A manager at a furniture production plant created an incentive plan for her carpenters in order to decrease the number of defects in the furniture production. She wants to check if the incentive plan worked. The manager selected 9 carpenters at random, recorded their annual defects before and after the incentive and came up with the following:
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Notice, that a positive outcome of an incentive plan is confirmed with a positive mean of the differences (difference equals before minus after).
Given that the null hypothesis and the alternative hypothesis are:
H0: μd ≤ 0
H1: μd > 0
and using a 0.1 significance level, answer the following:
| a) | State the decision rule.
|
b) Compute the mean of the difference.
For full marks your answer should be accurate to at least two
decimal places.
Mean: 0
c) What is the value of the test statistic?
For full marks your answer should be accurate to at least two
decimal places.
Test statistic: 0
| d) | What is your decision regarding H0?
|
In: Statistics and Probability
Question 4 options:
To determine if Reiki is an effective method for treating pain, a pilot study was carried out where a certified second-degree Reiki therapist provided treatment on volunteers. Pain was measured using a visual analogue scale (VAS) immediately before and after the Reiki treatment (Olson & Hanson, 1997). The data is in is in following table:
Table: Pain Measures Before and After Reiki Treatment
|
VAS before |
VAS after |
|
6 |
3 |
|
2 |
1 |
|
2 |
0 |
|
9 |
1 |
|
3 |
0 |
|
3 |
2 |
|
4 |
1 |
|
5 |
2 |
|
2 |
2 |
|
3 |
0 |
|
5 |
1 |
|
1 |
0 |
|
6 |
4 |
|
6 |
1 |
|
4 |
4 |
|
4 |
1 |
|
7 |
6 |
|
2 |
1 |
|
4 |
3 |
|
8 |
8 |
Does the data show that Reiki treatment reduces pain? Test at the 5% level.
(i) Let μ1= mean VAS before Reiki treatment. Let μ2 = mean VAS after Reiki treatment. Which of the following statements correctly defines the null hypothesis HO?
A. μ1 − μ2 > 0 (μd> 0)
B. μ1 – μ2< 0 (μd< 0)
C. μ1 – μ2 = 0 (μd= 0)
D. μ1 + μ2= 0
Enter letter corresponding to correct answer
(ii) Let μ1= mean VAS before Reiki treatment. Let μ2 = mean VAS after Reiki treatment. Which of the following statements correctly defines the null hypothesis HO?
A. μ1 − μ2 < 0 (μd< 0)
B. μ1 – μ2> 0 (μd> 0)
C. μ1 – μ2 = 0 (μd= 0)
D. μ1 + μ2= 0
Enter letter corresponding to correct answer
(iii) Enter the level of significance α used for this test:
Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10
(iv) Determine sample mean of differences x¯d
Enter in decimal form to nearest hundredth (no spaces) Examples of correctly entered answers:
0.01 3.37 -11.47 21.00
(v) Determine sample standard deviation of differences sd
Enter in decimal form to nearest ten-thousandth. Examples of correctly entered answers:
0.0001 0.0200 3.5607 -0.0074
(vi) Calculate and enter test statistic
Enter value in decimal form rounded to nearest ten-thousandth, with appropriate sign (no spaces). Examples of correctly entered answers:
–2.0104 –0.3070 +1.6000 +11.0019
(vii) Determine degrees of freedom for the sample of differences dfd:
Enter value in integer form. Examples of correctly entered answers:
2 5 9 23 77
(viii) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic.
Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers:
0.0001 0.0021 0.0305 0.6004 0.8143 1.0000
(ix) Comparing p-value and α value, which is the correct decision to make for this hypothesis test?
A. Accept Ho
B. Fail to reject Ho
C. Reject Ho
D. Accept HA
Enter letter corresponding to correct answer.
(x) Select the statement that most correctly interprets the result of this test:
A. The result is statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that the Reiki treatment reduces pain.
B. The result is statistically significant at .05 level of significance. There is not enough evidence to support the claim that the Reiki treatment reduces pain.
C. The result is not statistically significant at .05 level of significance. There is not enough evidence to support the claim that the Reiki treatment reduces pain.
D. The result is not statistically significant at .05 level of significance. Sufficient evidence exists to support the claim that the Reiki treatment reduces pain.
Enter letter corresponding to most correct answer
In: Statistics and Probability
Crane Company issues $5040000, 7%, 5-year bonds dated January 1,
2020 on January 1, 2020. The bonds pay interest semiannually on
June 30 and December 31. The bonds are issued to yield 6%. What are
the proceeds from the bond issue?
| ff | 3.0% | 3.5% | 6% | 7% |
| Present value of a single sum for 5 periods |
0.86261 |
0.84197 | 0.74726 | 0.71299 |
| Present value of a single sum for 10 periods | 0.74409 | 0.70892 | 0.55839 | 0.50835 |
| Present value of an annuity for 5 periods | 4.57971 | 4.51505 | 4.21236 | 4.10020 |
| Present value of an annuity for 10 periods | 8.53020 | 8.31661 | 7.36009 | 7.02358 |
| $5040000 |
| $5254941 |
| $5253441 |
| $5252626 |
In: Accounting
| The following is the Stockholders Equity section of Walmart at December 31, 2020: | 12/31/2020 | 12/31/2021 | |||||
| Common stock, $10 par value, (700,000 shares issued and outstanding) | $7,000,000 | ||||||
| Additional paid-in-capital CS | $4,000,000 | ||||||
| Retained Earnings | $5,600,000 | ||||||
| The following transactions occurred during 2021: | |||||||
| 100,000 shares of common stock were purchased for the treasury at $24 per share | |||||||
| Preferred stock was issued for land. The asking price of the land was $3,500,000. | |||||||
| The value of the land was $3,400,000. | |||||||
| 40,000 shares of treasury stock were sold at $28 per share | |||||||
| 40,000 shares of treasury stock were sold at $21 per share | |||||||
| The remaining 20,000 shares of treasury stock were sold at $17 per share | |||||||
| Journalize the 5 transactions above and fill in the stockholders equity section at December 31, 2021 | |||||||
In: Accounting
In: Economics
Q3. 5 kg of water at T = 20° C and P = 7 bar is isobarically heated such that ΔU = 5000 kJ. (i) Find the initial and final volumes (in m3 ). (ii) Find Q and W (in kJ). (iii) Show the initial and final states on p-υ and T-υ diagrams (not to scale), denoting by arrows the direction of the process. Label the ‘f’ (saturated liquid) and ‘g’ (saturated vapor) points. Also, indicate the values of υf and υg on the x-axis of both the p-υ and T-υ diagrams.
Q4. Water inside a closed, rigid tank is cooled from its critical point to a final pressure of 10 MPa. (i) Sketch the process on p-υ and T-υ diagrams. Label the saturated liquid and saturated vapor states. (ii) Find the quality of the water after cooling. (iii) Calculate the heat transfer in kJ/kg.
Q5. Water of mass 1 kg contained in a piston-cylinder configuration is initially in a saturated liquid state (state A) at 10 bar. The water undergoes the following thermodynamic cycle: AB -> The water is heated isobarically until the water is in a saturated vapor state. BC -> The system is then cooled isochorically until the pressure is 1 bar. CD -> The system is further cooled isobarically until υD= υA. DA -> The system is finally heated isochorically back to state A. (i) Sketch this cycle on p-υ and T-υ diagrams (not to scale), using arrows to indicate the direction of each process. (ii) For each of the four states A to D, write down p, T and υ. (iii) For each of the four processes, evaluate the work and heat transfer (in kJ). (iv) What is the thermal efficiency of this power cycle?
Q6 (Bonus). Water of mass 2 kg in a closed, rigid tank is initially in the form of a twophase liquid-vapor mixture. The initial temperature is 50° C. The mixture is heated until the tank contains only saturated vapor at 110° C. (i) Find the initial pressure, in kPa. (ii) Find the work for the process, in kJ. (ii) Find the heat transfer for the process, in kJ.
In: Mechanical Engineering
The following transactions were completed by Winklevoss Inc., whose fiscal year is the calendar year:
| 2016 | ||
| July | 1 | Issued $71,100,000 of 20-year, 12% callable bonds dated July 1, 2016, at a market (effective) rate of 14%, receiving cash of $61,621,133. Interest is payable semiannually on December 31 and June 30. |
| Oct. | 1 | Borrowed $250,000 by issuing a six-year, 5% installment note to Nicks Bank. The note requires annual payments of $49,254, with the first payment occurring on September 30, 2017. |
| Dec. | 31 | Accrued $3,125 of interest on the installment note. The interest is payable on the date of the next installment note payment. |
| 31 | Paid the semiannual interest on the bonds. The bond discount amortization of $236,972 is combined with the semiannual interest payment. | |
| 31 | Closed the interest expense account. | |
| 2017 | ||
| June | 30 | Paid the semiannual interest on the bonds. The bond discount amortization of $236,972 is combined with the semiannual interest payment. |
| Sept. | 30 | Paid the annual payment on the note, which consisted of interest of $12,500 and principal of $36,754. |
| Dec. | 31 | Accrued $2,666 of interest on the installment note. The interest is payable on the date of the next installment note payment. |
| 31 | Paid the semiannual interest on the bonds. The bond discount amortization of $236,972 is combined with the semiannual interest payment. | |
| 31 | Closed the interest expense account. | |
| 2018 | ||
| June | 30 | Recorded the redemption of the bonds, which were called at 98. The balance in the bond discount account is $8,530,979 after payment of interest and amortization of discount have been recorded. (Record the redemption only.) |
| Sept. | 30 | Paid the second annual payment on the note, which consisted of interest of $10,662 and principal of $38,592. |
Required:
| 1. | Journalize the entries to record the foregoing transactions. Round all amounts to the nearest dollar. Be sure to include the year in the date for the entries. Refer to the Chart of Accounts for exact wording of account titles. |
| 2. | Indicate the amount of the interest expense in (a) 2016 and (b) 2017. |
| 3. | Determine the carrying amount of the bonds as of December 31, 2017. |
In: Accounting
The following transactions were completed by Winklevoss Inc., whose fiscal year is the calendar year:
| 2016 | ||
| July | 1 | Issued $71,100,000 of 20-year, 12% callable bonds dated July 1, 2016, at a market (effective) rate of 14%, receiving cash of $61,621,133. Interest is payable semiannually on December 31 and June 30. |
| Oct. | 1 | Borrowed $250,000 by issuing a six-year, 5% installment note to Nicks Bank. The note requires annual payments of $49,254, with the first payment occurring on September 30, 2017. |
| Dec. | 31 | Accrued $3,125 of interest on the installment note. The interest is payable on the date of the next installment note payment. |
| 31 | Paid the semiannual interest on the bonds. The bond discount amortization of $236,972 is combined with the semiannual interest payment. | |
| 31 | Closed the interest expense account. | |
| 2017 | ||
| June | 30 | Paid the semiannual interest on the bonds. The bond discount amortization of $236,972 is combined with the semiannual interest payment. |
| Sept. | 30 | Paid the annual payment on the note, which consisted of interest of $12,500 and principal of $36,754. |
| Dec. | 31 | Accrued $2,666 of interest on the installment note. The interest is payable on the date of the next installment note payment. |
| 31 | Paid the semiannual interest on the bonds. The bond discount amortization of $236,972 is combined with the semiannual interest payment. | |
| 31 | Closed the interest expense account. | |
| 2018 | ||
| June | 30 | Recorded the redemption of the bonds, which were called at 98. The balance in the bond discount account is $8,530,979 after payment of interest and amortization of discount have been recorded. (Record the redemption only.) |
| Sept. | 30 | Paid the second annual payment on the note, which consisted of interest of $10,662 and principal of $38,592. |
Required:
| 1. | Journalize the entries to record the foregoing transactions. Round all amounts to the nearest dollar. Be sure to include the year in the date for the entries. Refer to the Chart of Accounts for exact wording of account titles. |
| 2. | Indicate the amount of the interest expense in (a) 2016 and (b) 2017. |
| 3. | Determine the carrying amount of the bonds as of December 31, 2017. |
In: Accounting
In: Accounting
The following transactions were completed by Winklevoss Inc., whose fiscal year is the calendar year:
| Year 1 | |
| July 1. | Issued $2,470,000 of five-year, 6% callable bonds dated July 1, Year 1, at a market (effective) rate of 8%, receiving cash of $2,269,661. Interest is payable semiannually on December 31 and June 30. |
| Dec. 31. | Paid the semiannual interest on the bonds. The bond discount amortization of $20,034 is combined with the semiannual interest payment. |
| Dec. 31. | Closed the interest expense account. |
| Year 2 | |
| June 30. | Paid the semiannual interest on the bonds. The bond discount amortization of $20,034 is combined with the semiannual interest payment. |
| Dec. 31. | Paid the semiannual interest on the bonds. The bond discount amortization of $20,034 is combined with the semiannual interest payment. |
| Dec. 31. | Closed the interest expense account. |
| Year 3 | |
| June 30. | Recorded the redemption of the bonds, which were called at 98. The balance in the bond discount account is $120,203 after payment of interest and amortization of discount have been recorded. (Record the redemption only.) |
1. Journalize the entries to record the foregoing transactions. If an amount box does not require an entry, leave it blank or enter "0". When required, round your answers to the nearest dollar.
| Date | Account | Debit | Credit |
|---|---|---|---|
| Year 1 | |||
| July 1 | Cash | ||
| Discount on bonds payable | |||
| Bonds payable | |||
| Dec. 31-Bond | Interest expense | ||
| Discount on bonds payable | |||
| Cash | |||
| Dec. 31-Closing | Income summary | ||
| Interest expense | |||
| Year 2 | |||
| June 30 | Interest expense | ||
| Discount on bonds payable | |||
| Cash | |||
| Dec. 31-Bond | Interest expense | ||
| Discount on bonds payable | |||
| Cash | |||
| Dec. 31-Closing | Income summary | ||
| Interest expense | |||
| Year 3 | |||
| June 30 | Bonds payable | ||
| Loss on redemption of bonds | |||
| Discount on bonds payable | |||
| Cash |
2. Indicate the amount of the interest expense in (a) Year 1 and (b) Year 2.
a. Year 1 $
b. Year 2 $
3. Determine the carrying amount of the bonds
as of December 31, Year 2.
$
In: Accounting