1) a proportion of shoreline student who love pineapple on pizza who are from Asia p hat=17/47=0.362

2) a proportion of shoreline student who love pineapple on pizza who are from Congo p hat=11/32

For each of the steps below, explain your work in words, symbols, and pictures.

1. Write the null and alternative hypotheses in words and symbols.

2. Check the conditions necessary to use the Central Limit Theorem.

3. Select an alpha level and use it to find the critical values.

4. Find your test statistic and compare it to the critical values.

5. Compute the p-value of your test statistic and compare it to alpha.

6. Describe what the p-value measures in this hypothesis test.

7. Make a decision about the null hypothesis.

8. Interpret that decision.

Who does the International Monetary Fund account to, and who benefits from the International Monetary Fund?

Please be thorough with your answer and include as many details as possible in your explanation.

Contrast the characteristics of people who live in individualistic cultures from those who live in collectivistic cultures.

The following balance sheet has been prepared by the accountant for Limestone Company as of June 3, 2017, the date on which the company is to file a voluntary petition of bankruptcy:

Additional Information

• If the company is liquidated, administrative expenses are estimated at $27,000.
• The accounts payable figure includes $19,000 in wages earned by the company's 12 employees during May. No one earned more than $3,100.
• Liabilities do not include taxes of $23,000 owed to the U.S. government.
• Company officials estimate that 35 percent of the accounts receivable will be collected in a liquidation and that the inventory disposal will bring $89,000. The land and buildings will be sold together for approximately $328,000; the equipment should bring $139,000 at auction.

• Prepare a statement of financial affairs for Limestone Company as of June 3, 2017.

A motivational speaker is interested in the demographics of their shows’ attendees. A random sample of 1051 adults who attended their last show was taken and the gender and US Census region in which they lived were recorded and summarized in the table below:

(a) Suppose the speaker is going to ignore gender and is interested in whether people attending the events are equally likely to be from the four regions of the USA. What is the appropriate hypothesis test the researcher could use?

i. Chi Squared Test for Independence

ii. Chi Squared Test for goodness of fit (where we know the contents of the box)

iii. Two Sample Z test for difference in proportions

iv. One Sample Z test for proportions

(b) Calculate the test statistic, degrees of freedom (if relevant), and p value for the test of whether people attending the events are equally likely to be from the four regions of the USA.

(c) Suppose the speaker is also interested in whether Gender and US Census region are independent. What would be the appropriate expected count under the null of independence for the cell: Females and South?

Bank X’s bid rate on euros is US$1.10 and its ask rate is US$1.128.

1. (a) Calculate the bid/ask spread of euros (in %).

2. (b) Calculate the amount of euros that you can get from selling US$200,000.

3. (c) Explain how the following factors affects sizes of bid-ask spreads:

   1. (i) Inventory costs

   2. (ii) Competition with other banks

a) Saha have two investment alternatives from which he need to choose one. If the current market interest rate is 8%, which alternative would saha choose and why?

Alternative 1: Receive $ 280 semi-annually for the next 12 years

Alternative 2: Receive $ 12000 lumpsum at the end of 12 years

b) During the four years of saha's University life, saha have received the following amounts of money at the end of each year for outstanding performance from the university fund. He deposited his money in a savings account paying 10 percent rate of interest per annum. How much money will he have on the graduation day at the end of four years?

The following is a cross-tabulation of the variables gender and units (the number of units in which a student has enrolled) from a recent class survey. Number of Units Gender 1 2 3 4 5 female 4 11 60 191 3 male 2 10 28 86 1 Note that χ 2 tests require all expected frequencies to be at least 5. To ensure this you may need to combine columns in a way that makes sense in the context of a test for association. That is, you could combine columns 1 and 2, but not columns 1 and 4. Assuming the data come from randomly-selected Murdoch University students, test for an association between gender and unit load in the Murdoch University student population. If you find an association, describe it.

. The University of Iowa is experimenting with a blend of soil amendments to be used in an analysis of variance study of the response of tomatoes to various amounts of sunlight. To perform this study, all other elements must be controlled so that the only variable is the sunlight. The minimum requirements for calcium, phosphorous, and potassium are 125 pounds, 150 pounds, and 120 pounds respectively. The soil amendment mixture from Prairie Gold consist of 25% calcium, 25% phosphorous, 12½% potassium, and 37½% other ingredients. It costs $0.40 per ounce. The mixture from Grinell Grow is 20% calcium, 25% phosphorous, 25% potassium, and 30% other ingredients. It sells for $0.50 per ounce.

Formulate a linear programming model that will allow the University of Iowa to conduct this experiment using a minimum cost blend of the two soil amendment mixtures.

DIPLOMA Assignment
January-June LR 112 - Labour Relations
© BOU 2020 Page 2 of 3
SECTION A [25 MARKS]
Answer ALL questions in this section
Read the following and answer the questions that follow
REDUNDANCY
Redundancy is when an employee is no longer required to work, through no fault of their own.
Redundancies occur when employees are dismissed because their job no longer exists. Usually
this happens when the employer no longer requires that job to be done by anyone and hence that
job becomes redundant. Redundancy is caused by a mix of factors such as decline in level of
economic activity in the organization, technological changes, cost reduction initiatives,
downsizing, merging with another company, economic recession, and business relocation among
other many factors. The right to be collectively consulted applies when an employer proposes to
make 20 or more employees redundant at one establishment over a period of 90 days or less.
Employers should also consult individual employees. Case law has shown that dismissals have
been found to be unfair where a union has been consulted but not the individual. In the UK,
employees who are selected for redundancy must be given a notice period before their
employment ends. The statutory notice periods are:
 At least one week's notice if the employee has been employed between one month and
two years
 One weeks notice for each year of employment between two years and 12 years
 12 weeks notice for someone who has been employed for 12 or more years.
Fortunately, employers have a free hand in setting the selection criteria they want to use. As long
as the criteria are measurable and applied fairly, then a tribunal is unlikely to interfere. TEBOGO
INTERNATIONAL Botswana, a mining giant, for some of these reasons, is deciding to lay
redundant some of its employees. The company however is not aware of important factors for its
redundancy selection process.
Required:
Advise, with practical justifications, the most important factors that Tebogo International Pty Ltd
has to consider to ensure its redundancy selection criteria are objective and fair.