1)- A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance σ² of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of σ² = 23 months (squared) is most desirable for these batteries. A random sample of 29 batteries gave a sample variance of 15.6 months (squared). Using a 0.05 level of significance, test the claim that σ² = 23 against the claim that σ² is different from 23.

(a) What is the level of significance?


State the null and alternate hypotheses.

H_o: σ² = 23; H₁: σ² < 23H_o: σ² = 23; H₁: σ² > 23    H_o: σ² > 23; H₁: σ² = 23H_o: σ² = 23; H₁: σ² ≠ 23

(b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)


What are the degrees of freedom?


What assumptions are you making about the original distribution?

We assume a normal population distribution.We assume a exponential population distribution.    We assume a uniform population distribution.We assume a binomial population distribution.

(c) Find or estimate the P-value of the sample test statistic.

P-value > 0.1000.050 < P-value < 0.100    0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?

Since the P-value > α, we fail to reject the null hypothesis.Since the P-value > α, we reject the null hypothesis.    Since the P-value ≤ α, we reject the null hypothesis.Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 5% level of significance, there is insufficient evidence to conclude that the variance of battery life is different from 23.At the 5% level of significance, there is sufficient evidence to conclude that the variance of battery life is different from 23.    

(f) Find a 90% confidence interval for the population variance. (Round your answers to two decimal places.)

(g) Find a 90% confidence interval for the population standard deviation. (Round your answers to two decimal places.)

2)- Anystate Auto Insurance Company took a random sample of 376 insurance claims paid out during a 1-year period. The average claim paid was $1550. Assume σ = $252.

Find a 0.90 confidence interval for the mean claim payment. (Round your answers to two decimal places.)

Find a 0.99 confidence interval for the mean claim payment. (Round your answers to two decimal places.)

Use the following information to answer questions (problems) 16 - 18. The following data are the result of inspecting aircraft seat belt buckles produced in various lot sizes.

A- WORTH 4 POINTS: What is the average percent defective? Show work & formulae used or just use Minitab and attach/embed.

ANSWER: _______________________

B- WORTH 8 POINTS: What are the upper and lower control limits for the smallest subgroup and the largest subgroup? Show work & formulae used or just use Minitab and attach/embed. Each answer is worth two points apiece.

1. UCL_{Largest Subgroup} = _____________
2. LCL_{Largest Subgroup} = _____________
3. UCL_{Smallest Subgroup} = ____________
4. LCL_{Smallest Subgroup} = ____________

C- WORTH 4 POINTS: What type of control chart should be used for the data above?

1. Xbar-R Chart
2. p-Chart
3. np-Chart
4. c-Chart

I think I have this figured out, but need a double check... Thank you

Here is the question:

Regional distributors are currently using continuous review inventory policy. Compute and describe their inventory management policy and associated cost. Ignore inbound and outbound transportation cost. Provide answers and calculations for order quantity, demand during lead time, safety stock, average inventory level, inventory holding cost per week, ordering cost per week, and total cost per week.

The service level is 90% and the average lead time is 2 weeks.

Here is the style I used to answer.

Supporting info:

Sheldon Corporation projects the following free cash flows (FCFs) and interest expenses for the next 3 years, after which FCF and interest expenses are expected to grow at a constant 7% rate. Sheldon’s unlevered cost of equity is 11% its tax rate is 35%. Year 1 2 3 Free cash flow ($ millions) $20 $30 $40 Interest expense ($ millions) $8 $9 $10 What is Sheldon’s unlevered horizon value of operations at Year 3? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Do not round intermediate calculations. Round your answer to two decimal places. $ million What is the current unlevered value of operations? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Do not round intermediate calculations. Round your answer to two decimal places. $ million What is horizon value of the tax shield at Year 3? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Do not round intermediate calculations. Round your answer to two decimal places. $ million What is the current value of the tax shield? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Do not round intermediate calculations. Round your answer to two decimal places. $ million What is the current total value of the company? Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Do not round intermediate calculations. Round your answer to two decimal places. $ million

Question 3 Relevant costs

Kota Mills produces two types of brocade, silk and polyester. Last month 450 bolts of the polyester brocade and 4,000 bolts of the silk brocade were produced and sold. Average prices and costs for the two products for last month were:

The Kota brocade production line is highly automated. As a result, changes in production will have no impact on labour costs. The direct labour employees are all permanent and 40 hours per week checking the quality on the production line.

All costs, other than corporate fixed costs listed under each product line, can be avoided if either product line is dropped. Corporate fixed costs totals $125,000 per month. Corporate fixed costs of $10,000 can be avoided if the polyester were dropped. Corporate fixed costs of $15,000 can be avoided if the silk brocade is dropped. The remaining $100,000 can only be avoided by going out of business.

Haywood Mills has offered to supply the polyester brocade at a cost of $55 per bolt.

Required:

1. Calculate the total contribution margin for each product, assuming the sales mix is the same as last month’s.
2. Calculate the breakeven sales volume (in units produced and sold) for polyester brocade. In other words, what is the sales volume at which Kota should be financially indifferent between dropping and retaining the polyester brocade?
3. Calculate whether the Haywood Mills offer should be accepted on financial grounds.
4. Discuss at least five qualitative factors that would affect the decision to keep, drop or outsource the polyester brocade.

Problem 6:   Two students are standing the same distance from a source of sound. The first student receives a power of 246 × 10^-6 W in their eardrum. The second student receives σ = 1.17 times more power in their eardrum.

Part (a) What is the ratio of the diameters of the student's eardrums?

Part (b) If the second student's eardrum has a diameter of d = 1 cm what was the intensity of the sound that the student heard, in watts per square meter?

Problem 7:   The softest sound a human ear can hear is at 0 dB (I_o = 10^-12 W/m²). Sounds above 130 dB cause pain. A particular student's eardrum has an area of A = 58 mm².

Part (a) What is the most power, in watts, the ear can receive before the listener feels pain?

Part (b) What is the smallest power, in watts, the ear can detect?

Blood pressure: A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 7 adults. The following table presents the results. The least-squares regression line =y=+b0b1x+24.83840.4499x, =se7.161065, =Σ−xx2407.43, and x=120.71 are known for this data.

1.)Construct a 90% prediction interval for the diastolic pressure of a particular person whose systolic pressure is 120. Round your answer to at least three decimal places.

The two BELLOW examples illustrate the benefits of research WHICH ONE IS AN EXAMPLE OF BAISIC RESEARCH, AND WHICH ONE AN EXAMPLE APPLIED RESEARCH EXAMPLE ONE Globally, colas account for more than 50% of all sodas sold. The challenge for the $187 billion soft drink industry is giving consumers in developed markets the sugary taste they want without giving them the mouthful of calories they don’t. Concerns about obesity and health have led to nine years of falling U.S. soda consumption. The soda giants can’t rely on existing diet versions of their namesake colas, as consumers are shying away from the artificial sweeteners they contain. Critics have blamed the ingredients – rightly or not – for everything from weight gain to cancer. Diet Coke is losing U.S. sales at 7% a year, almost double the rate of decline of American cola sales overall. So Coke and Pepsi are turning to research to save their cola businesses, which take in about two‐thirds of the industry’s U.S. sales. “If you can crack the perfect sweetener, that would be huge,” says Howard Telford, an analyst at researcher Euro monitor International.

EXAMPLE TWO Right from her days as a clerical employee in a bank, Sarah had observed that her colleagues, though extremely knowledgeable about the nuances and intricacies of banking, were expending very little effort to improve the efficiency and effectiveness of the bank in the area of customer relations and service. They took on the minimum amount of work, availed themselves of long tea and lunch breaks, and seemed unmotivated in their dealings with the customers and the management. That they were highly knowledgeable about banking policies and practices was clearly evident from their discussions as they processed applications from customers. Sarah herself was very hardworking and enjoyed her work with the customers. She always used to think what a huge waste it was for talented employees to goof off rather than to work hard and enjoy their work. When she left the bank and did the dissertation for her PhD, her topic of investigation was Job Involvement, or the ego investment of people in their jobs. The conclusion of her investigation was that the single most important contributory factor to job involvement is the fit or match between the nature of the job and the personality predispositions of the people engaged in performing it. For example, challenging jobs allowed employees with high capabilities to get job‐involved, and people‐oriented employees got job involved with service activities. Sarah then understood why the highly intelligent bank employees could not get job‐involved or find job satisfaction in the routine jobs that rarely called for the use of their abilities. Subsequently, when Sarah joined the Internal Research Team of a Fortune 500 company, she applied this knowledge to solve problems of motivation, job satisfaction,job involvement, and the like, in the organization