Single data values (in hours): 3, 1, 4, 5, 5, 2, 2.5, 3.5, 4, 4.5, 0, 2, 2, 2.5, 3.5, 4, 4, 4, 4, 2, 3.5, 3.5, 2, 3, 4, 4, 3, 3, 3, 1
Claim: It was found that the mean time spent watching TV daily was 4 hours. A researcher claims that he believes the mean time spent watching TV is truly lower. The mean time spent watching TV daily is less than 4 hours.
Null Hypothesis: H0: μ=4 hours Alternative Hypothesis: Ha: μ<4 hours
1. What is the t-statistic? What is the P-value? What is the conclusion:
2. Create a claim based off of the data below and state the claim.
|
Athletes |
Non-athletes |
|
3.7 |
2.5 |
|
3.1 |
4.1 |
|
4.2 |
4.2 |
|
4.2 |
4.2 |
|
3.4 |
3.0 |
|
3.7 |
3.8 |
|
2.1 |
2.1 |
|
3.5 |
2.7 |
|
3.6 |
1.8 |
|
4.0 |
2.0 |
|
2.9 |
3.6 |
|
3.2 |
3.9 |
|
2.9 |
2.6 |
|
3.5 |
2.8 |
|
3.6 |
3.1 |
|
3.4 |
3.5 |
|
2.9 |
3.5 |
|
3.9 |
3.6 |
|
2.8 |
2.9 |
|
3.1 |
2.7 |
|
3.1 |
3.2 |
|
3.6 |
3.3 |
|
2.6 |
3.4 |
|
3.8 |
1.9 |
|
3.4 |
1.9 |
|
3.4 |
3.1 |
|
3.4 |
2.7 |
|
3.2 |
1.8 |
|
2.8 |
3.0 |
|
3.7 |
2.2 |
Null Hypothesis
Alternative Hypothesis
Test Statistic
P-value
Conclusion – reject or fail to reject null.
Interpretation - final conclusion.
In: Statistics and Probability
Levi-Strauss Co manufactures clothing. The quality control department measures weekly values of different suppliers for the percentage difference of waste between the layout on the computer and the actual waste when the clothing is made (called run-up). The data is in table #11.3.3, and there are some negative values because sometimes the supplier is able to layout the pattern better than the computer ("Waste run up," 2013). Do the data show that there is a difference between some of the suppliers? Test at the 1% level.
Table #11.3.3: Run-ups for Different Plants Making Levi Strauss Clothing
|
Plant 1 |
Plant 2 |
Plant 3 |
Plant 4 |
Plant 5 |
|
1.2 |
16.4 |
12.1 |
11.5 |
24 |
|
10.1 |
-6 |
9.7 |
10.2 |
-3.7 |
|
-2 |
-11.6 |
7.4 |
3.8 |
8.2 |
|
1.5 |
-1.3 |
-2.1 |
8.3 |
9.2 |
|
-3 |
4 |
10.1 |
6.6 |
-9.3 |
|
-0.7 |
17 |
4.7 |
10.2 |
8 |
|
3.2 |
3.8 |
4.6 |
8.8 |
15.8 |
|
2.7 |
4.3 |
3.9 |
2.7 |
22.3 |
|
-3.2 |
10.4 |
3.6 |
5.1 |
3.1 |
|
-1.7 |
4.2 |
9.6 |
11.2 |
16.8 |
|
2.4 |
8.5 |
9.8 |
5.9 |
11.3 |
|
0.3 |
6.3 |
6.5 |
13 |
12.3 |
|
3.5 |
9 |
5.7 |
6.8 |
16.9 |
|
-0.8 |
7.1 |
5.1 |
14.5 |
|
|
19.4 |
4.3 |
3.4 |
5.2 |
|
|
2.8 |
19.7 |
-0.8 |
7.3 |
|
|
13 |
3 |
-3.9 |
7.1 |
|
|
42.7 |
7.6 |
0.9 |
3.4 |
|
|
1.4 |
70.2 |
1.5 |
0.7 |
|
|
3 |
8.5 |
|||
|
2.4 |
6 |
|||
|
1.3 |
2.9 |
In: Statistics and Probability
Data on petrol prices was collected for the Royal Automobile Club of Queensland by FuelTrac Pty Ltd. The data was collected in Toowoomba, Queensland over a nine month period from September 2002 to May 2003 with the aim of investigating complaints about excessive price differences between lead replacement petrol and unleaded petrol.
The data are monthly average fuel prices. There are nine observations on three variables.
Month The month
Unleaded The monthly average price of unleaded petrol (in cents per litre)
LRP The monthly average price of lead replacement petrol (LRP) (in cents per litre)
For each month the difference in prices is calculated and the values are shown in the table below:
Month Diff
Sep 3.4
Oct 3.6
Nov 3.7
Dec 3.8
Jan 3.9
Feb 3.7
Mar 3.8
Apr 4
May 4
You may assume that the differences in prices is normally distributed. Some computer output appears below:
One Variable Summary. Unleaded LRP Dif
Mean 85.278 89.044 3.7667
Std. Dev. 4.845 4.893 0.1936
Count 9 9 9
a) Is the lead replacement petrol more expensive than unleaded petrol? Explain why or why not? Your answer should be in the form of a hypothesis test. Justify any assumptions that need to be made in order for your results to be reliable.
b) Construct a 95% confidence interval for the average price difference between lead replacement petrol and unleaded petrol.
In: Statistics and Probability
|
Levi-Strauss Co manufactures clothing. The quality control department measures weekly values of different suppliers for the percentage difference of waste between the layout on the computer and the actual waste when the clothing is made (called run-up). The data is in Table #11.3.3, below, and there are some negative values because sometimes the supplier is able to layout the pattern better than the computer (Waste run up, 2013). (11.3.2) Do the data show that there is a difference between some of the suppliers? Test at the 1% level. Show work without Excel or calculator Table #11.3.3: Run-ups for Different Plants Making Levi Strauss Clothing
|
In: Statistics and Probability
A)Test the significance of the population correlation coefficient r (t-test using α = 5%)
B)Test the significance of the population regression coefficient b1 (t-test using α = 5%)
C)Interpret the Coefficient of Determination as measure of the goodness of the fit (R2). Data sets are below and Thanks!
| Unemployment | Inflation |
| 4.0 | 3.0 |
| 4.1 | 4.1 |
| 4.0 | 5.9 |
| 3.8 | -0.6 |
| 4.0 | 1.8 |
| 4.0 | 5.8 |
| 4.0 | 2.9 |
| 4.1 | 0.0 |
| 3.9 | 5.2 |
| 3.9 | 1.7 |
| 3.9 | 1.7 |
| 3.9 | 2.3 |
| 4.2 | 5.7 |
| 4.2 | 2.3 |
| 4.3 | 0.6 |
| 4.4 | 1.7 |
| 4.3 | 5.1 |
| 4.5 | 2.3 |
| 4.6 | -1.7 |
| 4.9 | 0.0 |
| 5.0 | 4.0 |
| 5.3 | -2.8 |
| 5.5 | -0.6 |
| 5.7 | -0.6 |
| 5.7 | 1.7 |
| 5.7 | 1.7 |
| 5.7 | 3.4 |
| 5.9 | 3.9 |
| 5.8 | 0.6 |
| 5.8 | 1.1 |
| 5.8 | 2.2 |
| 5.7 | 2.8 |
| 5.7 | 1.7 |
| 5.7 | 2.2 |
| 5.9 | 1.7 |
| 6.0 | 1.1 |
| 5.8 | 3.3 |
| 5.9 | 5.5 |
| 5.9 | 4.4 |
| 6.0 | -4.4 |
| 6.1 | -0.6 |
| 6.3 | 1.1 |
| 6.2 | 2.2 |
| 6.1 | 3.8 |
| 6.1 | 2.7 |
| 6.0 | -0.5 |
| 5.9 | -1.1 |
| 5.7 | 2.2 |
| 5.7 | 4.3 |
| 5.6 | 3.2 |
| 5.7 | 4.3 |
| 5.5 | 1.1 |
| 5.6 | 5.9 |
| 5.6 | 3.2 |
| 5.5 | 0.0 |
| 5.4 | 1.1 |
| 5.4 | 1.6 |
| 5.4 | 5.8 |
| 5.4 | 2.1 |
| 5.4 | 0.0 |
| 5.2 | 1.1 |
| 5.4 | 3.7 |
| 5.1 | 5.7 |
| 5.1 | 4.7 |
| 5.1 | -0.5 |
| 5.0 | -0.5 |
| 5.0 | 6.2 |
| 4.9 | 5.6 |
| 5.1 | 12.2 |
| 4.9 | 2.5 |
| 5.0 | -6.5 |
| 4.9 | -0.5 |
In: Math
A)Test for significance of the Coefficient of Determination (F-test using α = 5%)
B) Construct and interpret the confidence interval for the population regression coefficient b1 (use 1-α = 95%). Data set below and Thanks!
| Unemployment | Inflation |
| 4.0 | 3.0 |
| 4.1 | 4.1 |
| 4.0 | 5.9 |
| 3.8 | -0.6 |
| 4.0 | 1.8 |
| 4.0 | 5.8 |
| 4.0 | 2.9 |
| 4.1 | 0.0 |
| 3.9 | 5.2 |
| 3.9 | 1.7 |
| 3.9 | 1.7 |
| 3.9 | 2.3 |
| 4.2 | 5.7 |
| 4.2 | 2.3 |
| 4.3 | 0.6 |
| 4.4 | 1.7 |
| 4.3 | 5.1 |
| 4.5 | 2.3 |
| 4.6 | -1.7 |
| 4.9 | 0.0 |
| 5.0 | 4.0 |
| 5.3 | -2.8 |
| 5.5 | -0.6 |
| 5.7 | -0.6 |
| 5.7 | 1.7 |
| 5.7 | 1.7 |
| 5.7 | 3.4 |
| 5.9 | 3.9 |
| 5.8 | 0.6 |
| 5.8 | 1.1 |
| 5.8 | 2.2 |
| 5.7 | 2.8 |
| 5.7 | 1.7 |
| 5.7 | 2.2 |
| 5.9 | 1.7 |
| 6.0 | 1.1 |
| 5.8 | 3.3 |
| 5.9 | 5.5 |
| 5.9 | 4.4 |
| 6.0 | -4.4 |
| 6.1 | -0.6 |
| 6.3 | 1.1 |
| 6.2 | 2.2 |
| 6.1 | 3.8 |
| 6.1 | 2.7 |
| 6.0 | -0.5 |
| 5.9 | -1.1 |
| 5.7 | 2.2 |
| 5.7 | 4.3 |
| 5.6 | 3.2 |
| 5.7 | 4.3 |
| 5.5 | 1.1 |
| 5.6 | 5.9 |
| 5.6 | 3.2 |
| 5.5 | 0.0 |
| 5.4 | 1.1 |
| 5.4 | 1.6 |
| 5.4 | 5.8 |
| 5.4 | 2.1 |
| 5.4 | 0.0 |
| 5.2 | 1.1 |
| 5.4 | 3.7 |
| 5.1 | 5.7 |
| 5.1 | 4.7 |
| 5.1 | -0.5 |
| 5.0 | -0.5 |
| 5.0 | 6.2 |
| 4.9 | 5.6 |
| 5.1 | 12.2 |
| 4.9 | 2.5 |
| 5.0 | -6.5 |
| 4.9 | -0.5 |
In: Math
Use the information below for Finch Company to answer the question that follow.
Finch Company began its operations on March 31 of the current year.
Finch has the following projected costs:
| April | May | June | |
| Manufacturing costs (1) | $157,800 | $192,400 | $205,800 |
| Insurance expense (2) | 940 | 940 | 940 |
| Depreciation expense | 2,050 | 2,050 | 2,050 |
| Property tax expense (3) | 520 | 520 | 520 |
(1) Of the manufacturing costs, three-fourths are paid for in the
month they are incurred and one-fourth is paid for in the following
month.
(2) Insurance expense is $940 a month; however, the insurance is
paid four times yearly, in the first month of the quarter (i.e.,
January, April, July, and October).
(3) Property tax is paid once a year in November.
The cash payments expected for Finch Company in the month of April
are
a.$118,350
b.$139,485
c.$121,170
d.$157,800
In: Accounting
1）Suppose a condo generates $13,000 in cash flows in the first year. If the cash flows grow at 2% per year, the interest rate is 11%, and the building will be sold at the end of 19 years with a value of $90,000, what is the present value of the condo's cash flow?
2）Suppose you save $5,500 at the end of every quarter for your retirement. If you can earn 10% per year (APR) on your investments, how much will you have saved by the time you retire in 15 years?
3）An investment promises to pay you $3,000 per year starting in 6 years. The cash flow from the investment is expected to increase by 2% per year forever. If alternative investments of similar risk earn a return of 13% per year, determine the maximum you would be willing to pay for this investment today.
In: Finance
1. Classify this news event as Systematic or Unsystematic and indicate whether prices will increase or decrease.
US home construction drops 30.2% in April as virus rages.
|
Systematic, Increase |
||
|
Systematic, Decrease |
||
|
Unsystematic, Increase |
||
|
Unsystematic, Decrease |
2. Classify this news event as Systematic or Unsystematic and indicate whether prices will increase or decrease.
Home Depot's sales soared in the first quarter, despite an increase in costs due to the coronavirus.
|
Systematic, Increase |
||
|
Systematic, Decrease |
||
|
Unsystematic, Increase |
||
|
Unsystematic, Decrease |
3. Classify this news event as Systematic or Unsystematic and indicate whether prices will increase or decrease.
Walmart says it will discontinue Jet, which it acquired for $3B in 2016
|
Systematic, Increase |
||
|
Systematic, Decrease |
||
|
Unsystematic, Increase |
||
|
Unsystematic, Decrease |
4. A stock with a price of $10 per share must have a lower market capitalization than a stock with $100 per share.
In: Finance
A company has three employees. Total salaries for the month of
March were $8,000. The federal income tax rate for all employees is
15%. The FICA—Social Security tax rate is 6.2% and the
FICA—Medicare tax rate is 1.45%.
A. Calculate the amount of employee taxes withheld
B. Prepare the company's journal entry to record the March payroll
assuming these were the only deductions.
C. Prepare the April 1 journal entry to record the cash payment of
salaries.
D. Include a brief description/explanation for the journal
entries
E. Provide an explanation of the next steps the company should
complete to finish the payroll process for March. Since March is
the end of the first quarter for the company, in your explanation,
include the form the company should prepare and file with the IRS
at the end of March (Hint: Employers are required to prepare and
submit certain payroll reports and forms)
In: Accounting