = Upper range = 1.777
Step 2: Control limits for x_bar
Lower Control limit:
LCL = x_bar - A2*R = 60 - (0.308)(3) = 60 - 0.924 = 59.076
Upper Control limit:
UCL = x-bar + A2*R = 60 + (0.308)(3) = 60 + 0.924 = 60.924
The control limits for x_bar are between 59.076 and 60.924
Step 3: Control limits for R
Lower Control limit:
LCL = D3*R = 0.223(3) = 0.669
Upper Control limit:
UCL = D4*R = 1.777(3) = 5.331
The control limits for R are between 0.669 and 5.331
Hope this helps!
Answer:
<u>Transactions:</u>
1. June 1 Monthly invests $3, 910 cash in exchange for shares of common stock in a small welding business.
2. June 2 Purchases equipment on account for 340.
3. June 3 $760 cash is paid to landlord for June rent.
4. June 12 Bills P. Leonard $410 after completing welding work done on account.
<u>Journal Entries:</u>
1.
June 1 Dr. Cr.
Investment $3,910
Cash $3,910
2.
June 2 Dr. Cr.
Equipment $340
Account Payable $340
3.
June 3 Dr. Cr.
Rent Expense $3,760
Cash $3,760
4.
June 12 Dr. Cr.
P. Leonard (Receivable) $410
Welding Service Revenue $410
Answer:
n = ㏒ P ÷ ㏒ (1.08)
Explanation:
Compound interest rate
A = P × 
where
P = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
A = amount of money accumulated after n years, including interest.
n = number of years
Since we want the principle amount to double i.e., A = 2P
put this in above equation
2P = P × 
divide both sides by P, we get
P = 
put r = 0.08
P = 
P = 
Taking log on both sides
㏒ P =㏒ 
㏒ P = n ㏒ (1.08)
n = ㏒ P ÷ ㏒ (1.08)
Answer: cognitive dissonance
Explanation: Cognitive dissonance takes place in the fields of psychology when an individual holds two or more irrational beliefs, concepts, or principles, or takes part in a motion that runs counter to any of these three and thereby perspectives mental stress.
Inconvenience is caused by an individual's belief that conflicts with new interpreted proof (statistics) in which they attempt to take steps to address the inconsistency in order to minimize their distress.
In simple words, The concept behind cognitive dissonance shows that people find psychological continuity regarding their life span and the earth's objective reality.