A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed golf clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim?
Let d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs)d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs). Use a significance level of α=0.05α=0.05 for the test. Assume that the scores are normally distributed for the population of golfers both before and after using the newly designed clubs.
| Golfer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Score (old design) | 77 | 88 | 76 | 88 | 84 | 80 | 89 | 81 |
| Score (new design) | 71 | 92 | 73 | 87 | 91 | 73 | 83 | 78 |
Step 1 of 5:
State the null and alternative hypotheses for the test.
Step 2 of 5:
Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
Step 3 of 5:
Compute the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5:
Find the p-value for the hypothesis test. Round your answer to four decimal places.
Step 5 of 5:
Draw a conclusion for the hypothesis test.
In: Statistics and Probability
Use Einstein's velocity addition rule and the principle of momentum conservation to explain why you can't use the formula p=mv to find the momentum of an object that is moving relativistically, and show that the correct formula for relativistic momentum is actually p = γmv. Use the following bullet points as a guide for what points to cover in your essay. First imagine you have two objects, A and B, that are moving in the same direction relative to you but with different speeds. Object B is ahead of object A, but the separation between them is narrowing because object A is faster. Now suppose object A catches up to object B and they collide. They keep going in the same direction after the collision but with new speeds. What is the total non-relativistic momentum before and after the collision? Now suppose the collision is taking place aboard a moving train that you are observing from the ground. Let u be the speed of the train relative to you. Use Einstein's velocity addition rule to add the train's motion to the motions of objects A and B to find their speeds relative to you. What is the total non-relativistic momentum before and after the collision, now with the motion of the train taken into account? If you set them equal to each other, does the speed of the train u just cancel out? You should have found that when you use the non-relativistic formula for momentum, the train motion did not cancel out. Explain why this implies that non-relativistic momentum is not conserved on the moving train. Now show that u does cancel out when you use the relativistic formula for total momentum before and after the collision between objects A and B on the moving train. Explain why this implies that relativistic momentum is conserved.
In: Physics
On June 30, 2017, Sharper Corporation’s common stock is priced at $27.00 per share before any stock dividend or split, and the stockholders’ equity section of its balance sheet appears as follows. Common stock—$6 par value, 90,000 shares authorized, 36,000 shares issued and outstanding $ 216,000 Paid-in capital in excess of par value, common stock 100,000 Retained earnings 316,000 Total stockholders’ equity $ 632,000
1. Assume that the company declares and immediately distributes a 100% stock dividend. This event is recorded by capitalizing retained earnings equal to the stock’s par value. Answer these questions about stockholders’ equity as it exists after issuing the new shares. a.,b.& c. Complete the below table to calculate the retained earnings balance, total stockholders’ equity and number of outstanding shares.
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2. Assume that the company implements a 2-for-1 stock split instead of the stock dividend in part 1.
Answer these questions about stockholders’ equity as it exists after issuing the new shares. a.,b.& c. Complete the below table to calculate the retained earnings balance, total stockholders’ equity and number of outstanding shares.
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In: Accounting
Dependent Sample T-Test
Researchers were interested in studying whether seniors who participated in Silver Sneakers had a significant weight loss over a 10 week period. Given the above information, answer the questions below (assume a level of significance of .05).
|
Paired Samples Statistics |
|||||
|
Mean |
N |
Std. Deviation |
Std. Error Mean |
||
|
Pair 1 |
preweight Weight before the diet (kg) |
72.53 |
78 |
8.723 |
.988 |
|
weight10weeks Weight after 10 weeks on the diet |
68.681 |
78 |
8.9245 |
1.0105 |
|
|
Beginning Weight in kg |
Weight after 10 weeks in kg |
|
|
Sample Size |
||
|
Sample Mean |
||
|
Sample Standard Deviation |
||
|
Estimated Standard Error |
Using the information below, answer the following questions:
|
Paired Samples Test |
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|
Paired Differences |
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|
Mean |
Std. Deviation |
Std. Error Mean |
95% Confidence Interval of the Difference |
||||||||
|
Lower |
|||||||||||
|
Pair 1 |
Weight before the diet (kg) - Weight after 10 weeks on the diet |
3.8449 |
2.5515 |
.2889 |
3.2696 |
||||||
|
Paired Samples Test |
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|
Paired Differences |
t |
df |
Sig. (2-tailed) |
||||||||
|
95% Confidence Interval of the Difference |
|||||||||||
|
Upper |
|||||||||||
|
Pair 1 |
Weight before the diet (kg) - weight10weeks Weight after 10 weeks on the diet |
4.4201 |
13.309 |
77 |
.000 |
||||||
In: Statistics and Probability
A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed golf clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim?
Let d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs)d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs). Use a significance level of α=0.05 for the test. Assume that the scores are normally distributed for the population of golfers both before and after using the newly designed clubs.
| Golfer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Score (old design) | 77 | 76 | 95 | 77 | 80 | 81 | 85 | 79 |
| Score (new design) | 73 | 83 | 94 | 73 | 81 | 76 | 79 | 73 |
Step 1 of 5: State the null and alternative hypotheses for the test.
Step 2 of 5:Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
Step 3 of 5:Compute the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5:Determine the decision rule for rejecting the null hypothesis H 0 H0 . Round the numerical portion of your answer to three decimal places.
Step 5 of 5: accept or reject null?
In: Statistics and Probability
A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed golf clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim?
Let d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs)d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs). Use a significance level of α=0.1α=0.1 for the test. Assume that the scores are normally distributed for the population of golfers both before and after using the newly designed clubs.
| Golfer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Score (old design) | 89 | 83 | 85 | 95 | 89 | 83 | 86 | 89 |
| Score (new design) | 86 | 90 | 78 | 89 | 95 | 82 | 85 | 85 |
Step 1 of 5:State the null and alternative hypotheses for the test.
Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.
Step 3 of 5:Compute the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5: Find the p-value for the hypothesis test. Round your answer to four decimal places.
Step 5 of 5: Draw a conclusion for the hypothesis test
In: Statistics and Probability
A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's newly designed golf clubs. Eight golfers are randomly selected and each is asked to give his or her most recent score. After using the new clubs for one month, the golfers are asked again to give their most recent score. The scores for each golfer are given in the table below. Is there enough evidence to support the manufacturer's claim?
Let d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs)d=(golf score after using the newly designed golf clubs)−(golf score before using the newly designed golf clubs). Use a significance level of α=0.05α=0.05 for the test. Assume that the scores are normally distributed for the population of golfers both before and after using the newly designed clubs.
| Golfer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| Score (old design) | 93 | 85 | 78 | 75 | 84 | 75 | 81 | 77 |
| Score (new design) | 90 | 87 | 75 | 71 | 91 | 71 | 79 | 75 |
Step 1: State the null and alternative hypotheses for the test.
Step 2: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.
Step 3: Compute the value of the test statistic. Round your answer to three decimal places.
Step 4: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.
Step 5: Make the decision for the hypothesis test.
In: Statistics and Probability
A $10 000 bond with 5% interest payable quarterly, redeemable at par on November 15, 2030, was bought on July 2, 2014, to yield 9% compounded quarterly. If the bond sells at 92.75 on September 10, 2020, what would the gain or loss on the sale be?
Face value = 10 000.00; b = 1.25%
Principal = 10 000.00; i = 2.25%
Interest dates are November 15, February 15, May 15, and August 15.
The interest date preceding the date of sale is August 15, 2020.
The time period August 15, 2020, to November 15, 2030, is 10.25 years: n = 41.
b < i → discount
The interest payment interval August 15, 2020, to November 15, 2020, is 92 days
The interest period August 15, 2020, to September 10, 2020, is 26 days.
In: Finance
January 1, 2020 December 31, 2020
Direct materials 31,000 50,000
Work in process 38,000 41,000
Finished goods 22,000 34,000
The following information was taken from DTD Company's accounting records
for 2020:
Sales revenue ........................................... $630,000
Direct materials purchased .............................. ?
Depreciation, factory equipment ......................... 34,000
Prime costs ............................................. 250,000
Utilities (60% for factory; 40% for office building) .... 20,000
Sales commissions ....................................... 71,000
Indirect materials ...................................... ?
Depreciation, office equipment .......................... 30,000
Rent, factory building .................................. 56,000
Net income .............................................. 10,000
Direct labor ............................................ ?
Advertising ............................................. 68,000
Production supervisor's salary .......................... 74,000
Additional information:
1. Direct labor comprised 35% of the conversion costs for 2020.
2. The actual overhead cost for 2020 was equal to the overhead applied
to production. Thus there was no overhead variance for 2020.
Calculate DTD Company's indirect materials cost for 2020.In: Accounting
Under its executive stock option plan, M Corporation granted options on January 1, 2018, that permit executives to purchase 15 million of the company's $1 par common shares within the next eight years, but not before December 31, 2020 (the vesting date). The exercise price is the market price of the shares on the date of grant, $18 per share. The fair value of the options, estimated by an appropriate option pricing model, is $4 per option. No forfeitures were anticipated; however, unexpected turnover during 2019 caused the forfeiture of 5% of the stock options. Ignoring taxes, what is the effect on earnings in 2019?
Multiple Choice
$18.5 million.
$19 million.
$20 million.
$18 million
In: Accounting