The Rose Williams Company has a C/M ratio of 36%. Breakeven sales are Rs. 160,000. The company earned a profit of Rs. 28,800 during the year.

Required:                                       

(a)   Fixed expense.           (b)   Variable expense for the year
(b)   Sales for year            (d)   Margin of safety ratio.

Describe as detailed as possible how an individual mount an immune response to infectious bacteria, explaining all the steps from the bacteria break the outer barriers to the individual obtains a long-lasting immunity.

Memorial Hospital calculated certain performance measures from their 2017 financial statements listed below.

The same performance measures for 2016 are listed for comparison.

Please indicate if the increase or decrease from 2016 to 2017 in these performance measures is beneficial to the organization or not and explain why.

This questions is asking for the increase or decrease of each individual performance measure to be analyzed (positive or negative contribution to the organization) and explained.

It is NOT asking for an overall analysis of the numbers. Please list if the performance measure increasing or decreasing is good or bad for the organization and why

Direct mail advertisers send solicitations​ ("junk mail") to thousands of potential customers in the hope that some will buy the​ company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it to 1160 people randomly selected from their mailing list of over​ 200,000 people. They get orders from 140 of the recipients. Use this information to complete parts a through d.

​a) Create a 90​% confidence interval for the percentage of people the company contacts who may buy something.

(___%, ___%)

​(Round to one decimal place as​ needed.)

​b) Explain what this interval means.

A. The values for the interval bounds should be subtracted from 90​% to obtain the​ company's true confidence level.

B. The company is 90​% confident that the percentage of people who will respond to the flyer falls within the confidence interval bounds.

C. The company is 90​% confident that the probability a randomly sampled person will respond to the flyer falls within the confidence interval bounds.

D.The company is 90​% confident that the percentage of people who will not respond to the flyer falls within the confidence interval bounds.

​c) Explain what "90​% ​confidence" means.

A. About 90​% of all randomly sampled people will respond to the new flyer.

B. About 90​% of all random samples will produce intervals that contain the true proportion of people who will respond to the new flyer.

C. About 90​% of all random samples of size 1160 will produce intervals that contain the true proportion of people who will respond to the new flyer.

D. About 90​% of all random samples of size 1160 will produce intervals that do not contain the true proportion of people who will respond to the new flyer.

​d) The company must decide whether to do a mass mailing. The mailing​ won't be​ cost-effective unless it produces at least a 4​% return. What does your confidence interval​ suggest?

A. Do the mass mailing.

B. Do not do the mass mailing.

The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Total scores on the GMAT are normally distributed. The Graduate Management Admission Council, who administers the test, claims that the mean total score is 580.   Suppose a random sample of 8 students took the test, and their scores are given below.

A. Use α = .05 to test the claim that the mean total score is different from 580. Show all six steps.

B. Use the data above and α = .05 to test the claim that the mean total score is higher than 580. Show all six steps. Do you draw the same or a different conclusion? Why?

C. The Wendy’s in Sylva claims that the mean waiting time in the drive through line is less than 3.5 minutes at lunchtime on weekdays. A random sample of 30 customers has a mean of 3.4 minutes with a sample standard deviation of 1.2 minutes. If α = 0.05, test the restaurant’s claim.

D. Think about questions A and C. We’re using a sample to test the claim of an organization. Would the organization (the GMAT firm and/or the Wendy’s in Sylva) need to test a sample to find the average score or time? Why or why not?

Variable Costing Income Statement and Contribution Margin Analysis for a Service Company

The actual and planned data for Underwater University for the Fall term were as follows:

Registration, records, and marketing costs vary by the number of enrolled students, while instructional costs vary by the number of credit hours. Depreciation is a fixed cost.

a. Prepare a variable costing income statement showing the contribution margin and income from operations for the Fall term.

b. Prepare a contribution margin analysis report comparing planned with actual performance for the Fall term. If an amount is zero, enter "0".

Here are the height and shoe-size information from our class survey at the beginning of the quarter.

I converted all our measurements so they were in the same units.   Use technology to analyze these data as in Chapters 6,7, and 8. Use height as your explanatory variable and shoe size as your response variable.

1. Describe your scatterplot (you don’t have to turn in your actual plot). (Form, direction, strength, outliers?)
2. Write the equation of the regression line for predicting shoe size from height.
3. Write the correlation.
4. Write a sentence or two commenting on the appropriateness of the linear model.
5. Use your answer from b. to predict the shoe size of a person who is 61 inches tall.
6. I am 61 inches tall, and my shoe size is US Womens 7. What is my residual?

1. In a 2015 report, Johnson discussed the relationship between mean annual temperature and the mortality rate for a type of prostate cancer in men. The subjects were residents of certain regions of Great Britain, Norway, and Finland. Run a correlation between these two variables. You will need the printout to answer a few questions.  

The Data:

Mortality Temperature

102.5    51.3

104.5    49.9

100.4    50

95.9    49.2

87       48.5

95      47.8

88.6    47.3

89.2     45.1

78.9    46.3

84.6    42.1

81.7    44.2

72.2    43.5

65.1    42.3

68.1    40.2

67.3    31.8

52.5    34

What is the Pearson Correlation Coefficient? 3 pts.

Is it significant? 3 pts

Is it a strong correlation? 2 pt.

1. In a 2015 report, Johnson discussed the relationship between mean annual temperature and the mortality rate for a type of prostate cancer in men. The subjects were residents of certain regions of Great Britain, Norway, and Finland. Run a correlation between these two variables. You will need the printout to answer a few questions.  

The Data:

Mortality Temperature

102.5    51.3

104.5    49.9

100.4    50

95.9    49.2

87       48.5

95      47.8

88.6    47.3

89.2     45.1

78.9    46.3

84.6    42.1

81.7    44.2

72.2    43.5

65.1    42.3

68.1    40.2

67.3    31.8

52.5    34

What is the Pearson Correlation Coefficient? 3 pts.

Is it significant? 3 pts

Is it a strong correlation? 2 pt.

The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $18 and $32 per share.

What is the probability that the stock price will be:

a. More than $29 (Round your answer to 4 decimal places.)

Probability____________

b. Less than or equal to $23? (Round your answer to 4 decimal places.)

Probability____________

b1

The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 30 million with a standard deviation of 10 million.

What is the probability next week's show will:

a. Have between 34 and 43 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal places.)

Probability____________

b. Have at least 26 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal places.)

Probability____________

c. Exceed 56 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal places.)

Probability____________

c1.

For the most recent year available, the mean annual cost to attend a private university in the United States was $20,132. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,450.

Ninety percent of all students at private universities pay less than what amount? (Round your z value to 2 decimal places and final answer to the nearest whole dollar.)

amount ___________

d1.

Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $4,230 per hour and a standard deviation of $379.

What is the operating cost for the lowest 4% of the airplanes? (Round your z value to 2 decimal places and final answer to the nearest whole dollar.)

Operating Cost________________

d2. The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal probability distribution. The mean yearly amount earned is $40,000 and the standard deviation is $5,000.

What percent of the sales representatives earn more than $42,000 per year? (Round z-score computation and final answer to 2 decimal places.)

Percent____________

What percent of the sales representatives earn between $32,000 and $42,000? (Round z-score computation and final answer to 2 decimal places.)

percent_____________________

What percent of the sales representatives earn between $32,000 and $35,000? (Round z-score computation and final answer to 2 decimal places.)

The sales manager wants to award the sales representatives who earn the largest commissions a bonus of $1,000. He can award a bonus to 20% of the representatives. What is the cutoff point between those who earn a bonus and those who do not? (Round your answer to the nearest dollar amount.)

Cutoff point_____________________