If a random sample of 125 items is taken from a population in which the proportion of items having a desired attribute is p = 0.16, what is the probability that the proportion of successes in the sample will be more than 0.2?

What is the difference between the Normal Hydrogen Electrode (NHE) and the Reversible Hydrogen Electrode (RHE)?

- Also, if a redox happens at the NHE of 0.2 V, please calculate the potential for the RHE at pH = 1.

What is the difference between the Normal Hydrogen Electrode (NHE) and the Reversible Hydrogen Electrode (RHE)?

- Also, if a redox happens at the NHE of 0.2 V, please calculate the potential for the RHE at pH = 1.

2. The joint pmf of ? and ? is given by

??,? (?, ?) = （x+y）/27  ??? ? = 0, 1,2; ? = 1, 2, 3,

and ??,? (?, ?) = 0 otherwise.

a. Find ?(?|? = ?) for all ? = 0,1, 2.

b. Find ?(3 + 0.2?|? = 2).

You are an accountant for a large department store and have been given the assignment of developing a model to predict the amount of time it takes to process invoices. Data is collected daily for 32 consecutive working days, and the number of invoices processed and completion time (in hours) are stored under the tab Invoice in the Excel data file for this homework.

a. Create the appropriate scatter plot and calculate the coefficient of correlation. Comment on the results. Does it appear a linear relationship exists?

b. Use the least-squares method to compute the regression coefficients b₀ and b₁.

c. Interpret the meaning of b₀ and b₁ in this problem.

d. What if the predicted mean amount of time it would take to process 150 invoices? Include a confidence interval for this prediction.

e. Determine the coefficient of determination, R², and explain its meaning in this problem.  

g. Perform a complete residual analysis. Does the analysis support all the assumptions required for a valid model? Explain.

h. Based on your results in part g, what can you say about the validity of the prediction you made in part c?

h. What conclusions can you reach about the relationship between then number of invoices processed and the completion time? What actions, if any, would you take next?

1. The Alpha Company had sales of $2,000,000, net operating income of $320,000 and average operating assets of $575,000. What was the return on investment? Round your percentage answer to the nearest whole percent.

Answer:____________

2. ABC Industries is evaluating the amount of time between when a customer places an order and when the order is shipped. For last year, the following data was reported:

Inspection time           0.3 days

Wait time                    7.0 days

Process time             2.6 days

Move time                  0.8 days

Queue time                 3.4 days

What is the delivery cycle time in days? Enter the value with 1 decimal place.

Answer:__________

3. Which of the following activities adds value to the product?
   1. Queue time
   2. Process time
   3. Move time
   4. Inspection time

4. When a company has a manufacturing cycle efficiency ratio of 50%, that means that:
   1. Wait time is equal to 50% of the throughput time
   2. Inspection time is equal to 50% of the throughput time
   3. Process time is equal to 50% of the throughput time
   4. Queue time is equal to 50% of the throughput time

5. The net operating income that an investment center earns above the minimum required return on its average operating assets is:
   1. Net income
   2. Return on investment
   3. Residual income
   4. Gross margin

6. ABC Company had sales of $400,000, net operating income was $112,000, and average operating assets were $520,000. What is the company’s return on investment rounded to 2 decimals?
   1. 28.00%
   2. 21.54%
   3. 76.92%
   4. 21.92%

7. A company is deciding if they should add a new product line that would increase sales by $1,200,000, variable expenses are 45% of sales, and fixed costs are $500,000. The new product line would require an investment that would increase average operating assets by $200,000. What is the company’s return on investment for this new product line?
   1. 32%
   2. 30%
   3. 80%
   4. 75%

I'm struggling with writing null and alternative hypothesis for two populations. Can anyone please explain HOW TO write the correct Ho and Ha for the following questions? Thanks.

Examples:

1) Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry level mechanical engineers and 60 entry level electrical engineers. Their mean salaries were $46,100 and $46,700, respectively. Their standard deviations were $3,450 and $4,210, respectively. Conduct a hypothesis test to determine if you agree that the mean entry-level mechanical engineering salary is lower than the mean entry-level electrical engineering salary.

2) A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation of 14 pounds.

3) A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5811 years and 1 year, respectively. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.8. The private university students took on average 4.1 years with a standard deviation of 0.3.

Eliminating Entries, Previously Unreported Intangibles, Goodwill

Pirin Company acquires all of the voting stock of Skoda Automotive for $40 million in cash. Skoda’s balance sheet accounts at the date of acquisition are listed below.

Date-of-acquisition book values approximate fair value for all reported assets and liabilities. The following previously unreported intangibles are identified as belonging to Skoda, along with their estimated fair values at the date of acquisition (in millions):

Required

a. Prepare a schedule calculating the goodwill to be recognized for this acquisition.

Do not use negative signs with your answers.

Enter answers in millions (do not round answers).

b. Prepare the eliminating entries necessary to consolidate the balance sheet accounts of Pirin and Skoda at the date of acquisition.  

Enter answers in millions. Do not round answers.