Many people believe that unusual behavior is more likely to occur during a full moon. As a test for empirical evidence to support this belief, suppose that you categorized the visits of new clients to a community health unit over a one-year period by lunar phases and found the following distribution of visits: Full moon 62, new moon 50, first quarter 60, and third quarter 56.

Answer the following questions:

1. What are the null and alternate hypotheses?

2. What are the expected values for each of the categories?

3. What is the chi-square obtained?

4. What is the critical value?

5. What is your statistical decision? Justify your answer.

6. What is your conclusion?

Consider a population of 10241024 mutual funds that primarily invest in large companies. You have determined that muμ​, the mean​ one-year total percentage return achieved by all the​ funds, is 8.408.40 and that sigmaσ​,the standard​ deviation, is 3.503.50. Complete​ (a) through​ (c). a. According to the empirical​ rule, what percentage of these funds is expected to be within ​±33 standard deviations ,deviations of the​ mean? 99.799.7​% b. According to the Chebyshev​ rule, what percentage of these funds are expected to be within

​±22 standard deviations of the​ mean? -75.075.0​% ​(Round to two decimal places as​ needed.)

***** c. According to the Chebyshev​ rule, at least

88.8988.89​%

of these funds are expected to have​ one-year total returns between what two​ amounts?

Between_ and _.

A-CH3SH reacts with CO according to the following unbalanced chemical equation:

CH3SH + CO → CH3CO(SCH3) + H2S

Calculate the mass in grams of the excess reagent remaining after the complete reaction of 2.17 g of CH3SH with 1.45 g of CO. ( )

B- a compound containing only C, H and O was subjected to combustion analysis. A sample of 4.270×10¹ g produced 9.200×10¹ g of CO₂ and 3.766×10¹ g of H₂O. Determine the empirical formula of the compound and enter the appropriate subscript after each element.

C( ) H( ) O( )

If the molar mass of the compound is 204.266 g/mol, determine the molecular formula of the compound and enter the appropriate subscript after each element.
C( ) H( ) O( )

Cu(II) sulfate exists as a hydrate. It has many practical uses including use as a fungicide and pesticide. When mixed with chromium and arsenic it forms the wood preservative called CCA. CCA was used in pressure treated wood to protect wood from rotting due to insects and microbial agents. Because CCA-treated wood contains toxic heavy metals, its use has been discontinued for home use and children’s play sets.

A chemist is given a sample of the CuSO₄ hydrate and asked to determine the empirical formula of it. The original sample weighed 42.75 g. After heating to remove the waters of hydration, the sample weighed 27.38 g. Determine the formula for this hydrate.

Please show all work!

2. The data sample,below gives the lengths (in cm) of 43 male coyotes found in Nova Scotia. For this x=92.06ands=6.70.

78.0 80.0 90.0 90.5 96.0 96.0,80.0 81.3 83.8 84.5 85.0 86.0 86.4 86.5 87.0 88.0 88.0 88.9 88.9 91.0 91.0 91.0 91.4 92.0 92.5 93.0 93.5 95.0 95.0 95.0 95.0 95.5 96.0 96.0 97.0 98.5 100.0 100.5 101.0 101.6 103.0 104.1 105.0

This data has a bell-shaped distribution. See how well the empirical rule describes the actual distribution of this data by finding the percentage of sample values within one, two, and three standard deviations of the mean.

Analyzing and Interpreting Income Disclosures

Sales information for Tesla Inc. follows.

Automotive sales revenue includes revenues related to sale of new Model S, Model X and Model 3 vehicles, including access to our Supercharger network, internet connectivity, Autopilot, full self-driving and over-the-air software updates.

Automotive leasing revenue includes the amortization of revenue for Model S and Model X vehicles under direct lease agreements as well as those sold with resale value guarantees accounted for as operating leases under lease accounting. We do not yet offer leasing for Model 3 vehicles.

Services and other revenue consists of non-warranty after-sales vehicle services, sales of used vehicles, sales of electric vehicle components and systems to other manufacturers, retail merchandise, and sales by our acquired subsidiaries to third party customers.

Energy generation and storage revenues consists of the sale of solar energy systems and energy storage systems to residential, small commercial, and large commercial and utility grade customers.

Compute the relative size of sales revenue from the four types of revenue Tesla discloses. (Hint: Scale each type of revenue by total revenue.)
Round answers to the nearest whole percentage.

Compute the growth in sales revenue for both years from each of the four types of revenue.

• Round answers to the nearest whole percentage.
• Use a negative sign with answers, when appropriate.

Classique Household Furnishings & Appliances is a family-owned furniture store. You are the management accountant of the concern and have been given the task of preparing the cash budget for the business for the quarter ending September 30, 2018. Your data collection has yielded the following

Extracts from the sales and purchases budgets are as follows:

Cash Sales

$50,000 $65.000 $43,400 $52,800 $56,750

Sales Purchases On Account On Account

$480,000 $600,000 $720,000

$640,000

$800,000

$390.000 $360,000 $450,000 $400,000

$500,000

Month

May

June

July August September

An analysis of the records shows that trade receivables (accounts receivable) for sales on account are settled according to the following credit pattern, in accordance with the credit forms 5/30, n90:

50% in the month of sale 35% in the first month following the sale 15% in the second month following the sale

Accounts payable are settled as follows, in accordance with the credit forms - 4/30, n60 70% in the month in which the inventory is purchased 30% in the following month

Monthly rental is received from a tenant for storage space rental to him by Classique Household Furnishings & Appliances. The rental is $840,000 per annum and is received quarterly in advance

Rental relating to the quarter under review becomes due on July 1.

Computer equipment, which is estimated to cost $350,000, will be acquired for cash in August The manager has made arrangements with the seller to make a cash deposit of 50% of the amount upon signing of the agreement in August with the balance to be settled in four equal monthly instalments, starting in September 2018.

An investment instrument purchased by the company with a face value of $480,000 will mature on July 20, 2018 and will be liquidated on that date. At the same time, quarterly interest computed at a rate of 8% % per annum will also be collected.

Fixed operating expenses, which accrue evenly throughout the year are estimated to be $1,920.000 per annum including depreciation on non-current assets of $42,000 per month and are settled monthly

i)

iv)

vi)

vii)

viil)

Wages and salaries are expected to be $2,304,000 per annum and will be paid monthly

Other operating expenses are expected to be $144,000 per quarter and are settled monthly

In the month of August, furniture & fixtures, which cost $455,000, will be sold to an employee at a Inss of $20.000. Accumulated depreciation on the furniture & fixtures at that time is expected to be $305,000. The employee will be allowed to pay a deposit equal to 60% of the selling price in

Management Issues for Non-Depository Institutions

The EverSure Insurance Company has the following financial statements.

                                                                              2018                             2017

Net Premiums Written                                         48,612                          47,398

-------------------------------------------------------------------------------

Income Statement ($ mils.)

Premiums Earned                                             42,624                           48,321

Loss Expenses                                                 30,746                            34,364

Operating Expenses                                          17,720                           17,693

Total Policy Expenses                                       48,466                           52,057

Net Underwriting Gain/Loss                             (5,842)                           (3,736)

Net Investment Income                                       15,700                        19,995

Operating Income before taxes                         9,858                           16,259

Dividends to Policyholders                                6,517                            10,361

Income Tax                                                       1,294                              1,670

Net Income                                                      $2,047                           $ 4,228

Ave Investment Yield                                       4.94%                             5.89%

(mils.)                                                               2018                               2017

Total Assets                                                  $381,972                        $406,529

Liabilities

Total Liabilities                                            $349,069                           $369,700

Total Equity                                                   32,903                               36,829

Total Liabs. & Equity                                   $381,972                            $406,529

a. Calculate and evaluate the Net Underwriting Margin (NUM); Loss Ratio Expense Ratio; Combined Ratio; and Overall Profitability Ratio for each year using the information in the income statement above. Also calculate the firm’s OPM, OROA, ROA, ROE, and equity multiplier (EM).

Recall NUM = (Premiums Earned – Total Policy Expenses) / Total Assets

NUM 2018__________ NUM 2017 ______________

Recall: expense ratio = (operating expenses/net premiums written) and loss ratio = (loss expenses/premium earned), and combined ratio = (loss ratio + expense ratio), and overall profitability ratio = {[100% - Combined Ratio%] + (Investment Yield% }for the firm each year) Also calculate asset turnover (revenues/total assets), net profit margin [net income/revenues], operating ROA (operating income/total assets), return on assets (net income/total assets) and return on equity (net income/equity accounts), and equity multiplier (total assets / equity).

                                                                                      2018                                                           2017

Expense ratio

Loss ratio

Combined ratio

Average Investment Yield

Overall Profitability

Dupont Analysis:

Asset Turnover

Net Profit Margin

OROA

ROA

ROE

Equity Multiplier (EM)

b. Analyze the trends in all of the ratios, and the other financial information provided. What do each of these specifically reveal for trends over time including trends as well on the firm’s balance sheet? What areas of strength & weakness are revealed? What advice for improvement would you give?

a) Tom Goodly Ltd guarantees the bank overdraft of Pete Smith Ltd during 2018. Tom Goodly Ltd’s reporting period ends on 30 June each year. At the time of

providing the guarantee, Pete Smith Ltd was in a sound financial position. During late 2019, due to the outbreak of the COVID-19 pandemic, international

trading conditions deteriorated to such an extent that Pete Smith Ltd incurred substantial losses. Finally, on 25 July 2020, Pete Smith Ltd was forced to file for

protection from its creditors.

Required:

Explain how Tom Goodly Ltd would report the guarantee provided to Pete Smith Ltd in its financial statements ending

i) 30 June 2019

ii) 30 June 2020 3

b) As at 30 June 2018, T&P Ltd’s equity accounts are as follow: 400  000 ‘A’ ordinary shares, issued at $2.50 each, fully paid $ 1 000 000

75  000  6% cumulative preference shares, issued at $3 and paid to $2 150  000

Accumulated losses (12 750)

As the company had incurred a loss for the year ended 30 June 2018, no dividends were declared for that year. The following transactions and events occurred during the year ended 30 June 2020.

2019 July 25 The directors made the final call of $1 on the preference shares. Aug 31 All call monies were received except those owing on 5000 preference shares.

Sept 7 The directors resolved to forfeit 5000 preference shares for non-payment of the call. The constitution of the company directs that forfeited amounts are not to be refunded to shareholders. The shares will not be reissued.

Nov 1 The company issued a prospectus offering 40  000 ‘B’ ordinary shares payable in two instalments: $3 on application and $2 on 30 November 2022. The offer closed on 30 November.

Nov 30 Applications for 50  000 ‘B’ ordinary shares were received.

Dec 1 The directors resolved to allot the ‘B’ ordinary shares pro rata with all

applicants receiving 80% of the shares applied for. Excess application

monies were allowed to be held. The shares were duly allotted.

Dec 5 Share issue costs of $8600 were paid.

Required:

Prepare general journal entries to record the above transactions.

QUESTION FIVE [20]

The following information has been extracted from the financial statements of YDI Limited: Extract of Statement of Comprehensive Income for the year ended 31 December 2019 2018 R R Sales 2 000 000 1 600 000 Cost of sales 940 000 800 000 Operating profit 600 000 520 000 Profit before tax 520 000 450 000 Profit after tax 364 000 315 000 Extract of Statement of Financial Position as at 31 December Assets 2019 2018 R R Non-current assets 2 000 000 1 400 000 Inventories 600 000 800 000 Accounts receivable 400 000 400 000 Cash and cash equivalents 2 000 2 000 3 002 000 2 602 000 17 R R Equity and liabilities Shareholders’ equity 2 000 000 1 500 000 Long-term loan 700 000 800 000 Accounts payable 182 000 142 000 Bank overdraft 120 000 160 000 3 002 000 2 602 000 Note: 1. All purchases and sales of inventories are on credit. 2. Dividends paid during the year amounted to R218 400. 3. The issued share capital consisted of 500 000 ordinary shares. Required: 5.1 Calculate the following ratios for the year ended December 2019. Where applicable, round off answers to two decimal places. 5.1.1 Operating margin (2) 5.1.2 Debtors collection period (2) 5.1.3 Acid test ratio (2) 5.1.4 Return on equity (2) 5.1.5 Debt to equity (2) 5.1.6 Earnings retention ratio (2) 5.1.7 Earnings per share (2) POSTGRADUATE DIPLOMA IN MANAGEMENT – ACADEMIC AND ASSESSMENT CALENDAR REGENT BUSINESS SCHOOL (RBS) July 2020 18 5.2 Suggest two (2) ways in which YDI Limited can improve on its collections from debtors. (2) 5.3 Comment on the current ratio which dropped from 3.98:1 in 2018 to 3.32:1 in 2019. (2) 5.4 Recommend two (2) ways in which YDI Limited can improve its profitability.