Gayle runs at a speed of 3.30 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 47.0 kg, the sled has a mass of 5.25 kg and her brother has a mass of 30.0 kg.

1) what does it mean if a psychological scientist runs an experiment and finds a statistically significant result? a) The likelihood of a Type I error is greater than 5% b) The likelihood that the result was due to chance is low enough to reject the null hypothesis c) The theory that the scientist was testing is proven

2) What decision must a psychological scientist make if an obtained p-value is greater than the adopted alpha? a) To accept the null hypothesis b) To reject the null hypothesis c) That there is a type I error

3) What does a psychological scientist conclude if an obtained p-value is less than the adopted alpha? a) The likelihood that the result was due to chance is too high to reject the null hypothesis b) The effect of the IV manipulation is statistically significant c) The likelihood of a type II error is greater than 5%

4) With all else being equal, what happens to the inferential stat. we calculate to determine whether 2 groups differ, as the difference between their means increases? a) the Pearson's r increases b) The t-score increase c) The variance decreases d) The sum of squares decrease

5) All else being equal, what happens to the inferential stat. we calculate to determine whether 2 groups differ, as the variance of each of the groups increases? a) The Pearson's r decreases b) The t-score decreases c) The mean increases d)The sum of squares increases

6) All else being equal, what happens to the p-value that corresponds with our inferential stat., as the difference between the means of two groups increases? a) it does not change b) It increases c) It decreases d) it approaches 1.0

The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.

(a) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)

(b) Compute a 90% confidence interval for the population mean μ of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (Round your answers to two decimal places.)

(c) Compute a 99% confidence interval for the population mean μ of home run percentages for all professional baseball players. (Round your answers to two decimal places.)

The Seneca Children's Fund is a local charity that runs summer camps for disadvantaged children. The fund's board of directors has been working very hard in recent years to decr4ease the amount of overhead expenses, a major factor in how charities are rated by independent agencies. The following data show the percentages of the money the fund has raised that was spent on administrative and fund-raising expenses for 2006-2012.

Year      Expense (%)

2006            13.7

2007            13.9

2008            14.8

2009            14.6

2010            14.9

2011            15.1

2012            15.6

a. Construct a time series plot. What kind of relationship exists in the data?

b. Develop a linear trend equation for these data.

c. Forecast the percentage of administrative expenses for 2013.

d. Using a smoothing constant of .2 forecast a value for 2013.

You are the audit manager of ChefNZ Ltd, a large company, which runs a number of select gourmet restaurants throughout New Zealand. During the planning phase for the current year audit, you note the following information:
Darcy Strong, the general manager has discovered a fraud involving the theft of more than $70,000 of cash. The person(s) who stole the cash were waiters/waitresses who simply pocketed any cash they received from restaurant customers and destroyed the manually generated hard copy bills for the orders charged to these customers. No correcting entries have been posted as yet, because the fraud is still being investigated and Darcy is not sure of exactly how much money has been stolen.
You plan to ensure that relevant Internal Control Questionnaires (ICQs) are checked to ensure that they properly cover the above scenario.

Required:

a) Identify and explain which financial statement assertion is currently not true with regard to the restaurant sales amount in the accounting records of ChefNZ Ltd.

b) Identify two internal controls you would expect to be in place to prevent and/or detect theft of this nature. Your answer should include identifying at least one relevant control from any two of the following possible categories of controls:
i) source document design;
ii) independent checks or reconciliations; and
iii) personnel or segregation of duties.

c) Briefly explain what an Internal Control Questionnaire (ICQ) is and what it is used for.

d) State how you would test each of the controls examples which you have identified in (b) above, using a different audit procedure for each.

The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.

(a) Use a calculator with mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)

(b) Compute a 90% confidence interval for the population mean μ of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (Round your answers to two decimal places.)

(c) Compute a 99% confidence interval for the population mean μ of home run percentages for all professional baseball players. (Round your answers to two decimal places.)

(d) The home run percentages for three professional players are below.

Examine your confidence intervals and describe how the home run percentages for these players compare to the population average.

We can say Player A falls close to the average, Player B is above average, and Player C is below average.

We can say Player A falls close to the average, Player B is below average, and Player C is above average.    

We can say Player A and Player B fall close to the average, while Player C is above average.

We can say Player A and Player B fall close to the average, while Player C is below average.

(e) In previous problems, we assumed the x distribution was normal or approximately normal. Do we need to make such an assumption in this problem? Why or why not? Hint: Use the central limit theorem.

Yes. According to the central limit theorem, when n ≥ 30, the x distribution is approximately normal.

Yes. According to the central limit theorem, when n ≤ 30, the x distribution is approximately normal.    

No. According to the central limit theorem, when n ≥ 30, the x distribution is approximately normal.

No. According to the central limit theorem, when n ≤ 30, the x distribution is approximately normal.

The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.

1.6 2.4 1.2 6.6 2.3 0.0 1.8 2.5 6.5 1.8 2.7 2.0 1.9 1.3 2.7 1.7 1.3 2.1 2.8 1.4 3.8 2.1 3.4 1.3 1.5 2.9 2.6 0.0 4.1 2.9 1.9 2.4 0.0 1.8 3.1 3.8 3.2 1.6 4.2 0.0 1.2 1.8 2.4

(a) Use a calculator with mean and standard deviation keys to find x bar and s (in percentages). (For each answer, enter a number. Round your answers to two decimal places.) x bar = x bar = % s = %

(b) Compute a 90% confidence interval (in percentages) for the population mean μ of home run percentages for all professional baseball players. Hint: If you use the Student's t distribution table, be sure to use the closest d.f. that is smaller. (For each answer, enter a number. Round your answers to two decimal places.) lower limit % upper limit %

(c) Compute a 99% confidence interval (in percentages) for the population mean μ of home run percentages for all professional baseball players. (For each answer, enter a number. Round your answers to two decimal places.) lower limit % upper limit %

(d) The home run percentages for three professional players are below. Player A, 2.5 Player B, 2.2 Player C, 3.8 Examine your confidence intervals and describe how the home run percentages for these players compare to the population average.

We can say Player A falls close to the average, Player B is above average, and Player C is below average.

We can say Player A falls close to the average, Player B is below average, and Player C is above average.

We can say Player A and Player B fall close to the average, while Player C is above average.

We can say Player A and Player B fall close to the average, while Player C is below average.

(e) In previous problems, we assumed the x distribution was normal or approximately normal. Do we need to make such an assumption in this problem? Why or why not? Hint: Use the central limit theorem.

Yes. According to the central limit theorem, when n ≥ 30, the x bar distribution is approximately normal.

Yes. According to the central limit theorem, when n ≤ 30, the x bar distribution is approximately normal.

No. According to the central limit theorem, when n ≥ 30, the x bar distribution is approximately normal.

No. According to the central limit theorem, when n ≤ 30, the x bar distribution is approximately normal.

Ken runs a barber shop. Given the popularity and location of the restaurant, he has a monopoly position in the market. The inverse market demand curve is given by Q = 120 – 2P. Ken has a total cost of TC = Q². If he charges the same price to all customers, what are Ken’s profit-maximising price P^M and quantity Q^M?

Gayle runs at a speed of 3.95 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 45.0 kg, the sled has a mass of 5.40 kg and her brother has a mass of 30.0 kg.

_________. m/s

Gayle runs at a speed of 3.30 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 46.0 kg, the sled has a mass of 5.05 kg and her brother has a mass of 30.0 kg.