The 2010 insurance premiums from both Geico and 21st Century for a male driver licensed for 6–8 years who drives a Honda Accord 12,600 to 15,000 miles per year and has no violations are given in the table below. The table also indicates the city of residence. City Geico ($) 21st Century ($) Difference ($) Long Beach 2780 2352 Pomona 2411 2462 San Bernardino 2261 2284 Moreno Valley 2263 2520
(a) Fill in the entires in the difference column in the above table. (b) Compute the mean of the differences. (c) Verify that the sample standard deviation of the differences is s ≈288.68. (d) Compute the standard error of the differences, using n =4. (e) Using a significance level of α =0.01, do these data provide sufficient evidence to indicate that there is a difference in the premiums between Geico and 21st Century?

President Obama in 2010 passed law as a part of the Tax Relief, Unemployment Insurance Reauthorization, and Job Creation Act. This act allowed business (one of many things the law allowed) to claim depreciation expense at a much fast rate than had been previously allowed. Businesses could claim up to 50% of the new asset put into use during the year it was purchased. How did this act help in capital budgeting of new projects?

Although there was a financial crisis in 2007-2010, some firms were able to weather the crisis. These firms had all of the following characteristics which were directly responsible for their ability to survive the crisis EXCEPT:

MSG at the beginnig on 2010, enters into a 20 year non-cancellable lease for equipment having an estimated useful life of 20 years. MSG's incremental borrowing rate is 4%, the implicit rate of the lessor is unknown. MSG uses the straight-line method to depreciate its assets. Following provisions are at the below for company :
1. Rental payments of $220,000 payable at the beginning of each year.
2. A guarantee by MSG that FD COMPANY will realize $200,000 from selling the asset at the expiration of the lease. However, the actual residual value is expected to be $70,000.

a)What is the present value of the lease payments for measurement of the lease liability? (PV factor for annuity due of 20 annual payments at 4% annual rate, 14.13394; PV factor for payment at the 20 the period at 4%, 0.45639.)
b) What journal entries would MSG record during the first two years of the lease? (Include an amortization schedule including latest 1/1/2012)

4) The Chronicle of Higher Education (2009-2010 issue) published the accompanying data on the percentage of the population with a bachelor’s or higher degree in 2007 foreach of the 13 provinces or territories of Canada.

21 27 26 19 30 35 35 26 47 26 39 29 22

(a) Calculate these numerical summaries:

The median:

The interquartile range:

(b) Construct a box plot for these data.

finchco case for corporate finance,

It was late February 2010, and Harry Finch who was president and chief executive officer (CEO) of Finch Distributing Company (Finchco), was thinking about selling his business. At 65 years of age but in excellent health, he wanted to pursue his dream of buying a yacht and sailing around the world. His interest in selling the company had begun in earnest when in late 2007 Finchco had received a $35.4 million offer1 to purchase the company from one of its U.S. suppliers. Unfortunately, at the onset of the financial crisis, the offer was revoked. Since that time, Finchco had experienced a financial reversal related to the downturn of the economy but Finch felt that the company was turning around and had a potential large contract on the horizon. He wondered whether the time was right to offer his firm for sale.

In 2010, an online security firm estimated that 65% of computer users don't change their passwords very often. Because this estimate may be outdated, suppose that you want to carry out a new survey to estimate the proportion of students at your school who do not change their password. You would like to determine the sample size required to estimate this proportion with a margin of error of 0.05.

(a)

Using 0.65 as a preliminary estimate, what is the required sample size if you want to estimate this proportion with a margin of error of 0.05? (Round your answer up to the nearest integer.)

(b)

How does the sample size in part (a) compare to the sample size that would result from using the conservative value of 0.5? (Round your answer up to the nearest integer.)

The sample size in part (a) [[is smaller than]] the sample size of ___??___computed using the conservative estimate.

(c)

What sample size would you recommend? Justify your answer. (Round your sample size up to the nearest integer.)

The sample size of __??___  should be used for this study because it will guarantee a margin of error of no greater than 0.05. The other sample size computed will only guarantee a margin of error no greater than 0.05 if p > __??__ or if p < __??__

In fall 2010, students in my 2 p.m. section of the Introduction to Biological Science I class reported their height
below on the first column of the table, while my 5 p.m. section reported their height on the second column. I
wondered: are the average heights of these two sections significantly different?
Students’ height in
Introduction to Biological
Science I courses (inches)
2 pm 5 pm
70 67
69 61
67 59
62 62
70 62
69 68
66 67
63 68
68 69
63 61
76 69
59 66
62 62
62 62
75 61
62 70
72 58
63 61
Use the data table provided and conduct your calculation on the excel sheet to answer the following questions (DO NOT
use the T.TEST or T.DIST formulas on Excel until it is requested in the questions. Use Average, STDEV, etc. to avoid
rounding error):
(1) Based on the nature of the data, you identify and determine that _____ t-test is the most appropriate test to
evaluate the difference in height between the 2pm and 5pm student populations.
Answer: ___________ (Please answer with a or b only)
a. paired t-test
b. two sample (independent) t-test
(2) The alternative hypothesis is:
Answer: ___________ (Check all that apply) (Please answer with letter a-g only; Please arrange your answer in
alphabetic order with no comma or space in between, for example, ab, bc, abc or abcd)
a. The mean different in height from the 2pm and 5 pm student populations is equal to zero.
b. The mean different in height from the 2pm and 5 pm student populations is NOT zero.
c. The mean different in height from the 2pm and 5 pm student populations larger than zero.
d. Population mean difference in height between the 2pm and 5pm classes µ5pm - µ2pm = 0
e. Population mean difference in height between the 2pm and 5pm classes µ5pm - µ2pm ≠ 0
f. Population mean difference in height between the 2pm and 5pm classes µ5pm - µ2pm > 0
g. Population mean difference in height between the 2pm and 5pm classes µ5pm - µ2pm < 0
(3) Sample size N for the 2pm student population = ___________ (answer whole number only)
Sample size N for the 5pm student population = ___________ (answer whole number only)
(4) Degree of freedom = ___________ (answer whole number only)
(5) calculated t value = ___________ (Please report your answer to 3 decimal places.)

The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040. Assume that the standard deviation is $4600. The IRS plans to draw a 1000 sample of tax returns to study the effect of new tax law.

A) What is the probability that the sample mean tax is less than $8100? Round the answer to at least four decimal places. The probability that the sample mean tax is less than $8100 is...?

B) What is the probability that the sample mean tax is between $7500 and $8100? Round the answer to at least four decimal places. The probability that the sample mean tax is between $7500 and $8100 is...?

C) Find the 70^th percentile of the sample mean. Round the answer to at least two decimal places.

D) Would it be unusual if the sample mean were less than $7800? Round answer to at least four decimal places. It would/would not be unusual because the probability of the sample mean being less than $7800 is...?

E) Do you think it would be unusual for an individual to pay a tax of less than $7800? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. Yes/No, because the probability that an individual pays a tax less than $7800 is...?