With the growing popularity of casual surf print clothing, two recent MBA graduates decided to broaden this casual surf concept to encompass a “surf lifestyle for the home.” With limited capital, they decided to focus on surf print table and floor lamps to accent people’s homes. They projected unit sales of these lamps to be 7,000 in the first year, with growth of 8 percent each year for the next five years. Production of these lamps will require GH¢35,000 in net working capital to start. Total fixed costs are GH¢ 95,000 per year, variable production costs are GH¢ 20 per unit, and the units are priced at GH¢48 each. The equipment needed to begin production will cost GH¢175,000. The equipment will be depreciated using the straight-line method over a five-year life and is not expected to have a salvage value. The effective tax rate is 34 percent, and the required rate of return is 25 percent. Evaluate the project using NPV.

1. Joe is considering pursuing an MBA degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 25 percent for University A and 40 percent for University B.
   
   a) Is the acceptance decision at University A independent of the acceptance decision at University B?  

2. What is the probability that Joe will be accepted at both universities?
3. What is the probability that Joe will be accepted at University A and rejected at University B?
4. What is the probability that Joe will not be accepted at either university?
5. What is the probability that Joe will be accepted by at least one of the two universities?
6. What is the probability that Joe will be accepted at one, and only one, university?

Can someone please help me with these questions with steps for Statistics for the business course??

2)Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 132000 dollars. Assume the standard deviation is 31000 dollars. Suppose you take a simple random sample of 59 graduates.

Find the probability that a single randomly selected salary has a mean value between 116260.2 and 145318.3 dollars.
P(116260.2 < X < 145318.3) =  (Enter your answers as numbers accurate to 4 decimal places.)

Find the probability that a random sample of size n=59n=59 has a mean value between 116260.2 and 145318.3 dollars.
P(116260.2 < ¯xx¯ < 145318.3) =  (Enter your answers as numbers accurate to 4 decimal places.)

3)A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 36.1 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 36.1 weeks and that the population standard deviation is 5.4 weeks. Suppose you would like to select a random sample of 91 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is between 35 and 37.2.
P(35 < X < 37.2) =

Find the probability that a sample of size n=91n=91 is randomly selected with a mean between 35 and 37.2.
P(35 < ¯xx¯ < 37.2) =

Enter your answers as numbers accurate to 4 decimal places.

4)CNNBC recently reported that the mean annual cost of auto insurance is 957 dollars. Assume the standard deviation is 271 dollars. You take a simple random sample of 73 auto insurance policies. (Do not use tables unless directed to do so.)

Find the probability that a single randomly selected value is more than 994 dollars.
P(X > 994) =

Find the probability that a sample of size n=73n=73 is randomly selected with a mean that is more than 994 dollars.
P(¯xx¯ > 994) =

Enter your answers as numbers accurate to 4 decimal places.

5)Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 168000 dollars. Assume the standard deviation is 43000 dollars. Suppose you take a simple random sample of 70 graduates.

Do not use probability tables to find the probabilities below as they may not be accurate enough.

Find the probability that a single randomly selected salary is more than 164000 dollars.
P(X > 164000) =

Find the probability that a sample of size n=70n=70 is randomly selected with a mean that is more than 164000 dollars.
P(¯xx¯ > 164000) =

Enter your answers as numbers accurate to 4 decimal places.

6)A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 23 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 23 weeks and that the population standard deviation is 9 weeks. Suppose you would like to select a random sample of 38 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is less than 24.
P(X < 24) =

Find the probability that a sample of size n=38n=38 is randomly selected with a mean less than 24.
P(¯xx¯ < 24) =

Enter your answers as numbers accurate to 4 decimal places.

7)A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 261.5-cm and a standard deviation of 0.5-cm. For shipment, 13 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is less than 261.7-cm.
P(¯xx¯ < 261.7-cm) =

Enter your answer as a number accurate to 4 decimal places.

2)Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 132000 dollars. Assume the standard deviation is 31000 dollars. Suppose you take a simple random sample of 59 graduates.

Find the probability that a single randomly selected salary has a mean value between 116260.2 and 145318.3 dollars.
P(116260.2 < X < 145318.3) =  (Enter your answers as numbers accurate to 4 decimal places.)

Find the probability that a random sample of size n=59n=59 has a mean value between 116260.2 and 145318.3 dollars.
P(116260.2 < ¯xx¯ < 145318.3) =  (Enter your answers as numbers accurate to 4 decimal places.)

3)A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 36.1 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 36.1 weeks and that the population standard deviation is 5.4 weeks. Suppose you would like to select a random sample of 91 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is between 35 and 37.2.
P(35 < X < 37.2) =

Find the probability that a sample of size n=91n=91 is randomly selected with a mean between 35 and 37.2.
P(35 < ¯xx¯ < 37.2) =

Enter your answers as numbers accurate to 4 decimal places.

4)CNNBC recently reported that the mean annual cost of auto insurance is 957 dollars. Assume the standard deviation is 271 dollars. You take a simple random sample of 73 auto insurance policies. (Do not use tables unless directed to do so.)

Find the probability that a single randomly selected value is more than 994 dollars.
P(X > 994) =

Find the probability that a sample of size n=73n=73 is randomly selected with a mean that is more than 994 dollars.
P(¯xx¯ > 994) =

Enter your answers as numbers accurate to 4 decimal places.

5)Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 168000 dollars. Assume the standard deviation is 43000 dollars. Suppose you take a simple random sample of 70 graduates.

Do not use probability tables to find the probabilities below as they may not be accurate enough.

Find the probability that a single randomly selected salary is more than 164000 dollars.
P(X > 164000) =

Find the probability that a sample of size n=70n=70 is randomly selected with a mean that is more than 164000 dollars.
P(¯xx¯ > 164000) =

Enter your answers as numbers accurate to 4 decimal places.

6)A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 23 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 23 weeks and that the population standard deviation is 9 weeks. Suppose you would like to select a random sample of 38 unemployed individuals for a follow-up study.

Find the probability that a single randomly selected value is less than 24.
P(X < 24) =

Find the probability that a sample of size n=38n=38 is randomly selected with a mean less than 24.
P(¯xx¯ < 24) =

Enter your answers as numbers accurate to 4 decimal places.

7)A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 261.5-cm and a standard deviation of 0.5-cm. For shipment, 13 steel rods are bundled together.

Find the probability that the average length of a randomly selected bundle of steel rods is less than 261.7-cm.
P(¯xx¯ < 261.7-cm) =

Enter your answer as a number accurate to 4 decimal places.

With the growing popularity of casual surf print clothing, two recent MBA graduates decided to broaden this casual surf concept to encompass a “surf lifestyle for the home.” With limited capital, they decided to focus on surf print table and floor lamps to accent people’s homes. They projected unit sales of these lamps to be 8,000 in the first year, with growth of 8 percent each year for the next five years. Production of these lamps will require $45,000 in net working capital to start. The net working capital will be recovered at the end of the project. Total fixed costs are $105,000 per year, variable production costs are $10 per unit, and the units are priced at $38 each. The equipment needed to begin production will cost $185,000. The equipment will be depreciated using the straight-line method over a five-year life and is not expected to have a salvage value. The effective tax rate is 25 percent and the required rate of return is 24 percent. What is the NPV of this project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

With the growing popularity of casual surf print clothing, two recent MBA graduates decided to broaden this casual surf concept to encompass a “surf lifestyle for the home.” With limited capital, they decided to focus on surf print table and floor lamps to accent people’s homes. They projected unit sales of these lamps to be 7,600 in the first year, with growth of 5 percent each year for the next five years. Production of these lamps will require $41,000 in net working capital to start. The net working capital will be recovered at the end of the project. Total fixed costs are $101,000 per year, variable production costs are $25 per unit, and the units are priced at $52 each. The equipment needed to begin production will cost $181,000. The equipment will be depreciated using the straight-line method over a five-year life and is not expected to have a salvage value. The effective tax rate is 38 percent and the required rate of return is 23 percent.

What is the NPV of this project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

With the growing popularity of casual surf print clothing, two recent MBA graduates decided to broaden this casual surf concept to encompass a “surf lifestyle for the home.” With limited capital, they decided to focus on surf print table and floor lamps to accent people’s homes. They projected unit sales of these lamps to be 10,200 in the first year, with growth of 7 percent each year for the next five years. Production of these lamps will require $49,000 in net working capital to start. Total fixed costs are $131,000 per year, variable production costs are $18 per unit, and the units are priced at $60 each. The equipment needed to begin production will cost $585,000. The equipment will be depreciated using the straight-line method over a 5-year life and is not expected to have a salvage value. The tax rate is 22 percent and the required rate of return is 17 percent. What is the NPV of this project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.

Suppose that a MBA level stat course is taught using four different methods of instruction: (1) 100% online; (2) a “half and half” format where one week the class meets for a lecture, the next week, material is posted online, etc.; (3) traditional weekly lecture meetings plus supplementary material posted online; and (4) traditional weekly lecture meeting with no use of the web.     Twenty students are surveyed from each course and are asked to estimate the average number of hours per week that they spent on the course, including time spent attending lectures if the course had any. The results appear in the included data file.

(a)    Create boxplots for these four sets of data (all on the same graph). Based on the plots, what do you think about the ANOVA assumptions of normal populations and equal variances? (You’ll test these in Part (d), I’m just interested in a visual interpretation here.)   Your answer should include justification….. don’t just say ‘yup’ or ‘nope.’

(b)    Create interval plots for this data (four intervals on the same plot) so that we can visually compare the four groups. This is the plot that shows a confidence interval for each unknown population mean. Based on the plot, do you believe that the population mean time spent is the same for all groups? Again, show the reasoning behind your answer.

(c)    Let μ1 represent the population mean time spent for method (1), μ2 the mean time spent for method (2), and so on. Test the null hypothesis that all means are equal at the 0.05 level of significance, versus the usual ANOVA alternative.

(d)    Is there evidence of violations of the usual ANOVA assumptions of equal variances and normal populations? Set up and perform appropriate TESTS at the α = 0.05 level of significance.  

(e)    If your answer in Part (c) was to “reject H0” then perform an appropriate statistical procedure to determine which means are different from which other means (a visual inspection is not sufficient.).   If differences exist, be sure to report the ‘direction’ of the d

With the growing popularity of casual surf print clothing, two recent MBA graduates decided to broaden this casual surf concept to encompass a “surf lifestyle for the home.” With limited capital, they decided to focus on surf print table and floor lamps to accent people’s homes. They projected unit sales of these lamps to be 10,800 in the first year, with growth of 7 percent each year for the next five years. Production of these lamps will require $61,000 in net working capital to start. Total fixed costs are $149,000 per year, variable production costs are $19 per unit, and the units are priced at $62 each. The equipment needed to begin production will cost $615,000. The equipment will be depreciated using the straight-line method over a 5-year life and is not expected to have a salvage value. The tax rate is 23 percent and the required rate of return is 19 percent. What is the NPV of this project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

With the growing popularity of casual surf print clothing, two recent MBA graduates decided to broaden this casual surf concept to encompass a “surf lifestyle for the home.” With limited capital, they decided to focus on surf print table and floor lamps to accent people’s homes. They projected unit sales of these lamps to be 10,700 in the first year, with growth of 6 percent each year for the next five years. Production of these lamps will require $59,000 in net working capital to start. Total fixed costs are $146,000 per year, variable production costs are $18 per unit, and the units are priced at $61 each. The equipment needed to begin production will cost $610,000. The equipment will be depreciated using the straight-line method over a 5-year life and is not expected to have a salvage value. The tax rate is 22 percent and the required rate of return is 18 percent. What is the NPV of this project?