A poll conducted by GfK Roper Public Affairs and Corporate Communications asked a sample of 1001 adults in the United States, "As a child, did you ever believe in Santa Claus, or not?" Of those surveyed, 84% said they had believed as a child. Consider the sample as an SRS. We want to estimate the proportion p of all adults in the United States who would answer that they had believed to the question "As a child, did you ever believe in Santa Claus, or not?" (a) Find a 90% confidence interval (± ± 0.0001) for p p based on this sample. The 90% confidence interval is from to (b) Find the margin of error (± ± 0.0001) for 90%. The margin of error is (c) Suppose we had an SRS of just 150 adults in the United States. What would be the confidence interval (± ± ) for 95% confidence? The 50% confidence interval is from to (d) How does decreasing the sample size change the confidence interval when the confidence level remains the same? Decreasing the sample size creates a less wide interval Decreasing the sample size creates a wider interval

According to a recent Current Population Reports, the population distribution of number of years of education for self-employed individuals in the United States has a mean of 14 and a standard deviation of 3.3. (a) Identify the variable. number of self-employed individuals number of educated individuals in the United States number of self-employed individuals in the United States number of years of education (b) Find the mean and standard deviation of the sampling distribution of for a random sample of size 95. Mean = (1 decimal place) Standard Deviation = (3 decimal places) (c) Find the mean and standard deviation of the sampling distribution of for a random sample of size 424. Mean = (1 decimal place) Standard Deviation = (3 decimal places) (d) Describe the effect of increasing n. The mean increases. The mean stays the same. The mean decreases. The standard deviation of the sampling distribution increases. The standard deviation of the sampling distribution stays the same. The standard deviation of the sampling distribution decreases. (e) If a sample of size 424 is selected from this population, what is the probability that the sample average will be less than 14.2? probability = (3 decimal places)

Wool Rugs​,​Inc., is considering three possible countries for the sole manufacturing site of its newest area​ rug: Italy​, France, and the United States. All area rugs are to be sold to retail outlets in the United States for $280 per unit. These retail outlets add their own markup when selling to final customers. Fixed costs and variable cost per unit​ (area rug) differ in the three countries

Requirement 1

Compute the breakeven point for Wool Rugs Inc, in each country in (a) units sold and (b) revenues

Requirement 2

If Wool Rugs Inc plans to produce and sell 70,000 rugs in 2014, what is the budgeted operating income for each of the three manufacturing locations? comment on the results

Please solve the following problems:

1.Home has 1,200 units of labor available. It can produce two goods, apples and bananas. The unit labor requirement in apple production is 3, while in banana production it is 2.There is now also another country, Foreign, with a labor force of 800. Foreign’s unit labor requirement in apple production is 5, while in banana production it is 1.Construct the world relative supply curve in terms of bananas.

2.Suppose that instead of 1,200 units of labor, Home has 2,400. How does this change the previous results? What if Home becomes half as productive (6 for apples and 4 for bananas)?

3.Japanese labor productivity is roughly the same as that of the United States in the manufacturing sector (higher in some industries, lower in others), while the United States is still considerably more productive in the service sector. But most services are not traded. Some analysts have argued that this poses a problem for the United States, because our comparative advantage lies in things we cannot sell on world markets. What is wrong with this argument?

Seventy percent of all individuals living in the United States have a smart phone. Suppose you select a random sample of 11 individuals who live in the United States. Define X to be a binomial random variable representing whether or not an individual living in the United States has a smart phone.

What is the probability that no more than five of the sampled individuals have a smart phone? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 3 decimal places, using conventional rounding rules)

What is the probability that at least 7, but less than 11, of the sampled individuals have a smart phone? ANSWER:  (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 3 decimal places, using conventional rounding rules)

On average, how many of the eleven sampled individuals would you expect to have a smart phone? ANSWER: (Report your answer to 3 decimal places, using conventional rounding rules)

Grades on a standardized test are known to have a mean of 940 for students in the United States. The test is administered to 436 randomly selected students in​ Florida; in this​ sample, the mean is 952.22 and the standard deviation ​(s​) is 101.52.

a) The​ 95% confidence interval for the average test score for Florida students is ​( 942.67​, 961.77​). ​(Round your responses to two decimal places.​)

b) Is there statistically significant evidence that Florida students perform differently than other students in the United​ States?

The​ 95% confidence interval for the average test score for Florida students does not include mu ​= 940​, so the null hypothesis that mu ​= 940 ​(that Florida students have the same average performance as other students in the United​ States) can be rejected at the​ 5% level.

c) Another 486 students are selected at random from Florida. They are given a​ 3-hour preparation course before the test is administered. Their average test score is 957.86 with a standard deviation of 89.30. The​ 95% confidence interval for the change in average test score associated with the prep course is ​( nothing​, nothing​). ​(Round your responses to two decimal places.​)

The following hypothetical production possibilities tables are for China and the United States. Assume that before specialization and trade the optimal product mix for China is alternative D and for the United States is alternative S.

Instructions: Enter your answers as whole numbers.

a. Are comparative-cost conditions such that the two countries should specialize?

      (Click to select)  Yes  No

     If so, what product should each produce?  

     China should produce  (Click to select)  apparel  chemicals  .

     The United States should produce  (Click to select)  apparel  chemicals  .

b. What is the total gain in apparel and chemical output that would result from such specialization?

    Apparel:

    Chemicals:

Use the production possibilities tables to answer the following questions.

1. If Germany and the United States engage in trade, the mutually beneficial terms of trade will be between _____ and _____ units of chemicals for _____ unit of autos.
2. Assume that prior to specialization and trade Germany and the United States both produced combination C. Now if each nation specializes, according to its comparative advantage, what will be the resulting gains from specialization and trade? ____________
3. Suppose that each nation specializes in producing the product for which it has a comparative advantage, and the terms of trade are set at 3 units of chemicals for 1 unit of autos. In this case, Germany could obtain and consume a maximum combination of _________ units of autos and __________ units of chemicals.

A poll conducted by GfK Roper Public Affairs and Corporate Communications asked a sample of 1007 adults in the United States, "As a child, did you ever believe in Santa Claus, or not?" Of those surveyed, 84% said they had believed as a child. Consider the sample as an SRS. We want to estimate the proportion p of all adults in the United States who would answer that they had believed to the question "As a child, did you ever believe in Santa Claus, or not?"

(a) Find a 90% confidence interval (±±0.0001) for p based on this sample.

The 90% confidence interval is from __ to ___

b) Find the margin of error (±±0.0001) for 90%.

The margin error is ___

(c) Suppose we had an SRS of just 100 adults in the United States.

What would be the confidence interval (±±) for 95% confidence?

The 50 % confidence interval (+) is from __ to __

(d) How does decreasing the sample size change the confidence interval when the confidence level remains the same?

a. Decreasing the sample size creates a wider interval

b.Decreasing the sample size creates a less wide interval.

discuss how the united states government has provided good, bad, or indifferent customer service to its customers i.e. individuals, businesses, states, etc. you may focus on a particular chapter in the book or take a more general approach. support your argument with facts, situations, customer service principles