1. Confidence Intervals

a. Isabella wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 44 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 13.6 and a standard deviation of 1.4. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? Assume the data is from a normally distributed population. Round answers to 3 decimal places where possible.

_ < u < _

b.

The body temperatures in degrees Fahrenheit of a sample of adults in one small town are:

Assume body temperatures of adults are normally distributed. Based on this data, find the 95% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population.

95% C.I. =

c. Assume that a sample is used to estimate a population mean μμ. Find the 90% confidence interval for a sample of size 68 with a mean of 63.1 and a standard deviation of 13.1. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places.

90% C.I. =

d. In a survey, 22 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $39.1 and standard deviation of $2.3. Estimate how much a typical parent would spend on their child's birthday gift (use a 90% confidence level). Give your answers to 3 decimal places.

Express your answer in the format of ¯x ±  E.
$_ ±  $_

Ahmad Wazir is 34 years old, married with a three-year-old child and another on the way. He lives in a town of about 100,000 people outside Kuala Lumpur, Malaysia. After graduating with a BBA in marketing and later with an MBA in Islamic Finance, he joined one of the biggest Takaful operators, Takaful Ehsan (TE) where he built a sizeable business marketing in general and family Takaful products. But with changes in the organization and having no control over client services made him realize that his prospects for growth at TE is limited. With some savings accumulated over the years to carry him through, Wazir left his position as a senior marketing manager to become an independent Takaful advisor. Instead of targeting everyone, Wazir realized that he needed to focus on specific client segments. Hence, he decided to put his limited resources behind the most viable prospects. Many of his clients acquired during his former job had been close families in his town. Several of them had been regulars at the local mosque as well as members of the community and sports club. Wazir is of the view that one of the best approaches to screen the prospects is to conduct a geo-demographic segmentation of his own as part of the targeting and segmenting process. i) What is geo-demographic segmentation and how is it different from psychographic segmentation? ii) In conducting the geo-demographic segmentation, what are among the actions that Wazir may take in order to ensure that the prospects will fit into his target segment? iii) Why do you think that Wazir has chosen this approach?

Imagine you, a Certified Health Education Specialist (CHES) has been hired as the program director of a new after school program called "Get Healthy". "Get Healthy" is focused on educating the importance of increasing physical activity among elementary children as well as educating the importance of consuming a healthy diet. You are required to develop the program's mission statement, program goals, and program objectives before the program begins.

1) Provide 1 program mission statement for the"Get Healthy" program

2) Provide 3 program goals for the "Get Healthy" program or Get Healthy program participants. Identify an activity that meets each goal. Explain how the selected item relates to the goal.

3) Provide 3 program objectives for "Get Healthy" or Get Healthy program participants ( they can consist of behavioral, process, outcome, summative objectives but they must be written SMART format ( Specific, Measurable, Achievable, Realistic, Time).  Please review how to write SMART objectives before completing this assignment.

The SPARTA organization runs a year round charter elementary school in St. Louis, MO. This organization believes that children need to be tough physically and mentally. To get tough physically the children exercise outdoors (in minimum clothing) everyday as long as it is physically possible (the children need to go inside before they become adversely effected by the environment, but not a moment too soon). The weather in St. Louis ranges from 95^o F with 95% humidity in the summer to 20^o F 55% humidity in the winter. SPARTA needs to hire a new overseer of their physical program. They need to choose between two excellently conditioned individuals, Jeremy 35 yr male 6'1", 190 lbs, 10% fat; or Maude 62 yr female, 5'3", 115 lbs, 17% fat. Both individuals claim to have extensive experience with work outdoors in all types of weather, and say their experience enables them to be able to “feel” when it is time to go in. Who should SPARTA hire, and why

Mr. Razak is a successful entrepreneur who owns a construction firm. He intends to apply a government tender for constructing a new city council’s office. Recently, he went to a bank and coincidently met his ex-school mate, Mr. Amirul, who is a senior accountant at the city council office. Last Monday, they went out for a breakfast and during the meeting, Mr. Razak obtained some confidential information about the government tender from Mr. Amirul. The information is very useful for Mr. Razak in submitting his application for the government tender. REQUIRED: (a) Discuss TWO (2) ethical behaviors that might have been violated by Mr. Amirul as a senior accountant at a city council. (b) Suggest TWO (2) precautions or safety measures that Mr. Amirul should take in order to avoid such unethical behaviors discussed in (a). (c) Provide TWO (2) examples of managerial activities or decision makings that would be taken by Mr. Amirul as a senior accountant at a city council.

1. (1) Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 75 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 75 tons and standard deviation σ = 0.8 ton.

   (a) What is the probability that one car chosen at random will have less than 74.5 tons of coal?

   (b) What is the probability that 20 cars chosen at random will have a mean load weight of less than 74.5 tons of coal?

2. (2) Suppose we are interested in finding a 95% confidence interval for the mean SAT Verbal score of students at a certain high school. Five students are sampled, and their SAT Verbal scores are

   560, 500, 470, 660, 640.
   (a) Find the mean and standard deviation of this sample. You may use R.

   (b) Find a 95% confidence interval for the mean SAT Verbal scores.

Read “Big New Obstacle for Economic Recovery – Child Care Crisis” on Sakai and answer the following questions:

1. How has lack of child care/school for kids K-12 and younger affected economic recovery? How is child care connected to what businesses can open and who can work (men versus women, people with children versus people with no children, high income versus low income, for example)?

2. The reason why some schools have not opened (or only opened a few days a week, or in a hybrid manner) is that the United States (and a lot of the world) is still in the midst of the coronavirus. Last week, almost 80 percent of the states had rising cases. Locally, a couple of schools had to quarantine many students because of positive cases and SUNY Cortland just went online only for 2 weeks because they had more than 100 positives in a two-week period. How do you balance economic concerns and health concerns during a pandemic?

A study conducted by three law school professors found that asylum seekers in the United States face broad disparities in the nation’s immigration courts. The professors discovered that 54% of refugees who ask for asylum in the San Francisco immigration court win asylum, but only 12% are granted asylum in the Atlanta immigration court. [Source: Julia Preston, “Wide Disparities Found in Judging of Asylum Cases,” The New York Times, May 31, 2007.]

You randomly select 30 refugees who are asking for asylum in the Atlanta immigration court. Let X denote the number of asylum seekers who win their cases.

The probability that exactly two asylum seekers are granted asylum is 1) .0735 / .1747 / .0844 / .1593  .

The probability that at least five asylum seekers are granted asylum is 2) .2882 / .0827 / .1734 / .1431 .

The expected value of X is 3) 16.2 / 3.6 / 7.5 / 4.8   , and the standard deviation of X is 4) 2.3717 / 2.7298 / 1.7799 / 2.0080 / 3.168

A school newspaper reporter decides to randomly survey 20 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 23% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.

• In words, define the Random Variable X.

• Part (b)

  List the values that X may take on.

  X = 0, 1, 2, ..., 23 X = 1, 2, 3, ..., 20  X = 1, 2, 3, ..., 23 X = 0, 1, 2, ..., 20

• Part (c)

  Give the distribution of X.
  X ~  

• Part (d)

  How many of the 20 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
  student(s)

• Part (e)

  Find the probability that at most 6 students will attend. (Round your answer to four decimal places.)

• Part (f)

  Find the probability that more than 4 students will attend. (Round your answer to four decimal places

Please answer (b) questions 1 and 2

Joyful Journeys Music School provides private music lessons for elementary students. Its operating costs are as follows:

Rent on facilities         $2,200 per month

                        Advertising                    $274 per month

                        Instrument Rent             $750 per month

                        Teaching Instruction      $40 per student

                        Books                               $5 per student

                        Other Costs                      $3 per student

Joyful Journeys charges $100 per student per month.

(a)        Determine the company’s break-even point in (1) number of students taught per month and (2) dollars.

(b)        Joyful Journeys has just received notice that the rent on their facilities will be increasing by $500 per month and the instrument rent will also be increasing $20 per month.

(1) Determine the company’s break-even point in the number of students taught per month based on the new information.  

(2) Determine the amount to charge per student if Joyful Journeys does not increase the number of students taught.