Arthur: “George, come into my office for a few minutes. You know that the company brass want to increase the amount of automation in some of our factories. I just got word that this plant will be the first to be automated.”

George: “But the cost and accounting analyses we sent to headquarters last fall showed that it wouldn’t be profitable to make changes like that in this plant. Why did they pick this one?” Arthur: “Apparently, top management wants to try robots and all the high-tech gadgets at one factory, to see if they increase product quality and pay for themselves. They think that in the long run, stockholders will benefit from automation. Anyway, the decision has been made, and it’s our job to make it work. We’re going to have to sell the work force and the community on the decision.”

George: “That won’t be easy. Hundreds of people are going to lose their jobs. There isn’t much else that they can do around here, either.”

Arthur: “Some of the factory people will be able to stay on, if they get some additional training. We can convince the workers and the people in town that the decision was necessary, if we can show them accounting and cost information to justify the decision. If they see good, sound reasoning for the action, they’ll be less likely to resist and cause trouble. We need for them to maintain productivity and efficiency until the new equipment is here. I want you to work on a cost summary we can release to the employees and the town newspaper, showing why automation is a good idea.”

George: “But the net present value and other analyses I did earlier showed this plant should stay the way it is.”

Arthur. “When we were working on the analyses, you said yourself that the benefits of automation are hard to identify and assign numbers to. You had to make several assumptions in order to do those analyses. If you change some of your assumptions, you can make the numbers look better. Try a longer useful life for the new equipment, or change some of the projected cost information. As soon as you have the new numbers, bring them to me to look at.”

Do you agree with the decision of case participants and their opinions? Comment it and make your own recommendations

1. There are actually 6 different high schools in the Duchene Count School District. Overall, 82% of students from the school district passed the test in 2010. The percent from each school that passed is given below. Conduct a test to determine if there is a difference in the percent that passed from any of the 6 high schools. Assume the scores from 2010 can be considered a simple random sample and to make it easier, you can also assume 200 students from each school took the test.

• Evaluate the policy for completeness and clarity versus ambiguity according to the USDA elements discussed at Local School Wellness Policy Process - Child Nutrition Sharing Site (theicn.org):

• ○ Nutrition education

• ○ Nutrition promotion

• ○ Physical activity

• ○ All foods available on the school campus/property

• ○ Other school-based activities

• ○ Identify 3 areas for improvement/clarification in the policy and provide specific recommendations. If the policy is considered strong, and weaknesses are not observed, students should instead identify 3 areas of strength and provide rationale.

• ○ Consider the usefulness and practicality of the school wellness policy that was evaluated. Does the policy meet the intentions of the legislation requiring school wellness policies? Why or why not?

Are these bionomial? If not, explain why.

A.)Approx 5% of a school district's 1000 seniors have no siblings. A random sample of 300 seniors is taken from that district, and X counts the number with no siblings.

B.) Approx 5% of high school seniors have no siblings. A random sample of 200 high school seniors is taken and X counts the number with no siblings.

C.) Approx 5% of high school seniors have no siblings, 29% have one, 27% have two and the remaining 39% have three or more. A random sample of 100 high school seniors is taken and the random variable X counts the number of siblings for each of the sampled seniors.

A group of researchers is interested in middle school students and their willingness to appear to stand out. A random sample of 260 middle school students is gathered, and the researchers ask them to wear bright orange shoes to school for a day. In the sample of 260 students, 192 were willing to wear the bright orange shoes. Estimate the overall proportion of middle school students that would be willing to wear bright orange shoes to school for the day. Use a 95% confidence level.

a) State the parameter of interest.  

b) Find the critical value and standard error. Critical Value: Standard Error:

c. c) Find the confidence interval: ( , )

d.d) Interpret the 95% confidence interval in context.

In a study of 1910 schoolchildren in Australia, 1050 children indicated that they normally watch TV before school in the morning. (Interestingly, only 35% of the parents said their children watched TV before school!)

(a)

Construct a 95% confidence interval for the true proportion of Australian children who say they watch TV before school. (Round your answers to three decimal places.)

(_____,________)
What assumption about the sample must be true for the method used to construct the interval to be valid?(b)

The 1910 schoolchildren used in the study formed a random sample from the population of children in Australia who normally watch TV before school in the morning.

The 1050 children who indicated that they normally watch TV before school in the morning formed a random sample from the population of schoolchildren in Australia.    

The 1910 schoolchildren used in the study formed a random sample from the population of schoolchildren in Australia.

The 1050 children who indicated that they normally watch TV before school in the morning formed a random sample from the population of children in Australia who normally watch TV before school in the morning.

Suppose a politician proposes that we make college education free for all students. What impact would this proposal have on the level of human capital and the rate of growth in the country?

Several societies around the world make it very difficult for women and girls to become educated. What impact would this have on economic growth in these countries?

Suppose that the government decides to cut spending on research and development. What impact would this have on future economic growth?

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is 0.5. Assume that the groups consist of 31 couples. Complete parts​ (a) through​ (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 31 births. The value of the mean is mu

The accompanying data table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children.

x   P(x)
0   0.001
1   0.018
2   0.036
3   0.116
4   0.196
5   0.246
6   0.195
7   0.114
8   0.038
9   0.017
10   0.023

Find the maximum and minimum usual value.