Calibrating a scale: Making sure that the scales used by businesses in the United States are accurate is the responsibility of the National Institute for Standards and Technology (NIST) in Washington, D.C. Suppose that NIST technicians are testing a scale by using a weight known to weigh exactly 1000 grams. The standard deviation for scale reading is known to be σ=2.6. They weigh this weight on the scale 44 times and read the result each time. The 44 scale readings have a sample mean of x=1000.4 grams. The scale is out of calibration if the mean scale reading differs from 1000 grams. The technicians want to perform a hypothesis test to determine whether the scale is out of calibration. Use the α=0.05 level of significance and the P-value method with the table.
1) State the appropriate null and alternate hypotheses.
H0:
H1:
This hypothesis test is a two tailed, right or left test?
2) Compute the value of the test statistic. Round the answer to at
least two decimal places.
3)Find the P-value. Round the answer to at least four decimal places.
4) Determine whether to reject H0.
reject or do not reject the null hypothesis H0?
5) State a conclusion.
There is or is not enough evidence to conclude that the calibration point Is set too high, calibration point is set too low or scale is out of calibration
In: Statistics and Probability
Between about December 2007 and June 2009, the United States was considered to be in a recession. The U.S. Gross Domestic Product fell approximately 3% from the third quarter of 2008 to the third quarter of 2009. Also, during December 2007 and June 2009, the Standard and Poor’s 500 index dropped by 38% and the unemployment rate climbed from 5% to 9.5%.
The macroeconomic situation affected almost all companies since higher unemployment affected personal consumption, which dropped from 10,140.3 Billion Dollars in Aug 2008 to 9,807 Billion Dollars in June 2009, a drop of 3.8 percent.
Starbucks is one of the companies affected by the December 2007 recession. The following table shows several ratios for Starbucks corresponding to the years 2006, 2007, and 2008. Use a stock price of 10.9 dollars per share for the year 2009.
|
Year |
2006 |
2007 |
2008 |
2009 |
|
ROE |
0.253 |
0.294 |
0.127 |
|
|
ROA |
0.106 |
0.126 |
0.056 |
|
|
ROIC |
0.207 |
0.250 |
0.121 |
|
|
Asset Turnover |
1.758 |
1.761 |
1.830 |
|
|
Op. Profit Margin |
0.115 |
0.746 |
0.048 |
|
|
Long Term Debt Ratio |
0.0009 |
0.241 |
0.221 |
|
|
D/E Ratio |
0.987 |
1.340 |
1.277 |
|
|
Current Ratio |
0.970 |
0.787 |
0.798 |
|
|
Quick Ratio |
0.462 |
0.466 |
0.482 |
|
|
Payout Ratio |
0.000 |
0.000 |
0.000 |
|
|
Plowback Ratio |
1.000 |
1.000 |
1.000 |
|
|
Market to Book Ratio |
6.088 |
3.099 |
1.374 |
|
|
Stock Price Used for Mark/Book |
17.71 |
9.450 |
4.68 |
By using the financial statements provided, calculate the ratios presented in the table for the year 2009 and answer the following questions:
e- In what ratio can you see the change in the mix of debt and equity reflected?
g- Did the quick ratio increase or decrease between the years 2007 and 2009?
h- Explain why you expect the quick ratio to increase or decrease during a recession?
j- What areas should Starbucks improve for the years 2010 onwards, if any?
Annual report:
http://media.corporate-ir.net/media_files/irol/99/99518/SBUX_AR.pdf
Expert Answer
In: Finance
1. Explicit collusion by members of a cartel is illegal in the United States and many other countries. Nonetheless, cartels do manage to form and, in some cases, persist for extended periods. Can you identify actions cartel members could take that might help them coordinate their actions but stop short of explicit agreements?
2. List five examples of markets that you would consider to be oligopolies (a few firms engaged in strategic competition). For each example, explain whether you think the market is an example of Cournot or Bertrand competition (or neither).
3. Discuss why product differentiation is an important feature of many oligopoly markets. What is the effect of increased differentiation on the profitability of the firms in the market?
Please answer all the three questions by one paragraph for each in one posting.
In: Economics
Between about December 2007 and June 2009, the United States was considered to be in a recession. The U.S. Gross Domestic Product fell approximately 3% from the third quarter of 2008 to the third quarter of 2009. Also, during December 2007 and June 2009, the Standard and Poor’s 500 index dropped by 38% and the unemployment rate climbed from 5% to 9.5%.
The macroeconomic situation affected almost all companies since higher unemployment affected personal consumption, which dropped from 10,140.3 Billion Dollars in Aug 2008 to 9,807 Billion Dollars in June 2009, a drop of 3.8 percent.
Starbucks is one of the companies affected by the December 2007 recession. The following table shows several ratios for Starbucks corresponding to the years 2006, 2007, and 2008. Use a stock price of 10.9 dollars per share for the year 2009.
|
Year |
2006 |
2007 |
2008 |
|
ROE |
0.253 |
0.294 |
0.127 |
|
ROA |
0.106 |
0.126 |
0.056 |
|
ROIC |
0.207 |
0.250 |
0.121 |
|
asset turnover |
1.758 |
1.761 |
1.830 |
|
op. profit margin |
0.115 |
0.746 |
0.048 |
|
long term debt ratio |
0.0009 |
0.241 |
0.221 |
|
D/E ratio |
0.987 |
1.340 |
1.277 |
|
current ratio |
0.970 |
0.787 |
0.798 |
|
quick ratio |
0.462 |
0.466 |
0.482 |
|
payout ratio |
0.000 |
0.000 |
0.000 |
|
plowback ratio |
1.000 |
1.000 |
1.000 |
|
market to book ratio |
6.088 |
3.099 |
1.374 |
|
stock price used for market/book |
17.71 |
9.450 |
4.68 |
By using the financial statements provided, calculate the ratios presented in the table for the year 2009 and answer the following questions:
a- Were sales per dollar of assets impacted by the recession?
a. Yes
b. no
b- , which ratio shows the impact of the recession on sales per dollar of assets?
a. ROA
b. Asset turnover ratio
c. Quick ratio
d. ROE
c- Did the company operating profit margin increased, decreased, or was the same, between the years 2007 and 2009?
a. Increase
b. Decrease
c. Did Not change
d- Did the mix of debt and equity changed for Starbucks between the years 2007 and 2009?,
a. Yes
b. no
e- In what ratio can you see the change in the mix of debt and equity reflected?
a. Current ratio
b. Quick ratio
c. Debt to equity ratio
d. Payout ratio
f- Did the value added by management, reflected in market to book ratio, increased or decreased between the years 2007 and 2009?
a. Increased
b. decreased
g- Did the quick ratio increase or decrease between the years 2007 and 2009?
a. Increase
b. decrease
h- Explain why you expect the quick ratio to increase or decrease during a recession?
i- Use the ratios for the years 2007 and 2009 to explain if, in your view, Starbucks is in a better or worse situation in the year 2009 due to the recession.
j- What areas should Starbucks improve for the years 2010 onwards, if any?
In: Finance
The average age of all vehicles registered in the united states is 96 months with the population standard deviation of 16 months. If a random sample of 36 vehicles is selected, find the probability that the mean of their age is between 90 an 100 months. Group of answer choices 92.1% 93.3% 62.4% 12.2%
In: Statistics and Probability
For most of the 1800s, the United States did not recognize the copyrights of books written by foreign authors. As a result, many U.S. publishers printed “pirated”—unauthorized—editions of Charles Dickens and other British authors without paying them royalties. A history of book publishing noted, “[U.S.] publishers claimed that pirating [foreign] works allowed their prices to remain low, which in turn made the works more accessible to the public at large.” There were (eventually successful) attempts in Congress to recognize foreign copyrights in exchange for other countries recognizing U.S. copyrights. At the time, one U.S. publisher described these efforts as the “clamor of two hundred authors against the interests of fifty-five million people.” Do copyright laws benefit authors at the expense of readers? If so, why does the U.S. Constitution give Congress the right to enact copyright laws?
In: Economics
The table below shows the number of cars (in millions) sold in the United States for various years and the percent of those cars manufactured by GM. Year Cars Sold (millions) Percent GM Year Cars Sold (millions) Percent GM 1950 6.0 50.2 1985 15.4 40.1 1955 7.8 50.4 1990 13.5 36.0 1960 7.3 44.0 1995 15.5 31.7 1965 10.3 49.9 2000 17.4 28.6 1970 10.1 39.5 2005 16.9 26.9 1975 10.8 43.1 2010 11.6 19.1 1980 11.5 44.0 2015 17.5 17.6
Use a statistical software package to answer the following questions. A. Calculate the following: x (with a bar on top of it), y (with a bar on top of it), and s subscript y. B. State the decision rule for 0.01 significance level: H0: ? ? 0; H1: ? < 0. Reject H0 if t < ?. C. Compute the value of the test statistic.
In: Statistics and Probability
The table below shows the life expectancy for an individual born in the United States in certain years. Year of Birth Life Expectancy 1930 59.7 1940 62.9 1950 70.2 1965 69.7 1973 71.4 1982 74.5 1987 75 1992 75.7 2010 78.7 For the least squares line Y(hat) = bX + a a = (#.##) b = (#.##) r = (#.####); p (< or > or =) alpha The estimated life expectancy for an individual born in 1950 and for one born in 1982 is and , respectively. (#.##)
In: Statistics and Probability
In a survey of 1470 adults from the United States, 221 said that of all the presidents in our nations history, they most admired Abraham Lincoln.
Use the information above to answer the following.
1) Identify x:
2) Identify n:
3) Identify pˆp^
4) Identify qˆq^
Construct a 90% confidence interval for the proportion of adults who say that of all the presidents in our nation's history , they most admire Abraham Lincoln.
5) Identify the zα/2zα/2
6) Identify the Error (E):
7) Write the confidence interval use the values you found above:
In: Statistics and Probability
The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $10,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the 0.025 significance level is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised? 12.4 8.5 10.1 12.6 10.5 9.1 9.8 11.2
a. State the null hypothesis and the alternate hypothesis. Use a .025 level of significance. (Enter your answers in thousands of dollars.) H0: μ ≥ H1: μ <
b. State the decision rule for 0.025 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Reject H0 if t <
c. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Value of the test statistic
d. What is the conclusion regarding the null hypothesis? H0. The cost is than $10,000.
In: Statistics and Probability