In a particular year, 68% of online courses taught at a system
of community colleges were taught by full-time faculty. To test if
68% also represents a particular state's percent for full-time
faculty teaching the online classes, a particular community college
from that state was randomly selected for comparison. In that same
year, 31 of the 44 online courses at this particular community
college were taught by full-time faculty. Conduct a hypothesis test
at the 5% level to determine if 68% represents the state in
question.
Note: If you are using a Student's t-distribution for the
problem, you may assume that the underlying population is normally
distributed. (In general, you must first prove that assumption,
though.)
A. State the distribution to use for the test. (Round your
standard deviation to four decimal places.)
P' ~ ________ (________,_________)
B. What is the test statistic? (Round your answer to two decimal places.)
C. What is the p-value? (Round your answer to four decimal places.)
D. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.
(i) Alpha:
α =
E. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)
In: Statistics and Probability
Reliable Manufacturing, Inc. is a calendar year, accrual method C Corporation that is the business of manufacturing widgets. Its taxable income averages $2,000,000 each year. On June 1, 2010, Reliable Manufacturer purchased a new manufacturing building in Minneapolis for $2,500,00. The land was allocated $500,000 and the building was allocated $2,000,000 of the purchase price. The building will be placed in service immediately upon purchase. Reliable Manufacturer occupied the building from June 1, 2010 through October 29, 2017. Reliable Manufacturer has entered into a purchase agreement to sell the land and the manufacturing building on October 29, 2017. a) What is the maximum tax cost recovery deduction Reliable Manufacturer can take on the manufacturing building in 2010? Please show your work and explain your calculations. b) What is the maximum tax cost recovery deduction Reliable Manufacturer can take on the manufacturing building in 2015 and 2016? Please show you work and explain your calculations. c) What is the maximum tax cost recovery deduction Reliable Manufacturer can take on the manufacturing building in 2017? Please show your work and explain your calculations.
In: Accounting
RFK Limited expects earnings this year of $ 4.16 per share, and it plans to pay a $ 2.59 dividend to shareholders. RFK will retain $ 1.57 per share of its earnings to reinvest in new projects which have an expected return of 15.8 % per year. Suppose RFK will maintain the same dividend payout rate, retention rate and return on new investments in the future and will not change its number of outstanding shares.
a. RFK's growth rate of earnings is nothing%. (Round to one decimal place.)
b. If RFK's equity cost of capital is 11.7 %, then RFK's share price will be $ nothing. (Round to the nearest cent.)
c. If RFK paid a dividend of $ 3.59 per share this year and retained only $ 0.57 per share in earnings, then RFK's share price would be $ nothing. (Round to the nearest cent.) Should RFK follow this new policy? (Select the best choice below.)
A. Yes, RFK should raise dividends because, according to the dividend-discount model, doing so will always improve the share price.
B. No, RFK should not raise dividends because companies should always reinvest as much as possible.
C. No, RFK should not raise dividends because the projects are positive NPV.
D. Yes, RFK should raise dividends because the return on new investments is lower than the cost of capital.
In: Finance
Bonnie J, a 4o0 year old woman with past history of kidney infections
In: Nursing
The average “moviegoer” sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 40 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The population standard deviation is 3.2 movies. At the 0.05 level of significance, can it be concluded that this represents a difference from the national average?
STEP 1. State the null and alternate hypothesis
The hypotheses are (Enter an UPPER CASE Letter Only.)
STEP 2. State the critical value(s). Enter the appropriate letter.
z =
STEP 3. Calculate the test value
z =
STEP 4. Make the decision by rejecting or not rejecting the null hypothesis. Since the test value falls in the non-rejection region, we do not reject the null hypothesis.
Conclusion 1. Reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is not different from 8.5.
Conclusion 2. Reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is different from 8.5.
Conclusion 3. Do not reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is different from 8.5.
Conclusion 4. Do not reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is 8.5.
(Enter a number only from the list 1, 2, 3, or 4)
In: Statistics and Probability
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 12; 6; 15; 5; 11; 10; 6; 8. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) A.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) B.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) C.) What is the p-value? (Round your answer to four decimal places.) D.) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) E.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to three decimal places.)
In: Statistics and Probability
Waterways Corporation is preparing its budget for the coming
year, 2020. The first step is to plan for the first quarter of that
coming year. The company has gathered information from its managers
in preparation of the budgeting process.
| Sales | ||
| Unit sales for November 2019 | 113,000 | |
| Unit sales for December 2019 | 101,000 | |
| Expected unit sales for January 2020 | 114,000 | |
| Expected unit sales for February 2020 | 111,000 | |
| Expected unit sales for March 2020 | 117,000 | |
| Expected unit sales for April 2020 | 124,000 | |
| Expected unit sales for May 2020 | 139,000 | |
| Unit selling price | $12 |
Waterways likes to keep 10% of the next month’s unit sales in
ending inventory. All sales are on account. 85% of the Accounts
Receivable are collected in the month of sale, and 15% of the
Accounts Receivable are collected in the month after sale. Accounts
receivable on December 31, 2019, totaled $181,800.
Direct Materials
Direct materials cost 80 cents per pound. Two pounds of direct
materials are required to produce each unit.
Waterways likes to keep 5% of the materials needed for the next
month in its ending inventory. Raw Materials on December 31, 2019,
totaled 11,370 pounds. Payment for materials is made within 15
days. 50% is paid in the month of purchase, and 50% is paid in the
month after purchase. Accounts Payable on December 31, 2019,
totaled $102,870.
| Direct Labor |
| Labor requires 12 minutes per unit for completion and is paid at a rate of $9 per hour. |
| Manufacturing Overhead | ||||
| Indirect materials | 30¢ | per labor hour | ||
| Indirect labor | 50¢ | per labor hour | ||
| Utilities | 50¢ | per labor hour | ||
| Maintenance | 20¢ | per labor hour | ||
| Salaries | $43,000 | per month | ||
| Depreciation | $18,200 | per month | ||
| Property taxes | $2,900 | per month | ||
| Insurance | $1,100 | per month | ||
| Maintenance | $1,200 | per month | ||
| Selling and Administrative | |||
| Variable selling and administrative cost per unit is $1.60. | |||
| Advertising | $16,000 | a month | |
| Insurance | $1,300 | a month | |
| Salaries | $72,000 | a month | |
| Depreciation | $2,600 | a month | |
| Other fixed costs | $3,100 | a month | |
Other Information
The Cash balance on December 31, 2019, totaled $100,000, but
management has decided it would like to maintain a cash balance of
at least $700,000 beginning on January 31, 2020. Dividends are paid
each month at the rate of $2.30 per share for 4,910 shares
outstanding. The company has an open line of credit with Romney’s
Bank. The terms of the agreement requires borrowing to be in $1,000
increments at 9% interest. Waterways borrows on the first day of
the month and repays on the last day of the month. A $500,000
equipment purchase is planned for February.
For the first quarter of 2020, prepare a cash budget. (Round answers to 0 decimal places, e.g. 2,520.)
In: Accounting
Not just shoes and handbags
Zentos is an $800 million a year online retailer of shoes and handbags. Zentos prides itself on its superior customer service and views this as a way of becoming an online store selling just about anything. Most online retailers and brick-and-mortar stores say they focus on their customers. What makes Zentos so special is that they really do.
New shoes for mom
Cecelia bought several pairs of shoes from Zentos for her ailing mother. She was unsure about the size as her mother had lost a lot of weight and her shoe size had changed. Zentos has free return shipping with UPS, so Cecelia was not worried about the cost to return those shoes that did not fit her mother. Only two pairs of shoes fit. Cecelia had intended to return the others, but her mother died, and returning the shoes slipped her mind. She got an email from Zentos asking her about the shoes. Cecelia replied that her mother had just died and that she would send the shoes back soon.
That little something extra
Zentos emailed Cecelia back saying UPS would pick up the shoes for return so she would not have to make the trip to UPS. This was not Zentos’ general policy. The next day, Zentos sent Cecelia a big, beautiful flower arrangement. This was definitely not Zentos’ policy! This was something one compassionate person (who happened to work at Zentos) did for another person. The amazing part was that Zentos was flexible enough to allow this extraordinary gesture to happen.
Spreading the news
Cecelia was so moved by Zentos’ show of compassion that she posted on the Great Customer Service blog telling the world about what Zentos had done for her. Her post was viewed by millions of people, many of whom responded with blogs postings of their own saying how they would be making their next shoe purchase at Zentos. The company delivered on its superior customer service promise - look where it got them.
What is your recommendation for zentos?
In: Operations Management
A PO and IO class of securities is formed backed by a $7,500,000 pool of 10-year FRMs making annual payments with a 10% interest rate. There are no prepayments or servicer/guarantee fee. What is the present value of the PO class if the discount/market rate is 9%? Excel is recommended for this problem
In: Finance
A company issues a $10,000 bond with an interest rate of 4% per year. Interest is paid once per year, and it will mature in 5 years. Investors expect bonds of similar risk and maturity to pay interest of 7%: Show work
a.
Calculate the selling price of the bond. Round to two decimal places.
b. Record the journal entry that the company would record when this bond is issued
c. Record the journal entry for the first interest payment
In: Accounting