1.When students apply for graduate studies (i.e. at the master’s or doctoral level), they are
required to submit an official copy of their transcript, mailed directly from the Registrar’s
Office at their academic institution. The customer service division of the Registrar’s
Office at a large Canadian university is interested in determining if they are more than
25% faster at processing transcripts than another university in the area, which can process
transcripts in 16 business hours. The customer service manager obtains a random sample
of 10 waiting times (in business hours), which are provided below.
11 12 18 20 23
15 10 12 13 14
a. Conduct an appropriate hypothesis test. Use the critical value method. Use a
population standard deviation of 2 hours. [9 marks]
HINT: You will first have to determine what it means to be 25% faster, in terms
of hours.
b. Explain what a Type I Error means in this context. [1 mark]   
2. A major keyboard manufacturer has a line of keyboards designed for apartment dwellers.
These keyboards need to be light enough to be carried up flights of stairs. The lead
engineer wants to use a new type of material. The engineer claims that the new keyboards
will be lighter than the old keyboards.
They take a sample of 4 keyboards manufactured using the old material and compute an
average weight of 21 kg with a standard deviation of 1 kg.
They take a sample of 8 keyboards manufactured using the new material and compute an
average weight of 17 kg with a standard deviation of 2 kg.
a. Conduct an appropriate hypothesis test using the p-value method. Use the old
material as population 1. [8 marks]
b. How much evidence is there against the null hypothesis in part (a)? [1 mark]
c. Explain what a Type II Error means in this context. [1 mark

3.An insurance company is interested in estimating the population mean cost of basic dental
cleaning at dentists in Saskatoon. Suppose there are only two dentists in Saskatoon:
Dentist A and Dentist B. Suppose also that the cost of basic dental cleaning varies only
depending on how well the patient practices regular dental hygiene, so that the cost of
basic dental cleaning roughly follows a Normal distribution regardless of the dentist.
The insurance company selects 8 sample patients and sends them to both Dentist A and
Dentist B. They send the patients in random order, such that half of the patients are seen
by Dentist A first, and half are seen by Dentist B first, so as not to bias the results. The
cost of basic dental cleaning for these 8 patients seen by both Dentists A and B are
provided below. The insurance company would like to determine whether the population
mean cost of basic dental cleaning by Dentist A is different from the population mean
cost of basic dental care by Dentist B. Let the population of costs of basic dental care
from Dentist A be population 1.
Patient 1 2 3 4 5 6 7 8
Dentist A $100 $120 $125 $110 $95 $105 $120 $115
Dentist B $150 $100 $140 $100 $95 $105 $100 $120
Conduct an appropriate hypothesis test using the critical value method. [10 marks]

1. Compare what happen to the pH of flask 1 to what happened to the pH of flask 3 when HCl was added.

2. Which substance, water or the buffer does a better job of maintaining pH when small amounts of strong acid are added?

3. Compare what happen to the pH of flask 2 to what happened to the pH of flask 4 when NaOH was added.

4. Which substance, water or the buffer does a better job of maintaining pH when small amounts of strong base are added?

5. Write equations for the reactions taking place in each of the flasks. For an equilibrium arrow use equals sign (=) ( use H2O for water, A- for acetate ion, HA for acetic acid, H+ for hydrogen ion, H3O+ for hydronium ion, Na+ for sodium ion, and OH- for hydroxide ion.

a. Reaction in flask 1

b. Reaction in flask 2

c. Reaction in flask 3.

d. Reaction in flask 4.

6. In your own words, tell how this experiment is related to the buffer systems in the blood.

A) Summarize the data (melting point ranges of the 3 mixed samples)

B) What conclusions can be made about the effect of impurities on the melting point range?

C) How did you reach that conclusion?

7. Using your multiple regression results to predict Final_exam for a student with the mean assignment_grade and tutorial_attend equal to (i) 2 tutorials, (ii) 3, (iii) 4 and (iv) 5 tutorials. (Hint this means you will have 4 distinct predictions for Final_exam) Carefully interpret your results.

A. Use the six step hypothesis testing procedure to determine if there is evidence that the mean commute times are different in the populations of Atlanta and St. Louis residents.

Step 1: Identify the population, comparison distribution, and assumptions [4 points]

Step 2: State the null and research hypotheses [4 points]

H₀:

H₁:

Step 3: Determine the characteristics of the comparison distribution (shape, mean, & standard error) [4 points]

Step 4: Determine the critical values [4 points]

Step 5: Calculate the test statistic [4 points]

Step 6: Make a decision (reject/fail to reject + real world conclusion) [4 points]

B. Compute Cohen’s d for the difference in sample means. [4 points]

Consider the following substitution block cipher:

Plain-text

0. 000 110

1. 001 100

10. 010 111

11. 011 001

100. 100 101

101. 101 000

110. 110 010

111. 111 011

Cipher-text

[10]

Compute the cipher-text belonging to plaintext 001 110 000 101 110 (using a block size of 3 bits) for the Electronic Code Book (ECB) mode and Cipher Block Chaining (CBC) mode taking IV = 111. Show the intermediate steps.

Delsing Canning Company is considering an expansion of its facilities. Its current income statement is as follows:

The company is currently financed with 50 percent debt and 50 percent equity (common stock, par value of $10). In order to expand the facilities, Mr. Delsing estimates a need for $3.6 million in additional financing. His investment banker has laid out three plans for him to consider:

1. Sell $3.6 million of debt at 12 percent.
2. Sell $3.6 million of common stock at $30 per share.
3. Sell $1.80 million of debt at 11 percent and $1.80 million of common stock at $40 per share.

Variable costs are expected to stay at 50 percent of sales, while fixed expenses will increase to $2,460,000 per year. Delsing is not sure how much this expansion will add to sales, but he estimates that sales will rise by $1 million per year for the next five years

Delsing is interested in a thorough analysis of his expansion plans and methods of financing.He would like you to analyze the following:

a. The break-even point for operating expenses before and after expansion (in sales dollars). (Enter your answers in dollars not in millions, i.e, $1,234,567.)

b. The degree of operating leverage before and after expansion. Assume sales of $6.6 million before expansion and $7.6 million after expansion. Use the formula: DOL = (S − TVC) / (S − TVC − FC). (Round your answers to 2 decimal places.)

c-1. The degree of financial leverage before expansion. (Round your answer to 2 decimal places.)

c-2. The degree of financial leverage for all three methods after expansion. Assume sales of $7.6 million for this question. (Round your answers to 2 decimal places.)

d. Compute EPS under all three methods of financing the expansion at $7.6 million in sales (first year) and $10.5 million in sales (last year). (Round your answers to 2 decimal places.)

Delsing Canning Company is considering an expansion of its facilities. Its current income statement is as follows:

The company is currently financed with 50 percent debt and 50 percent equity (common stock, par value of $10). In order to expand the facilities, Mr. Delsing estimates a need for $3.1 million in additional financing. His investment banker has laid out three plans for him to consider:

1. Sell $3.1 million of debt at 13 percent.
2. Sell $3.1 million of common stock at $20 per share.
3. Sell $1.55 million of debt at 12 percent and $1.55 million of common stock at $25 per share.

Variable costs are expected to stay at 50 percent of sales, while fixed expenses will increase to $2,410,000 per year. Delsing is not sure how much this expansion will add to sales, but he estimates that sales will rise by $1 million per year for the next five years.
Delsing is interested in a thorough analysis of his expansion plans and methods of financing.He would like you to analyze the following:

a. The break-even point for operating expenses before and after expansion (in sales dollars). (Enter your answers in dollars not in millions, i.e, $1,234,567.)

Break-Even Point  

Before expansion ___________

After expansion ___________

b. The degree of operating leverage before and after expansion. Assume sales of $6.1 million before expansion and $7.1 million after expansion. Use the formula: DOL = (S − TVC) / (S − TVC − FC). (Round your answers to 2 decimal places.)
  

Degree of Operating Leverage

Before expansion ________________

After expansion _________________

c-1. The degree of financial leverage before expansion. (Round your answer to 2 decimal places.)
  

Degree of financial leverage ___________

c-2. The degree of financial leverage for all three methods after expansion. Assume sales of $7.1 million for this question. (Round your answers to 2 decimal places.)
  

Degree of financial leverage

100% debt ___________________

100% equity ___________________

50% debt and 50% equity ________________

d. Compute EPS under all three methods of financing the expansion at $7.1 million in sales (first year) and $10.0 million in sales (last year). (Round your answers to 2 decimal places.)
  

Earnings per share

First Year Last Year

100% debt _________________________________

100% Equity _________________________________

50%debt and 50% equity ______________________________

Delsing Canning Company is considering an expansion of its facilities. Its current income statement is as follows:

The company is currently financed with 50 percent debt and 50 percent equity (common stock, par value of $10). In order to expand the facilities, Mr. Delsing estimates a need for $4.5 million in additional financing. His investment banker has laid out three plans for him to consider:

1. Sell $4.5 million of debt at 9 percent.
2. Sell $4.5 million of common stock at $15 per share.
3. Sell $2.25 million of debt at 8 percent and $2.25 million of common stock at $20 per share.

Variable costs are expected to stay at 50 percent of sales, while fixed expenses will increase to $2,550,000 per year. Delsing is not sure how much this expansion will add to sales, but he estimates that sales will rise by $2.25 million per year for the next five years.
Delsing is interested in a thorough analysis of his expansion plans and methods of financing.He would like you to analyze the following:

a. The break-even point for operating expenses before and after expansion (in sales dollars). (Enter your answers in dollars not in millions, i.e, $1,234,567.)
  

b. The degree of operating leverage before and after expansion. Assume sales of $7.5 million before expansion and $8.5 million after expansion. Use the formula: DOL = (S − TVC) / (S − TVC − FC). (Round your answers to 2 decimal places.)
  

c-1. The degree of financial leverage before expansion. (Round your answers to 2 decimal places.)
  

c-2. The degree of financial leverage for all three methods after expansion. Assume sales of $8.5 million for this question. (Round your answers to 2 decimal places.)
  

d. Compute EPS under all three methods of financing the expansion at $8.5 million in sales (first year) and $10.3 million in sales (last year). (Round your answers to 2 decimal places.)