Problem 1. Jakob Nielsen, a website consultant, recently conducted an eye-tracking survey to determine whether people ignore purely decorative images when viewing web pages. An aspect of the study compared a set of products on Pottery Barn's furniture website and a page of televisions on Amazon.com. The study found that consumers tended to ignore the televisions on Amazon.com because they were generic, making the product image less inviting. When consumers viewed Pottery Barn's website, they were more inclined to view the photos of the bookcases for longer periods of time because they were images of the actual products for sale.

(a) Identify the population of interest.

(b) What characteristic of the population is being measured?

(c) Is the purpose of the data collection to perform descriptive or inferential statistics?

Problem 2. Determine the level of measurement (nominal, ordinal, interval, or ratio) for each of the following variables. (a) The temperature of patients (b) Client satisfaction survey responses: Poor, Average, Good, and Excellent (c) The region of the U.S. in which an individual lives: North, South, East, or West (d) The number of people with a Type A personality

Problem 3. Identify the following variables as discrete or continuous (a) The number of doctors who wash their hands between patient visits (b) The amount of liquid consumed by the average American each day (c) The weight of a new born baby at a local hospital (d) The number of voters who favor a particular candidate

Problem 4. The following table show each salesperson's sales performance. Salesperson Susan William Beth Rob Total Sales (Thousands of USD) 187 201 207 193 (a) Draw a bar chart using MS Excel. (b) Draw a pie chart using MS Excel. HW#1 2

Problem 5. Please refer "CO2 emissions (metric tons per capita) in 2011" data in "HW#1_Data" (MS Excel). Suppose that the smallest possible change of emissions is 0.01 metric tons. In addition, we assume that the class width is five and the lower class limit of the first class is zero. (a) Generate a frequency table and a histogram using MS Excel. (b) What is the lower class boundary for the third class? (c) What is the upper class boundary for the fourth class? (d) Is the distribution shape symmetric, uniform, skewed to the left, or skewed to the right?

Problem 6. Please refer "CO2 emissions (metric tons per capita) in 2011" data in "HW#1_Data" (MS Excel). (a) Find the mean and median. (b) Suppose the data includes all countries in the world. Find the range, variance, and standard deviation.

Problem 7. Please refer two data sets in "HW#1_Data" (MS Excel): "CO2 emissions (metric tons per capita) in 2011" and "GDP per Capita (in USD) in 2011". (a) Draw a scatterplot. (b) Find the correlation coefficient between CO2 emissions per capita and GDP per capita.

Problem 8. Thirty elementary school teachers are randomly selected and asked if they favor standardized testing of elementary school children. Twenty of those surveyed said that they did favor the standardized test. If an elementary school teacher is randomly selected, estimate the probability that the teacher will favor the test.

Problem 9. Mandy is 30, and the probability that she will survive until age 65 is 0.90. Ashley is 45, and the probability that she will survive until age 65 is 0.95. Suppose the survivals of Many and Ashley are independent. (a) Find the probability that both Mandy and Ashley will survive until age 65. (b) Find the probability that only Mandy will survive until age 65. (c) Find the probability that neither Mandy nor Ashley will survive until age 65.

Problem 10. The blue plate lunch at a local cafeteria consists of an entre, a side item, and a dessert. If there are 6 choices for an entre, 5 choices for a side item, and 4 choices for a dessert, how many different lunches are available?

Problem 11. A DJ needs to select 6 songs from a CD containing 12 songs to compose an event's musical lineup. How many different lineups are possible? Suppose that order is not important.

Problem 12. Find the expected value, the variance, and the standard deviation for a random variable with the following probability distribution. x P(x) -5 0.06 -2 0.15 0 0.58 2 0.18 5 0.03 [Skip]

Problem 13. A certain aspirin is advertised as being preferred by 4 out of 5 doctors. Suppose the advertisement is true, and doctors are independent with each other. (a) What are the mean and the standard deviation that ten randomly chosen doctors prefer the aspirin? (b) What is the probability that at least half of ten doctors chosen at random will prefer this brand of aspirin? (c) What is the probability that 9 out of 10 of the doctors will prefer this brand?

Problem 14. The weight of a certain product is believed to have a normal distribution with an average weight of 7.25 kg and a standard deviation of 1 kg. Under the assumption that a product is randomly selected, please provide MS Excel functions to answer the following questions. (a) Find the probability that the weight will be more than 8 kg. (b) Find the probability that the weight will be less than 6 kg. (c) Find the probability that the weight will be between 6.5 kg and 8.5 kg. (d) Find the weight that lowest 10% of the weights