Let us assume that from a population with mean ?=100 and standard deviation ?=15 a sample random variable of ?=900 is selected.
a. What is the probability ?(?̅<101.1)?
b. What is the probability ?(?̅>101.5)?
c. What is the probability ?(99.3<?̅<100.5)?

Would the US be better off provided they stopped importing goods and services from the rest of the world? Why or why not?

A businessman moves from Thailand to pursue a job opportunity in the US. His diet changes from one high in local raw fruits and vegetables to mainly canned and frozen vegetables. The fresh produce he does buy typically ships from overseas and since it doesn't taste good to him, he tends to avoid it. Over the course of his first year, the man experiences worsening fatigue, headaches, depression and gastrointestinal discomfort, despite taking mineral supplements and making sure to stay hydrated. After about a year he meets with a nutritionist who advises him to consume more raw produce from farmer's markets; this intervention does alleviate his symptoms.

Use your knowledge from this course and the information provided to address the following:

a) What specifically about the man's dietary change likely caused his initial symptoms and why was the nutritionist's recommendation effective?

b) Why do you think the nutritionist suggested he get his produce from local farmer's markets rather than a grocery store?

c) If the man were to move somewhere with little access to fruits and vegetables, what else could the nutritionist have suggested that would have been effective and why?

NOTE: For full credit you must apply your knowledge. Just restating the information provided is not sufficient. ie. saying "he changed his diet to eat raw vegetables" is just restating the information - explain, use your knowledge and provide your logic.

In a survey of 1037 adults from the US age 65 and over, 643 were concern about getting flu.

(a) Find a point estimate for the population proportion P of those concerned about getting the flu.

(b) Construct a 95% confidence interval for the population proportion. What does this interval say to you?

(c) Find the minimum sample size needed to estimate the population proportion at the 99% confidence level in order to ensure that the estimate is accurate within 4% of the population proportion.

Suppose any environmental degradation arising from the US consumption of energy was subject to a Pigovian tax (a tax on consumption where the tax paid fully covered the environmental damage). For the purposes of a macroeconomic model, you may assume a Pigovian tax on consumption will reduce consumption, so you can model it as an autonomous decline in consumption. Starting from an initial macroeconomic equilibrium at full employment output, trace out the short run and long run adjustment to this tax. Be sure to include the national income identity with long run effects beneath.

Our bodies produce heat from the work of keeping us alive. This heat is known as the body temperature, which is continuous and approximately normally distributed. The previous standard for a healthy body temperature was 98.6 F. However, the current average body temperature for a healthy human is 98.2 F, with a population standard deviation of 0.75 F

Single Subject

1. What is the probability of selecting a person who has a healthy body temperature (between 97 F and 100 F)?
2. What is the probability of selecting someone who has a body temperature of at least 100 F?
3. Find and interpret

4. Take your body temperature (in degrees Fahrenheit) and state it:

   1. Use your body temperature from above to find your percentile for body temperature.
   2. Interpret the percentile value you found above.

Groups of Subjects

Now, assume that you are creating a sampling distribution of by sampling a group of people.

5. State the expected mean and standard deviation for body temperatures in a group of 5 people.
6. What is the probability of selecting a group of 5 people with an average body temperature below 97 F?
7. What is the probability of selecting a group of 5 people who have a body temperature of at least 98 F?
8. What is the probability of selecting a group of 15 people who have a body temperature of at least 98 F?
9. Describe what happens to the standard deviation of the sampling distribution as group size increases. Include mathematical justification.

please show work, i dont understand how to do this what so ever. tysm

When you order from an online retailer, the data you provide is not protected by US privacy law. Does this fact cause you to reconsider setting up an account with a stored credit card number? What is the advantage of storing the credit card number? Do you think the advantage is worth the risk? Are you more willing to take the risk with some companies than with others? If so, state the criteria you use for choosing to take the risk.