In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour of shopping. Based on previous years, the population standard deviation is thought to be $21 per hour of shopping. Assuming that the amount spent per hour of shopping is normally distributed, find a 90% confidence interval for the mean amount.a. [$51.8409, $56.1591]
b. [$52.3174, $55.6826]
c. [$45.3637, $62.6363]
d. [$47.2695, $60.7305]
Answers
Answer:
The 90% confidence interval is c) $45.3637, $62.6363
Explanation:
Hi, since we need to find the Z value from the standard deviation table that would substract an equal area from both size of the normal distribution graph, we can tell that the probability that we have to rate into account is 5% (I mean, 10%, which we substract from both sides 5%), and the Z number for a probability of 5% is -1.645 which is the lower end of the interval, and due to symmetry, the higher end of the interval would be 1.645.
Now, we need to use the following formula in order to find the lower and higher ends of the interval.
Where:
C.L = Confidence Level
Mean = in our case, $54
StdDev = $21
n = sample sizes, in our case, that would be 16
So, the lower level would be
Therefore:
So, the interval in order to have 90% confidence is c. [$45.3637, $62.6363]
Related Questions
A small office building produces NOI of $8,995 per year. We intend to buy the property, if the price is right, and hold it for four years. At that time (EOY 4) we believe we can sell the property for $197,000. If we require an 8% ROA, what is the most we should pay now for this investment?A. The NPV is negative, so reject the investment.B. The NPV is positive, so invest.C. The NPV is greater than the NOI, so invest.D. The GPI is greater than the NOI, so invest.E. The NPV is greater than the OPX, so invest.
g Twins Jane and Hal each inherited $150,000 exactly ten years ago. Jane invested the entire amount in a brokerage account to fund her retirement. Her account has been earning 8% per year since she invested it, and she expects it to earn 5% per year for the next 20 years. Hal spent all of his inheritance and has not saved anything for retirement. Assume there are no taxes. a. How much is Jane expected to have in her account at retirement (20 years from now)? b. Due to sibling rivalry, Hal wants to have at least $100,000 more saved at retirement (20 years from now) than Jane is expected to have at that time. He plans to make an equal deposit each year in an account earning the same annual interest rate as Jane’s, i.e., 5%, with the first deposit occurring one year from today and the last occurring 20 years from today. How much must Hal deposit each year in order to achieve his goal?
. Suppose you buy a five-year zero-coupon Treasury bond for $800 per $1000 face value. Answer the following questions: (a) What is the yield to maturity (annual compounding) on the bond? (b) Assume the yield to maturity on comparable zeros increases to 7% immediately after purchasing the bond and remains there. Calculate your annual return (holding period yield) if you sell the bond after one year. (c) Assume yields to maturity on comparable bonds remain at 7%, calculate your annual return if you sell the bond after two years. (d) Suppose after 3 years, the yield to maturity
At the beginning of the video, Priya ends her presentation by asking her colleagues to imagine "a world where you never have to wait in line for your groceries again!" What stage of Lewin’s Change Model is Priya exhibiting?
Answers
Answer:
manufacturing overhead rate =$12.78
Explanation:
Giving the following information:
Butler Manufacturing estimated that:
Manufacturing overhead $176,400
Direct labor hour 13,800.
Actual results for the year:
The actual manufacturing overhead costs $185,000.
Actual direct labor hours 14,600.
We need to calculate the predetermined manufacturing overhead rate per direct hour
manufacturing overhead rate = 176400/13800hours= $12.78
B) Google and Apple are showing corporate social responsibility because they demonstrate concern for their investors,which is exactly where their focus should be.
C) Blackberry is acting philanthropically toward government.
D) Google and Apple are showing their distrust for big government,and their avoidance of contributing toward philanthropic causes.
Answers
Answer:
A) Laws represent the minimum guidelines that companies must follow,whereas a firm's ethical stance may venture beyond the minimum level of compliance.
Explanation:
In the given scenario there are laws that allows community and state police to set up sobriety check points that discourages drunk drivers and saves lives.
The inclusion or removal of applications that helps drunk drivers avoid these checkpoints is not covered by the law. So if a company decides to include such applications it is at their discretion.
Blackberry have chosen to remove applications that helps drunk drivers avoid checkpoints. This is an example of when a company has ventured beyond the minimum level of compliance because of their ethical stance.
Google and Apple however have only ventured beyond the minimum compliance level because they have refused to honour requests by legislators to remove apps that permit smartphone users to navigate around the checkpoints.
The statement that applies to this situation is : "Laws represent the minimum guidelines that companies must follow, whereas a firm's ethical stance may venture beyond the minimum level of compliance."
The correct answer is option A
In the scenario described, the companies are facing a situation where lawmakers have requested the removal of apps that allow users to navigate around sobriety checkpoints.
Option A is the most suitable because it reflects the fundamental distinction between legal compliance (following the law) and ethical behavior (going beyond what the law mandates). Let's break it down further:
Laws represent the minimum guidelines that companies must follow: This statement acknowledges that companies are legally obligated to comply with the laws and regulations of the jurisdictions in which they operate. In this case, lawmakers have made a request, but it's not legally mandated to remove these apps.
A firm's ethical stance may venture beyond the minimum level of compliance: This part of the statement highlights that ethical behavior goes beyond what is legally required.
Therefore, option A is correct.
Learn more about ethical behavior here:
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Answers
The cost to produce today = 74000
At a discount of 12%, the future value of costs in 5 years = PV*(1+r)^n where PV = 74000, r= 12% = 0.12 and n = 5 years = 5
The value of costs in 5 years = 74000*(1+0.12)^5
The value of costs in 5 years = 74000*1.12^5
The value of costs in 5 years 130,413.28
Price in 5 years = 138,000
Profit = 138,000-130,413.28 = 7,586.72
The profit the firm will make on this asset (considering time value of money) = $7,586.72
Answers
Explanation:
While preparing the post closing trial balance, we record the permanent account while the temporary accounts are not records. So, the permanents accounts that are recorded are given below:
a. Accounts Receivable
b. Cash
c. Doug Woods, Capital
d. Equipment
e. Land
f. Salaries Payable
g. Unearned Rent
All other account balances reflects that they are temporary accounts. Hence, ignored it
The post-closing trial balance will typically include Accounts Receivable, Cash, Doug Woods, Capital, Equipment, Land, and Salaries Payable. It doesn't include temporary accounts which are closed at the end of the period.
The post-closing trial balance includes only the permanent or real accounts that have balances after the closing process. In the case of the accounts provided, the post-closing trial balance will usually include a. Accounts Receivable, b. Cash, e. Doug Woods, Capital, g. Equipment, h. Land, and i. Salaries Payable. Temporary or nominal accounts such as c. Depreciation Expense, d. Fees Earned, f. Doug Woods, Drawing, j. Unearned Rent, k. Wages Expense are closed at the end of the period and therefore, don't usually appear in the post-closing trial balance.
Learn more about post-closing trial balance here:
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Answers
Answer:
straight line depreciation:
depreciation expense per year, the same for every year = ($60,000 - $12,000) / 14 = $3,428.57
book value end of year 1 = $56,571.43
book value end of year 2 = $53,142.86
book value end of year 3 = $49,714.29
book value end of year 4 = $46,285.72
book value end of year 5 = $42,857.15
double declining balance:
deprecation expense year 1 = 2 x 1/14 x $60,000 = $8,571.43
book value end of year 1 = $51,428.57
deprecation expense year 2 = 2 x 1/14 x $51,428.57 = $7,346.94
book value end of year 2 = $44,081.63
deprecation expense year 3 = 2 x 1/14 x $44,081.63 = $6,297.38
book value end of year 3 = $37,784.25
deprecation expense year 4 = 2 x 1/14 x $37,784.25 = $5,397.75
book value end of year 4 = $32,386.50
deprecation expense year 5 = 2 x 1/14 x $32,386.50 = $4,626.64
book value end of year 5 = $27,759.86
sum of digits:
depreciable value = $60,000 - $12,000 = $48,000
total sum of digits = 120 years
deprecation expense year 1 = $48,000 x 15/120 = $6,000
book value end of year 1 = $54,000
deprecation expense year 2 = $48,000 x 14/120 = $5,600
book value end of year 2 = $48,400
deprecation expense year 3 = $48,000 x 13/120 = $5,200
book value end of year 3 = $43,200
deprecation expense year 4 = $48,000 x 12/120 = $4,800
book value end of year 4 = $38,400
deprecation expense year 5 = $48,000 x 11/120 = $4,400
book value end of year 5 = $34,000
Answers
Answer:
USD 825.95
Explanation:
Step one:
To tackle this problem we need data from historical chart.
From historical chart, on August 14, 2019, 1 USD is equivalent to CAD 1.3318
Step two:
From the historical data we need to perform conversion on the data to get the USD equivalent of the CAD given in the problem
Hence
if 1 USD = CAD 1.3318 then
x USD = CAD 1,100
by cross multiplying we have
x USD= 1,100/ 1.3318
x USD= 825.95
Hence as at August 14, 2019 CAD 1,100 is USD 825.95