Sony corporation conducts a study in which a sample of 44 employees is selected from one site with a population standard deviation of 3.3. The sample mean weight of the employees is 101.5kg. A sample of 46 employees is selected from a second site with a population standard deviation of 5.0kg. The sample mean weight of the employees is 99.9. Conduct the following test of hypothesis using the 0.10 significance level.

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

1. Is this a one-tailed or a two-tailed test?

• One-tailed test

• Two-tailed test

2. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

3. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

4. What is your decision regarding H₀?

• Reject H₀

• Do not reject H₀

5. What is the p-value? (Round your answer to 4 decimal places.)

1. (a) If A and B are independent events with P(A) = 0.6 and P(B) = 0.7, find P (A or B).

(b) A randomly selected student takes Biology or Math with probability 0.8, takes Biology and Math with probability 0.3, and takes Biology with probability 0.5. Find the probability of taking Math.

2. A box contains 4 blue, 6 red and 8 green chips.

1. In how many different ways can you select 2 blue, 3 red and 5 green chips? (Give the exact numerical value).

2. Draw two chips in a row without replacement. Find the probability that both chips are green.

3. Based on the following table, compute the probabilities below:

P (Women and Yes) =

P (Men | Yes) =

P (No | Women) =

P (Men or No) =

Are Men and No Opinion mutually exclusive?

Are Men and No Opinion independent? Justify your answer by an appropriate computation.

Question 4: The HR department of a large company needs to assign a newly hired director to either their marketing development or their marketing operations division. To help in their decision, they organize two discussion groups with randomly selected employees from each division. During the talks, the director lays out his marketing vision and employees ask questions relevant to their daily work. At the end, each employee has to rate the director on a scale from 1 to 10 (1=very bad; 10=very good). The HR department wants to know if the distribution of ratings of the marketing development employees is different among the employees of the two divisions. Ratings data for the two groups of employees are included in the Minitab file HR_Ratings.mtw and in the Excel file Assign2.xlsx under the HR_Ratings tab.

a) Examine the distributions of the ratings (show histograms) by the two groups of employees and explain why a non-parametric test is justified to perform the analysis.

b) Perform an appropriate non-parametric test using a 5% significance level to determine if the distribution of ratings of the marketing development employees is different than that of the marketing operations employees. Specify any assumptions and/or conditions you need to make to apply the test and state your hypothesis clearly. Show your manual calculations.

c) Use Minitab to perform the test in b) above and compare your results here is the data for HR_Ratings.mtw

Datafrom HR_Ratings.wtw below

Question 18 options:

(Estimated time allowance: 40-50 minutes)

HL Construction Co. plans to replace one of its manufacturing equipment for a newer more technology-advance one. The new equipment has a purchase price of $8,000 and will be depreciated as a 7-year class for MACRS. Installation costs for the new equipment are $200. It is estimated that this equipment can be sold in 4 years (end of project) for $5,000. This new equipment is more efficient than the existing one and thus savings before taxes using the new equipment are $4,000 a year. Because of the advance technology of new equipment, there will be a reduction in inventory of $400 today and which will be reverted at the end of the project in year 4.

This existing equipment was purchased 2 years ago at a base price of $3,000. Installation costs at the time for this old equipment were $100. The existing equipment is considered also 7-year class for MACRS. The existing equipment can be sold today for $1,000 and for $0 in 4 years. The company's marginal tax rate is 30% and the cost of capital is 10%.

Answer the 7 questions below.

For your answer, round to the nearest dollar, do not enter the $ sign, use commas to separate thousands, use a negative sign in front of first number is the cash flow is negative (do not use parenthesis to indicate negative cash flows). For example, if your answer is $3,005.87 then enter 3,006; if your answer is -$1,200.25 then enter -1,200

1. What is today's remaining book value of existing equipment?

2. What is the project's initial cash flows (initial outlay: IO) at Year 0?

3. What is the incremental net operating profit (ΔNOPAT) for Year 4 of this replacement project?

4. What is the incremental cash flow (ΔFCF also known as ΔOCF) for Year 4?

5. What is the cash flow due to tax on salvage value of new equipment at Year 4? If this is a cash outflow put the negative sign (-) in front of the value ** do not use parentheses. If it is a cash inflow, then just enter the number

6. What is the after tax salvage value of the new equipment at Year 4?

7. What is the project's total incremental cash flow for Year 4?

Question 6 (a) A hospital cafeteria proposes to serve 4 main entrees. For planning purposes, the manager expects that the proportions of each that will be selected by his customers will be: Selection Proportion Chicken 0.4 Roast beef 0.2 Steak 0.1 Fish 0.3 Of the first 100 customers, 44 selected chicken, 25 selected roast beef, 13 select steak, and 18 selected fish. Should the manager revise his estimates? Use α= 0.01.

(b) Five brands of orange juice are displayed side by side in several supermarkets in Hobart. It was noted that in one day, 180 customers purchased orange juice. Of these, 30 picked Brand A, 40 picked Brand B, 25 picked Brand C, 35 picked Brand D, and 50 picked Brand E. In this city, can you conclude at the 5% significance level that there is a preferred brand of orange juice? (9 marks

4. Do people find hairy spider more scary than non-hairy spiders? To find out, 20 people were randomly assigned to two groups of 10. One group viewed hairy spiders and the other group viewed a very similar, but non-hairy, spider. Each person was asked to rate the spider she or he viewed on a scariness scale from 1 to 10 (with 10 being the most scary). The results were as follows:

Hairy Non-hairy 51 73 84 85 95 96 96 96

10 7 10 8

Note that the data is not normally distributed and the two populations are not related. Perform an appropriate hypothesis test to answer the question.

A firm has two types of sales for one product: online and mail order. The firm understands these two types of sales to be substitutable. The firm's standard mix is 3 online sale(s) for every 8 mail order sale(s).

• Online sales bring in $23 each
• Mail order sales bring $7 each

The firm's actual sales were 10,000 total units with 4,000 online sale(s) and 6,000 mail order sale(s).

What is the firm's mix variance for sales?

NOTE: only input a number, without indicating favorability (for simplicity, I've made sure that the relevant variance equation leads to a positive number). Round final answer to cents if necessary.

2. Suppose there are two bonds for sale; Bond ART with 7-years to maturity, paying a semi-annual interest payment of $57.75, and available for purchase at $1,017.63; and then a second bond, Bond BMW, for sale at $989.54, maturing in 8-years, and paying $63.65 on a semi-annual basis. What is the YTM of the two bonds? And which one will you add to your portfolio based on the highest yield to maturity?

• YTM of ART = .1118 or 11.18%
• YTM of BMW = .1294 or 12.94%
• Select BMW

PLEASE show work. This is on my finance study guide and we are not allowed to use excel, I have to know how to do it by hand. Right above are the answers, just need to know how to get them

Problem 2

You are curious about whether you can enhance the ability to hear differences between nonnative speech sounds when people learn a new language. You test your novel language training procedure on a group of 32 pariticipants using a pretest/posttest design. The pretest and the posttest measure performance as the number of correct trials out of 100. The data are shown on the right. Does the new language training procedure improve the perception of nonnative speech sounds?

Use the four-step hypothesis testing procedure described in class, formatted as in the sample assignment. In addition, calculate 1) the effect size and 2) confidence interval associated with the data. Show your work.