Based on data from the Statistical Abstract of the United States, 112th Edition, only about 20% of senior citizens (65 years old or older) get the flu each year. However, about 32% of the people under 65 years old get the flu each year. In the general population, there are 15% senior citizens (65 years old or older).

(a) What is the probability that a person selected at random from the general population is senior citizen who will get the flu this season? (Use 3 decimal places.)


(b) What is the probability that a person selected at random from the general population is a person under age 65 who will get the flu this year? (Use 3 decimal places.)


(c) Answer parts (a) and (b) for a community that has 87% senior citizens. (Use 3 decimal places.)

(d) Answer parts (a) and (b) for a community that has 48% senior citizens. (Use 3 decimal places.)

What is your favorite color? A large survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most people prefer the color blue. In fact, about 24% of the population claim blue as their favorite color.† Suppose a random sample of n = 60 college students were surveyed and r = 11 of them said that blue is their favorite color. Does this information imply that the color preference of all college students is different (either way) from that of the general population? Use α = 0.05.

(a) What is the level of significance?


State the null and alternate hypotheses.

H₀: p = 0.24; H₁: p > 0.24H₀: p ≠ 0.24; H₁: p = 0.24    H₀: p = 0.24; H₁: p ≠ 0.24H₀: p = 0.24; H₁: p < 0.24

(b) What sampling distribution will you use?

The standard normal, since np > 5 and nq > 5.The Student's t, since np > 5 and nq > 5.    The Student's t, since np < 5 and nq < 5.The standard normal, since np < 5 and nq < 5.

What is the value of the sample test statistic? (Round your answer to two decimal places.)


(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)


Sketch the sampling distribution and show the area corresponding to the P-value.

Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information:

Σx = 15; Σy = 87.7; Σx² = 55; Σy² = 1592.17; Σxy = 276.2

(a) Draw a scatter diagram.

(b) Find the equation of the least-squares line. (Round your answers to two decimal places.)

(c) Find r. Find the coefficient of determination r². (Round your answers to three decimal places.)

Explain what these measures mean in the context of the problem.

The correlation coefficient r measures the strength of the linear relationship between a bighorn sheep's age and the mortality rate. The coefficient of determination r² measures the explained variation in mortality rate by the corresponding variation in age of a bighorn sheep.

The coefficient of determination r measures the strength of the linear relationship between a bighorn sheep's age and the mortality rate. The correlation coefficient r² measures the explained variation in mortality rate by the corresponding variation in age of a bighorn sheep.  

Both the correlation coefficient r and coefficient of determination r² measure the strength of the linear relationship between a bighorn sheep's age and the mortality rate.

The correlation coefficient r² measures the strength of the linear relationship between a bighorn sheep's age and the mortality rate. The coefficient of determination r measures the explained variation in mortality rate by the corresponding variation in age of a bighorn sheep.

(d) Test the claim that the population correlation coefficient is positive at the 1% level of significance. (Round your test statistic to three decimal places.)

t =

Find or estimate the P-value of the test statistic.

P-value > 0.250

0.125 < P-value < 0.250   

0.100 < P-value < 0.125

0.075 < P-value < 0.100

0.050 < P-value < 0.075

0.025 < P-value < 0.050

0.010 < P-value < 0.025

0.005 < P-value < 0.010

0.0005 < P-value < 0.005

P-value < 0.0005

Conclusion

Reject the null hypothesis, there is sufficient evidence that ρ > 0.

Reject the null hypothesis, there is insufficient evidence that ρ > 0.   

Fail to reject the null hypothesis, there is sufficient evidence that ρ > 0.

Fail to reject the null hypothesis, there is insufficient evidence that ρ > 0.

(e) Given the result from part (c), is it practical to find estimates of y for a given x value based on the least-squares line model? Explain.

Given the lack of significance of r, prediction from the least-squares model might be misleading.

Given the significance of r, prediction from the least-squares model is practical.  

Given the significance of r, prediction from the least-squares model might be misleading.

Given the lack of significance of r, prediction from the least-squares model is practical.

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score ?μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.8. Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 495.

In answering the questions, use z‑scores rounded to two decimal places.

(a) If you choose one student at random, what is the probability that the student's score is between 490 and 500? (Enter your answer rounded to four decimal places.)

(b) You sample 36 students. What is the standard deviation of the sampling distribution of their average score x¯ ? (Enter your answer rounded to two decimal places.)

(c) What is the probability that the mean score of your sample is between 490 and 500? (Enter your answer rounded to four decimal places.)

USCo manufactures and markets electrical components. USCo operates outside the United States through a number of CFCs, each of which is organized in a different country. These CFCs derived the following income for the current year:

Determine the amount of income that USCo must report as a deemed dividend under subpart F in each scenario. (Leave no answer blank. Enter zero if applicable. Enter your answers in millions.)

a. F1 has gross income of $14.00 million, including $700,000 of foreign personal holding company interest and $13.30 million of gross income from the sale of inventory that F1 manufactured at a factory located within its home country.

a. amount of income reported?

b.b. F2 has gross income of $8.6 million, including $6.9 million of foreign personal holding company interest and $1.7 million of gross income from the sale of inventory that F2 manufactured at a factory located within its home country.

b. amount of income reported.

Slot machines are the favorite game at casinos throughout the United States (Harrah’s Survey 2002: Profile of the American Gambler). A local casino wants to estimate the difference in the percent of women and me who prefer the slots with a 95% level of confidence. Random samples of 320 women and 250 men found that 256 women prefer slots and 165 men prefer slots.

1-

-Hypothesis test for one population mean (unknown population standard deviation)

2-Confidence interval estimate for one population mean (unknown population standard deviation)

3-Hypothesis test for population mean from paired differences

4-Confidence interval estimate for population mean from paired differences

5-Hypothesis test for difference in population means from two independent samples

6-Confidence interval estimate for difference in population means from two independent samples

7-Hypothesis test for one population proportion

8-Confidence interval estimate for one population proportion

9-Hypothesis test for difference between two population proportions

10-Confidence interval estimate for difference between two population proportions

The National Endowment for the Humanities sponsors summer institutes to improve the skills of high school language teachers. One institute hosted 20 French teachers for four weeks. At the beginning of the period, the teachers took the Modern Language Association's listening test of understanding of spoken French. After four weeks of immersion in French in and out of class, they took the listening test again. (The actual spoken French in the two tests was different, so that simply taking the first test should not improve the score on the second test.) The Director of the summer institute would like to estimate the change (and hopeful improvement) in the teachers' skills after participating in the class.

1-

-Hypothesis test for one population mean (unknown population standard deviation)

2-Confidence interval estimate for one population mean (unknown population standard deviation)

3-Hypothesis test for population mean from paired differences

4-Confidence interval estimate for population mean from paired differences

5-Hypothesis test for difference in population means from two independent samples

6-Confidence interval estimate for difference in population means from two independent samples

7-Hypothesis test for one population proportion

8-Confidence interval estimate for one population proportion

9-Hypothesis test for difference between two population proportions

10-Confidence interval estimate for difference between two population proportions

Researchers aim to study the weights of 10-year-old girls living in the United States (possibly to compare to other countries and thus compare growth rates). Based on previous studies, we can assume that weights of 10-year-old girls are Normal. From a small sample of 16 girls, the researchers find a sample average of ?̅ = 91.4 pounds and a sample standard deviation of ? = 2.8 pounds. Create a 99% confidence interval for the true average weight of 10-year-old girls in the U.S. (and make a formal conclusion based on your calculated interval).

Programming language is Java

In this second assignment, you will calculate currency conversions from United States Dollars (USD) to Indian Rupees (INR) or to Euros (EUR) or to British Pounds (GB) using methods and formatting the results.

Use these ratios: 1 USD to 72.282250 INR 1 USD to 0.913465 EUR 1 USD to 0.833335 GBP

Your task is to write a program that

• displays a menu to choose conversion from dollars to rupees, euros, or pounds.

• displays the exchange rate for the currency chosen

• prompts the user for amount of dollars to convert and displays the result

• prompts the user for amount of currency to convert to dollars and displays the result

• displays a message thanking the user.

• If user chooses a menu selection outside the range, display an error message.

You will use these two EXACT method headers to define methods that will calculate the conversions and return the results:

public static double calcUSDtoCurrency(double amountToConvert, double rate) public static double calcCurrencyToUSD(double amountToConvert, double rate)

Format each currency using the NumberFormat class. You may use the following parameters for the getCurrencyInstance method or you may research to find another way (be sure to document your sources):

Locale.US new Locale(“en”, “IN”) Locale.GERMANY new Locale(“en”, “GB”)

*Note: for those already familiar with Java programming, please keep this simple: no arrays, nothing fancy. Please use only the concepts discussed in class & in Chapters 1, 2, 3, 4, 6, and NumberFormat class.

Before starting this lab, be sure to refer to the “How to Submit Assignments” document in eLearn for proper zipping, documentation, indention, naming conventions, etc. Points may be deducted if submitted incorrectly.

Required project name: LastnameFirstname02 Required package name: chap46

Required class name: ConverterMethods

Here are 4 sample runs of the program. Your program should display something similar. User input is green text.

Currency Converter

1. Convert USD to Indian Rupee

2. Convert USD to Euro

3. Convert USD to British Pounds

What would you like to do? 1

Exchange rate assumed to be 1 US Dollar to 72.28225 Indian Rupees

How many dollars would you like to convert to rupees: 123.45 You will receive Rs.8,923.24 for $123.45

How many rupees would you like to convert to dollars: 1234.56 You will receive Rs.17.08 for $1,234.56

Thank you for using the Currency Converter

Currency Converter

1. Convert USD to Indian Rupee

2. Convert USD to Euro

3. Convert USD to British Pounds

What would you like to do? 2

Exchange rate assumed to be 1 US Dollar to

How many dollars would you like to convert

You will receive 112,77 € for $123.45

0.913465 Euros to euros: 123.45

How many euros would you like to convert to dollars: 1234.56 You will receive $1,351.51 for 1.234,56 €

Thank you for using the Currency Converter

Currency Converter

1. Convert USD to Indian Rupee

2. Convert USD to Euro

3. Convert USD to British Pounds

What would you like to do? 3

Exchange rate assumed to be 1 US Dollar to

How many dollars would you like to convert

You will receive £102.88 for $123.45

0.833335 British Pounds to pounds: 123.45

How many pounds would you like to convert to dollars: 1234.56 You will receive $1,481.47 for £1,234.56

Thank you for using the Currency Converter

Currency Converter

1. Convert USD to Indian Rupee

2. Convert USD to Euro

3. Convert USD to British Pounds

What would you like to do? 4

I'm sorry, 4 isn't a valid choice.

Helpful Notes:

Primitive type variables should begin with lowercase.

Constant variables should be all uppercase (that’s a big hint that you should include constants). To save resources, use the fewest number of variables possible. When getting user input, use just ONE variable named something like userInput or amountToConvert. Likewise, after all calculations, use just ONE variable named something like results or conversion.

If you expect a specific data type from the user, the input should be stored as that data type.

In March 2006, Tesco announced that it would enter the United States convenience store market (Fresh and Easy). This represented a departure from its historic strategy of focusing on developing nations. The American market - Fresh & Easy - turned into a financial disaster ($1.8 bn loss) for Tesco.

Using Tesco as an example, how you think that Michael Porter’s Five Forces helped or hindered Tesco with its overall global strategy?

The Data

The real estate markets, around the United States, have been drastically changing since the housing crisis of 2008. Many experts agree that there has never been a time where the market was so friendly to low interests rates and home prices for prospective buyers. Your task, in this project, is to investigate the housing market in the county that you current reside.

Objective 1 (35 points)

Using the website, www.zillow.com, randomly select 35 homes and record the price of each home. In the space below, clearly define how you randomly selected these homes and provide a table with the home costs you selected.

Answer= I selected these homes in the area code from which I reside within a 25 mile radius. The homes selected were the ones listed as the newest houses on zillow.

Objective 2 (20 points)

• Compute the following:

The average home price for your sample

The standard deviation home price

• Using complete sentences, define the random variable .

• State the estimated distribution to use. Use complete sentences and symbols where appropriate.

Objective 3 (20 points)

Respond to each of the following

• Calculate the 90% confidence interval and the margin of error.

• Interpret this confidence interval.

Objective 4 (25 points)

Using your data set, calculate four additional confidence intervals and margins of error at the levels of confidence given below:

• 50%

• 80%

• 95%

• 99%

What happens to the margin of error as the confidence level increases? Does the width of the confidence interval increase or decrease? Explain why this happens.