Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters, describing the average characteristics of a wine in each cluster, are listed in the following table. Jay has...

According to a study by Nielsen Mobile, Teenagers ages 13 to 17 are by far the most prolific texters, sending 1742 messages a month. Mr. Williams, a high school statistics teacher, was skeptical...

Mr. Shrager does not always let his statistics class out on time. In fact, he seems to end class according to his own internal clock. The density curve models the distribution of the amount of time...

In 2016, taxicabs in Los Angeles charged an initial fee of $2.85 plus $2.70 per mile. In equation form, Fare Fare = 2.85 + 2.7(miles). At the end of a month, a businessman collects all his taxicab...

How much storage space does your music use? Here is a dotplot of the file sizes (to the nearest tenth of a megabyte) for 18 randomly selected files on Nathaniels mp3 player: a. The distribution of...

A 2018 Pew Research Center survey found that more Americans believe they could give up their televisions than could give up their cell phones (Pew Research website). Assume that the following table...

The math department at a small school has 5 teachers. The ages of these teachers are 23, 34, 37, 42, and 58. Suppose you select a random sample of 4 teachers and calculate the sample minimum age....

According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day (Entrepreneur magazine website). Assume...

A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the players claim is true?...

Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do...

Refer to the North Valley Real Estate data, which report information on homes sold during the last year. a. The mean selling price (in $ thousands) of the homes was computed earlier to be $357.0,...

A news network reported the results of a survey about a controversial court decision. The network initially posted on its website a bar graph of the data similar to the one that follows. Explain how...

Consumer Reports evaluates products for consumers. The file CompactSUV contains the data shown in Table 1.8 for 15 compact sports utility vehicles (SUVs) from the 2018 model line (Consumer Reports...

Do most teens recycle? To find out, an AP Statistics class asked an SRS of 100 students at their school whether they regularly recycle. In the sample, 55 students said that they recycle. Is this...

According to the 2016 Consumer Expenditure Survey, Americans spend an average of $1124 on cellular phone service annually (U.S. Bureau of Labor Statistics website). Suppose that we wish to determine...

Refer to Exercise 91. Here are a boxplot and some numerical summaries of the electoral vote data: a. Explain why the median and IQR would be a better choice for summarizing the center and variability...

The stemplot shows the number of home runs hit by each of the 30 Major League Baseball teams in a single season. Home run totals above what value should be considered outliers? a. 173 b. 210 c. 222...

List all 10 possible SRSs of size n = 3, calculate the median quiz score for each sample, and display the sampling distribution of the sample median on a dotplot. The small population of 5 students...

According to Money magazine, Maryland had the highest median annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a...

Which of the following boxplots best matches the distribution shown in the histogram? 4 10 12 Data 2 8 10 12 2. 4 8 10 12 (a) Data (d) Data 2 4 6 8 10 12 4 6 10 12 (b) Data (e) Data 0 2 6 8 10 12 (C)...

Here is a dotplot of the amount of fat (to the nearest gram) in 12 different hamburgers served at a fast-food restaurant: a. The distribution of fat content has a mean of x =22.83 grams and a...

In a large business hotel, 40% of guests read the Los Angeles Times. Only 25% read the Wall Street Journal. Five percent of guests read both papers. Suppose we select a hotel guest at random and...

According to a 2017 Wired magazine article, 40% of emails that are received are tracked using software that can tell the email sender when, where, and on what type of device the email was opened...

If Jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times? a. (0.25) 5 b. (0.75) 4 c. (0.75) 5 d. (0.75) 4 (0.25) e. A fast-food restaurant...

Do external rewardsthings like money, praise, fame, and grades promote creativity? Researcher Teresa Amabile suspected that the answer is no, and that internal motivation enhances creativity. To find...

Each of the two tanks contains 200 gal of water, in which initially 100 lb (Tank T 1 ) and 200 lb (Tank T 2 ) of fertilizer are dissolved. The inflow, circulation, and outflow are shown in Fig. 88....

A clothing supplier sells T-shirts to retailers for $7 each. If a store agrees to buy more than 30, the supplier is willing to reduce the unit price by 3 cents for each shirt bought above 30, with a...

The tank in Fig. 28 contains 80 lb of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20 gal/min of the uniform mixture. Find...

Haley, Jeff, and Nathan measured the height (in inches) and vertical jump (in inches) of 74 students at their school. Here is a scatterplot of the data, along with the least squares regression line....

The following table summarizes 204 endothermic reactions involving sodium bicarbonate. Let A denote the event that a reactions final temperature is 271 K or less. Let B denote the event that the heat...

In 2016 the Better Business Bureau settled 80% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received...

A survey of 1,520 American adults asked Do you feel overloaded with too much information? The results indicate that 23% of females feel information overload compared to 17% of males. The results are:...

Mrs. Hanrahans precalculus class collected data on the length (in centimeters) of a pendulum and the time (in seconds) the pendulum took to complete one back-andforth swing (called its period). The...

Amanda Boleyn, an entrepreneur who recently sold her start-up for a multi-million-dollar sum, is looking for alternate investments for her newfound fortune. She is considering an investment in wine,...

A Gallup Poll utilizing a random sample of 1,503 adults ages 18 or older was conducted in April 2018. The survey indicated a majority of Americans (53%) say driverless cars will be common in the next...

The length of a guest lecturers talk represents the third quartile for talks in a guest lecture series. Make an observation about the length of the talk.

How well do professional golfers putt from various distances to the hole? The scatterplot shows various distances to the hole (in feet) and the percent of putts made at each distance for a sample of...

Code Churn is a common metric used to measure the efficiency and productivity of software engineers and computer programmers. It?s usually measured as the percentage of a programmer?s code that must...

Professional tennis player Novak Djokovic hits the ball extremely hard. His first-serve speeds follow an approximately Normal distribution with mean 115 miles per hour (mph) and standard deviation 6...

Refer to Exercise 4. Alejandro, who sent 92 texts, has a standardized score of z=1.89 . a. Interpret this z-score. b. The standard deviation of the distribution of number of text messages sent over...

Match the histograms in the next column to the summary statistics given. Standard Deviation Mean Median 53 1.8 53 60 60 11 53 53 III 10 53 53 IV 22 20 - 10 10 32 42 52 62 72 82 48 50 52 54 56 (a)...

The dotplot shows the difference (Highway City) in EPA mileage ratings, in miles per gallon (mpg) for each of 24 model year 2018 cars. a. Explain what the dot above 3 represents. b. What does the...

greater? Why? 29. Income Tax Return Preparation Fees. The CPA Practice Advisor reports that the mean preparation fee for 2017 federal income tax returns was $273. Use this price as the population...

TextRequest reports that adults 1824 years old send and receive 128 texts every day. Suppose we take a sample of 2534-year-olds to see if their mean number of daily texts differs from the mean for...

In 2018, Mike Krzyewski and John Calipari topped the list of highest-paid college basketball coaches (Sports Illustrated website,...

Consumer Reports magazine collected data on the usable capacity (in cubic feet) of a sample of 36 side-byside refrigerators. Here are the data: A histogram of the data and summary statistics are...

A shipping company claims that 90% of its shipments arrive on time. Suppose this claim is true. If we take a random sample of 20 shipments made by the company, whats the probability that at least 1...

According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is $32.48. A New Englandbased lifestyle magazine wants to determine if...

Suppose a group of school-aged children is asked, Which of these three ice cream flavors do you like the most: vanilla, chocolate, or strawberry? Describe a bar graph of their responses that would...

If a body slides on a surface, it experiences friction F (a force against the direction of motion). Experiments show that |F| = |N| (Coulomb's law of kinetic friction without lubrication), where N is...

If three different orders are selected, find the probability that they are all from Wendys. Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains...

A random sample of 415 children from England and the United States who completed a survey in a recent year was selected. Each students country of origin was recorded along with which superpower they...

An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is programmed to go on at a randomly selected time after the subject...

The makers of Skittles claim that 20% of Skittles candies are orange. Suppose this claim is true. You select a random sample of 30 Skittles from a large bag. Let p = the proportion of orange Skittles...

According to the National Beer Wholesalers Association, U.S. consumers 21 years and older consumed 26.9 gallons of beer and cider per person during 2017. A distributor in Milwaukee believes that beer...

The histogram shows the distribution of lengths of words used in Shakespeares plays. a. Find the median word length in Shakespeares plays from the histogram. Explain your method clearly. b. Calculate...

The cumulative relative frequency graph shows the distribution of the percent of foreign-born residents in the 50 states. a. Estimate the interquartile range (IQR) of this distribution. Show your...

Interns report that when deciding on where to work, career growth, salary and compensation, location and commute, and company culture and values are important factors to them. According to reports by...

According to the IRS, taxpayers calling the IRS in 2017 waited 13 minutes on average for an IRS telephone assister to answer. Do callers who use the IRS help line early in the day have a shorter...

Harris Interactive reported that 29% of all U.S. adults favor abolishing the penny. Assuming that responses from different individuals are independent, what is the probability of randomly selecting 3...

A high school basketball team is selling $10 raffle tickets as part of a fund-raising program. The first prize is a trip to the Bahamas valued at $5460, and the second prize is a weekend ski package...

The compressive strength of concrete is being tested by a civil engineer who tests 12 specimens and obtains the following data: (a) Check the assumption that compressive strength is normally...

Leggere, an internet book retailer, is interested in better understanding the purchase decisions of its customers. For a set of 2,000 customer transactions, it has categorized the individual book...

Researchers followed a random sample of 2315 middle-aged men from eastern Finland for up to 30 years. They recorded how often each man went to a sauna and whether or not he suffered sudden cardiac...

Is it possible to use temperature to predict wind speed? Here is a scatterplot showing the average temperature (in degrees Fahrenheit) and average wind speed (in miles per hour) for 365 consecutive...

New Years Resolutions In a survey of 2241 U.S. adults in a recent year, 1322 say they have made a New Years resolution. Construct 90% and 95% confidence intervals for the population proportion....

Consider a domino with six dots as shown. Two ways of connecting the three dots on the left with the three dots on the right are illustrated. Using three lines, in how many ways can the three dots on...

How long it takes paint to dry can have an impact on the production capacity of a business. In May 2018, Deals Auto Body & Paint in Prescott, Arizona, invested in a paint-drying robot to speed up its...

In Exercise 43, we summarized the relationship between x = height of a student (in inches) and y = number of steps required to walk the length of a school hallway, with the regression line y = 113.6 ...

The New York Times reported that Apple has unveiled a new iPad marketed specifically to school districts for use by students (The New York Times website). The 9.7-inch iPads will have faster...

The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y 275 -...

A firm orders 12, 30 and 25 items of goods G1, G2 and G3. The cost of each item of G1, G2 and G3 is $8, $30 and $15, respectively. (a) Write down suitable price and quantity vectors, and use matrix...

A rower wants to row her kayak across a channel that is 1400 ft wide and land at a point 800 ft upstream from her starting point. She can row (in still water) at 7 ft/s and the current in the channel...

Find an expression for the profit function given the demand function 2Q + P = 25 and the average cost function AC = 32/Q + 5 Find the values of Q for which the firm (a) breaks even; (b) makes a loss...

A single force with x-component F x acts on a 2.0 kg object as it moves along the x-axis. The objects acceleration graph (a x versus t) is shown in Figure P5.30. Draw a graph of F x versus t. a,...

Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for the different salespeople in the organization for the most recent fiscal year.? a. Compute...

Refer to Exercise 10. Here are summary statistics for the state median household incomes: a. Find and interpret the z-score for North Carolina, with a median household income of $41,553. b. New...

The following data represent the length of life,in seconds, of 50 fruit flies subject to a new spray in a controlled laboratory experiment: Construct a box-and-whisker plot and comment on the nature...

The parallel dotplots show the total family income of randomly chosen individuals from Indiana (38 individuals) and New Jersey (44 individuals). Compare the distributions of total family incomes in...

Two oceanfront homes are located 8 miles apart on a straight stretch of beach, each a distance of 1 mile from a paved road that parallels the ocean. See the figure. Sally can jog 8 miles per hour...

Marilyn Marshall, a Professor of sports economics, has obtained a data set of home attendance for each of the 30 major league baseball franchises for each season from 2010 through 2016. Dr. Marshall...

The dimensions of a rectangular storage tank are length 16 m, width 12 m, and height 12 m. If the tank is filled with water, determine (a) The volume of water in the tank in cubic meters. (b) The...

The parallel dotplots show the total family income of randomly chosen individuals from Indiana (38 individuals) and New Jersey (44 individuals). Means and standard deviations are given below the...

A person wishes to save a regular amount at the beginning of each month in order to buy a car in 18 months time. An account offers a return of 4.8% compounded monthly. Work out the monthly savings if...

In New York State, the mean salary for high school teachers in 2017 was $81,410 with a standard deviation of $9,500. Only Alaskas mean salary was higher! Assume New Yorks state salaries follow a...

Kara is opening up a new daycare business in her home. She needs $6500 to purchase toys and a backyard playset. Kara makes a 10% down payment and finances the balance with a 48-month fixed...

a. Construct a frequency distribution table for blood glucose levels of male participants using the classes 7589, 90104, 105119, 120134, and 135149. b. Calculate the relative frequency and percentage...

Find the distance from A to C across the gorge illustrated in the figure. 35 C- 100 ft

According to a 2018 survey by Bankrate.com, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that 15 adults in the United States are selected randomly. a. Is the...

List all 6 possible SRSs of size n = 2, calculate the proportion of red cars in the sample, and display the sampling distribution of the sample proportion on a dotplot. Is the sample proportion an...

A box contains three cards. On one card there is a sun, on another card there is a question mark, and on the third card there is an apple. Two cards are to be selected at random without replacement....

A TV costs $900 including 20% sales tax. Find the new price if tax is reduced to 15%.

Match the polar equations with the graphs labeled IIX. Give reasons for your choices. (a) r = cos 3 (b) r = ln , 1 6 (c) r = cos(/2) (d) r = cos(/3) (e) r = sec(/3) (f) r = sec (g) r = 2 , 0 8...

Over the years, the percentage of births that are planned caesarean sections has been rising. Because doctors can schedule these deliveries, there might be more children born during the week and...

In 2011 there were 232.2 million cell phone subscribers in the United States. By 2017 the number of subscribers increased to 265.9 million. What is the geometric mean annual percent increase for the...

Two men stand 10 m apart on level ground near the edge of a cliff. One man drops a stone and one second later the other man drops a stone. One second after that, how fast is the distance between the...

According to a 2018 article in Esquire magazine, approximately 70% of males over age 70 will develop cancerous cells in their prostate. Prostate cancer is second only to skin cancer as the most...

In 2015, Addison Group (a provider of professional staffing services) and Kelton (a global insights firm) surveyed the work preferences and attitudes of 1,006 working adults spread over three...

The following table shows an example of gross domestic product values for five countries over six years in equivalent U.S. dollars ($). a. How could you improve the readability of this table? b. The...

Professional tennis player Novak Djokovic hits the ball extremely hard. His first-serve speeds can be modeled by a Normal distribution with mean 112 miles per hour (mph) and standard deviation 5 mph....