The formula for calculating the Confidence Interval is as
follows:
Confidence Interval = x +- (z*s)/√N
Where:
x = mean = 10.36
z = taken from standard normal distribution table based on 95%
confidence level = 1.96
s = standard deviation = 5.31
N = sample size = 30
Substituting know values on the equation:
Confidence Interval = 10.36 +- ( 1.96 * 5.31) / √30
Confidence Interval = 8.46 and 12.26
Hence the bill of lunch orders ranges from 8.46 to 12.26.
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Answer:
Explanation:
X1 X2 Z
0 0 0
16 0 4,000
0 10 3,500
8 6 4,100
check the picture attached for more explanation
Answer:
future worth:
project A 11,615.26
project B 12,139.18
It should choose project B as their future value is greater
IRR of project A: 13.54%
We should remember that the IRR is the rate at which the net value is zero thus, equals the inflow with the cash outlay
It is calculate with excel or financial calculator due to the complex of the formula.
Explanation:
Project A
We calculate the future value of the cash flow per year and cost as we are asked for future value. The salvage value is already at the end of the project life so we don't adjust it.
Revenues future value
C 15,000
time 8
rate 0.12
FV $184,495.3970
Expenses future value
C 3,000
time 10
rate 0.12
FV $52,646.2052
Cost future value
Principal 40,000.00
time 10.00
rate 0.12000
Amount 124,233.93
Net future worth:
-124,233.93 cost - 52,646.21 expenses + 184,495.40 revenues + 4,000 salvage value
future worth 11,615.26
Project B
cost:
Principal 60,000.00
time 10.00
rate 0.12000
Amount 186,350.89
expenses 52,646.21 (same as previous)
revenues
C 24,000
time 7
rate 0.12
FV $242,136.2815
TOTAL
242,136.28 + 9,000 - 52,646.21 - 186,350.89 = 12,139.18
Internal rate of return of project A
we write the time and cash flow for each period.
Time Cash flow
0 -40,000
1 -3,000
2 -3,000
3 12,000
4 12,000
5 12,000
6 12,000
7 12,000
8 12,000
9 12,000
10 16,000
IRR 13.54%
Then we write on excel the function =IRR(select the cashflow)
and we got the IRR of the project
Answer: No. It does not violate Title VII if Cynthia's employer does not grant her the leave.
Explanation:
From the question, we are informed that Cynthia, requested a two-week leave from her employer to go on a religious pilgrimage and that the pilgrimage was not a requirement of her religion, but Cynthia felt it was a calling from God.
Based on the scenario, Title VII is not violated if Cynthia's employer does not grant her the leave. According to the court, when an employee says that based on his or her religious belief, he or she is required to go to a pilgrimage, the person has to prove beyond reasonable doubt.
In this case, her church which is the Roman Catholic didn't call for a pilgrimage as it was her personal choice. Therefore, Title VII is not violated if Cynthia's employer does not grant her the leave.