An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?

Let d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course)d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course). Use a significance level of α=0.1 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.

1. State the null and alternative hypotheses for the test.

2. Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

3. Compute the value of the test statistic. Round your answer to three decimal places.

4. Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to three decimal places.

5. Make the decision for the hypothesis test.

Cornerstone Exercise 16.4 (Algorithmic)
After-Tax Profit Targets

Olivian Company wants to earn $600,000 in net (after-tax) income next year. Its product is priced at $400 per unit. Product costs include:

Variable selling expense is $16 per unit; fixed selling and administrative expense totals $255,000. Olivian has a tax rate of 40 percent

Required:

1. Calculate the before-tax profit needed to achieve an after-tax target of $600,000.
$

2. Calculate the number of units that will yield operating income calculated in Requirement 1 above. If required, round your answer to the nearest whole unit.
units

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4. What if Olivian had a 35 percent tax rate? Would the units sold to reach a $600,000 target net income be higher or lower than the units calculated in Requirement 2?
- Select your answer -HigherLowerCorrect 1 of Item 3

Calculate the number of units needed at the new tax rate. In your calculations, round before-tax income to the nearest dollar. Round your answer to the nearest whole unit.
  units

An SAT prep course claims to improve the test score of students. The table below shows the scores for seven students the first two times they took the verbal SAT. Before taking the SAT for the second time, each student took a course to try to improve his or her verbal SAT scores. Do these results support the claim that the SAT prep course improves the students' verbal SAT scores?

Let d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course)d=(verbal SAT scores prior to taking the prep course)−(verbal SAT scores after taking the prep course). Use a significance level of α=0.05α=0.05 for the test. Assume that the verbal SAT scores are normally distributed for the population of students both before and after taking the SAT prep course.

1) State the null and alternative hypotheses for the test.

2) Find the value of the standard deviation of the paired differences. Round your answer to three decimal place.

3) Compute the value of the test statistic. Round your answer to three decimal places.

4) Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to three decimal places.

5) Make the decision for the hypothesis test.

Kraftstoff is a​ German-based company that manufactures electronic​ fuel-injection carburetor assemblies for several large automobile companies in​ Germany, including​ Mercedes, BMW, and Opel. The​ firm, like many firms in Germany​ today, is revising its financial policies in line with the increasing degree of disclosure required by firms if they wish to list their shares publicly in or out of Germany.

​Kraftstoff's primary problem is that the German corporate income tax code applies a different income tax rate to income depending on whether it is retained ​(40​%) or distributed to stockholders ​(32​%). The​ company's earnings before tax​ (EBT) is euro€485,500,000.

a. If Kraftstoff planned to distribute​ 50% of its net​ income, what would be its total net income and total corporate tax​ bills?

b. If Kraftstoff was attempting to choose between a​ 40% and​ 60% payout rate to​ stockholders, what arguments and values would management use in order to convince stockholders which of the two payouts is in​ everyone's best​ interest?

a. If Kraftstoff planned to distribute​ 50% of its net​ income, calculate its total net income and toatl corporate tax bills in the following​ table:  ​(Round to the nearest whole​ euro.)

After-Tax Profit Targets

Olivian Company wants to earn $300,000 in net (after-tax) income next year. Its product is priced at $400 per unit. Product costs include:

Variable selling expense is $16 per unit; fixed selling and administrative expense totals $300,000. Olivian has a tax rate of 40 percent.

Required:

1. Calculate the before-tax profit needed to achieve an after-tax target of $300,000.
$

2. Calculate the number of units that will yield operating income calculated in Requirement 1 above. If required, round your answer to the nearest whole unit.
_________ units

3. Prepare an income statement for Olivian Company for the coming year based on the number of units computed in Requirement 2. Do NOT round interim calculations and, if required, round your answer to the nearest dollar.

4. What if Olivian had a 35 percent tax rate? Would the units sold to reach a $300,000 target net income be higher or lower than the units calculated in Requirement 2?
Lower

Calculate the number of units needed at the new tax rate. In your calculations, round before-tax income to the nearest dollar. Round your answer to the nearest whole unit.
_______ units

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). 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.

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 H0. Round the numerical portion of your answer to three decimal places.

Step 5 of 5: Make the decision for the hypothesis test.

Name __ 1. The balance in accounts receivable is $687,000. At the end of October, Ace Company management estimates the uncollectible accounts expense to be 1 percent of net sales of $2,770,000. 1a. Give the entry to record the uncollectible accounts expense, assuming that the Allowance for Uncollectible Accounts has a debit balance of $14,000. DR ACCOUNT _____uncollectible accounts expense____ AMOUNT $___ CR ACCOUNT _To record estimated uncollectible accounts___________ AMOUNT $_

1b. What is the balance in the Allowance for Uncollectible Accounts after the above entry is made? $____________

1c. What is the amount of the Net Accounts Receivable on the balance sheet? $ ____________

2. The balance in the accounts receivable account is $984,000. An aging analysis on June 30 of the accounts receivable of James Corporation indicates uncollectible accounts of $43,000. Give the entry to record uncollectible accounts expense under each of the following independent assumptions: Assumption 1

2a. Give the journal entry to record the uncollectible accounts expense if the Allowance for Uncollectible Accounts has a credit balance of $9,000 before adjustment. DR ACCOUNT ____________________________________ AMOUNT $___________ CR ACCOUNT ____________________________________ AMOUNT $____________

2b. What is the balance in the Allowance for Uncollectible Accounts after the above entry is made? $ ____________

2c. What is the amount of the Net Accounts Receivable on the balance sheet? $ ____________

Assumption 2 2d.

Give the journal entry to record the uncollectible accounts expense if the Allowance for Uncollectible Accounts has a debit balance of $7,000 before adjustment. DR ACCOUNT ____________________________________ AMOUNT $________________ CR ACCOUNT ____________________________________ AMOUNT $________________ 2e. What is the balance in the Allowance for Uncollectible Accounts after the above entry is made? $ ____________

2f. What is the amount of the Net Accounts Receivable on the balance sheet? $ ____________

A consumer invests ​$23 000 in a mutual fund with a 2​% front end load and a 2.7​% annual expense​ fee, which is charged as a percentage of the​ consumer's balance at the end of the year. The fund increases in value by 19.9​% over the first year. Complete parts​ (a) through​ (e) below. ​(a) What is the amount of money charged up front just for investing in the mutual​ fund? The charge up front is ​$ nothing. ​(Simplify your answer. Do not include the​ $ symbol in your answer. Round to two decimal places as​ needed.) ​(b) After subtracting the front end​ load, the remainder of the money grows by 19.9​% over the first year. What is the ending balance before the expense​ fee? The ending balance before the expense fee is ​$ nothing. ​(Simplify your answer. Do not include the​ $ symbol in your answer. Round to two decimal places as​ needed.) ​(c) What is the expense fee charged on this​ balance? The expense fee is ​$ nothing. ​(Simplify your answer. Do not include the​ $ symbol in your answer. Round to two decimal places as​ needed.) ​(d) What is the final ending balance after the expense fee is​ deducted? The final ending balance after the expense fee is ​$ nothing. ​(Simplify your answer. Do not include the​ $ symbol in your answer. Round to two decimal places as​ needed.) ​(e) What is the total rate of return for this first​ year? The total rate of return is nothing​%. ​(Simplify your answer. Round to two decimal places as​ needed.)

13. A researcher assesses 7 students on test anxiety using blood pressure as a measure (the higher the blood pressure, the greater the anxiety); she then assesses the same subjects again after they view a 2-hour videotape on "relaxation techniques under stress".  The results, average systolic blood pressure, were:

Subject        Before              After              

1                120                 110              

2                160                 110              

3                124                 100              

4                135                  99              

5                170                 115              

6                143                 106              

7                188                  89               

            1. State the independent and dependent variables.

            2. State the Null Hypothesis in words and symbols.

            3. Compute the appropriate statistic.

            4. What is the decision?

            5. State the full conclusion in words.

14. A developmental psychologist prepares a video tape which demonstrates the “conservation of matter”.  She selects 8 young children from a day care and first tests them on this type of problem (that matter is the same volume regardless of shape) and records the number of correct responses.  She then shows the video tape and re-measures their ability to solve these problems.  Below are the results:

# correct                                  # correct

Child               before tape                              after tape

1                      3                                              8

2                      0                                              6

3                      6                                              4

4                      2                                              8

5                      9                                              10

6                      8                                              6

7                      6                                              2

8                      5                                              10

1. State the independent and dependent variables.
2. State the Null Hypothesis in words and symbols
3. Compute the appropriate statistic
4. What is the decision?
5. State the Full conclusion in words.

Paired Samples t-test

Gregg Popovich, head coach of the San Antonio Spurs, had his top five scorers practice during the past week with the shooting coach Chip Engelland. They shot 100 free throws prior to working with Chip and then shot 100 free throws after working with Chip. Below are the total number of free throws made before and after working with Chip Engelland. Popovich wants to know if practicing with Chip increased their free throw making abilities. Use a p-value (α) of 0.05 to conduct the test.

Step 1: Populations, Distribution, and Assumptions

Population 1:

Population 2:

Distribution:

Hypothesis test to be used (Explain):

Step 2: Hypotheses

Research Hypothesis:

Symbolic Research Hypothesis:

Null Hypothesis:

Symbolic Null Hypothesis:

5

Step 3: Characteristics of the Comparison Distribution (6 points)

Um (mean of means) = __________

SM= __________

Step 4: Critical Values

t critical, =____________-.

df= __________

Step 5: Calculate Test Statistic

t statistics =____________

Step 6: Make a Decision

Be sure to explain and also report your answer in APA format.

SS =________________

6

Effect Size

Calculate the effect size for the previous comparison. Cohen’s d = __________

Confidence Interval

Calculate the confidence interval

CI 90% = [ ________ , _________ ]