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Mathematics
Top Selling Mathematics Questions
A small ice cream shop has 10 flavors of ice cream and 5 kinds of toppings for its sundaes. How many different selections of one flavor of ice cream and one kind of topping are possible?
In Exercise 23, add data for a child who is 6 years old and has a vocabulary size of 900 words to the data set. Describe how this affects the correlation coefficient r. Data from Exercise 23; The...
A couple is planning their wedding reception. The brides parents have given them a choice of four reception facilities, three caterers, five DJs, and two limo services. If the couple randomly selects...
The parameter/parameters of the Poisson probability distribution is/are a. b. and x c. and e
A nutrition bar manufacturer claims that the standard deviation of the number of grams of carbohydrates in a bar is 1.11 grams. A random sample of 26 bars has a standard deviation of 1.19 grams. At ...
According to a Bureau of Labor Statistics release of March 25, 2015, financial analysts earn an average of $110,510 a year. Suppose that the current annual earnings of all financial analysts have the...
The package of Ecosmart Led 75-watt replacement bulbs that use only 14 watts claims that these bulbs have an average life of 24,966 hours. Assume that the lives of all such bulbs have an approximate...
a. Construct a frequency distribution table for ages of female participants using the classes 2029, 3039, 4049, 5059, and 6069. b. Calculate the relative frequency and percentage for each class. c....
Terry & Sons makes bearings for autos. The production system involves two independent processing machines so that each bearing passes through these two processes. The probability that the first...
Explain the difference between A and a and between B and b for a regression model.
Describe the total variation about a regression line in words and in symbols. Use the figure. (, ). ( 9) y =y
The following data give the 2015 bonuses (in thousands of dollars) of 10 randomly selected Wall Street managers. 127 82 45 99 153 3261 77 108 68 278 a. Calculate the mean and median for these data....
A statistics professor based her final grades on quizzes, in-class group work, homework, a midterm exam, and a final exam. However, not all of the assignments contributed equally to the final grade....
Construct an ordered array, given the following data from a sample of n = 7 midterm exam scores in accounting: 68 94 63 75 71 88 64
A company makes five different models of refrigerators. Last year they sold 16,652 refrigerators of all five models. The following table lists the number of different models of refrigerators sold...
According to a survey, 70% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a...
According to the National Association of Colleges and Employers Spring 2015 Salary Survey, the average starting salary for 2014 college graduates was $48,127. Suppose that the mean starting salary of...
According to the American Time Use Survey results released by the Bureau of Labor Statistics on June 24, 2015, Americans age 15 and over watched television for an average of 168 minutes per day....
According to a Pew Research survey conducted in February 2014, 24% of American adults said they trust the government in Washington, D.C., always or most of the time. Suppose that this result is true...
A particular brand of womens jeans is available in seven different sizes, three different colors, and three different styles. How many different womens jeans does the store manager need to order to...
The file Property Taxes contains the property taxes on a $176K home for the 50 states and the District of Columbia. Decide whether the data appear to be approximately normally distributed by a....
Is it true in Example 8.1 on page 280 that you do not know for sure whether the population mean is between 366.33 and 372.21 grams? Explain.
A Pew Research Center survey of 4,787 adults found that 4,178 had bought something online. Of these online shoppers, 789 are weekly online shoppers. a. Construct a 95% confidence interval estimate of...
If a light bulb manufacturing company wants to estimate, with 95% confidence, the mean life of light emitting diode (LED) light bulbs to within 400 hours and also assumes that the population standard...
If you use a 0.01 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting H 0 : = 12.5 if you use the Z test?
In Problems 9.18, 9.19, and 9.20, what is your statistical decision if the alternative hypothesis, H 1 , is 50? In Problems 9.19 In Problem 9.18, how many degrees of freedom does the t test have?...
A marketing researcher wants to estimate the mean amount spent per year ($) on Amazon.com by Amazon Prime member shoppers. Suppose a random sample of 100 Amazon Prime member shoppers who recently...
In a one-tail hypothesis test where you reject H 0 only in the lower tail, what is the p-value if Z STAT = -1.38?
Using the scatter plot of the registered nurse salary data shown below, what type of correlation, if any, do you think the data have? Explain. Use the table, which shows the years of experience of 14...
What is meant by the power of a test?
How can a confidence interval estimate for the population mean provide conclusions for the corresponding two-tail hypothesis test for the population mean?
The file Bulbs contains the life (in hours) of a sample of forty 6-watt light emitting diode (LED) light bulbs produced by Manufacturer A and a sample of forty 6-watt light emitting diode (LED) light...
How do you interpret a coefficient of determination, r 2 , equal to 0.80?
If SSR = 66 and SST = 88, compute the coefficient of determination, r 2 , and interpret its meaning.
Movie companies need to predict the gross receipts of individual movies once a movie has debuted. The following results, stored in PotterMovies , are the first weekend gross, the U.S. gross, and the...
What are the assumptions of regression analysis?
How can you evaluate whether the slope of the dependent variable with an independent variable is the same for each level of the dummy variable?
What was the average price of a room at two-star, threestar, and four-star hotels around the world during 2016? The file Hotel Prices contains the average hotel room prices in Canadian dollars (about...
What is the difference between supervised and unsupervised analytics methods?
Data collected for financial planning: weekly sales (in $), week (week number of the year), sales predicted by last years plan (in $), difference between predicted sales and realized sales (in $)....
Have you wondered how Internet connection speed varies around the globe? The file ConnectionSpeed contains the mean connection speed, the mean peak connection speed, the % of the time the speed is...
A linear regression of the price of external hard drives against their capacity in terabytes had a correlation coefficient of 0.994. What is the value of R 2 for this regression and how do you...
In 42 of the 66 years from 1950 through 2016 (in 2011 there was virtually no change), the S&P 500 finished higher after the first five days of trading. In 37 out of 42 years, the S&P 500 finished...
According to a report by App Annie, a business intelligence company that produces tools and reports for the apps and digital goods industry, smartphone owners are using an average of 30 apps per...
Recently, two students made worldwide headlines by spinning a Belgian euro 250 times and getting 140 headsthats 56%. That makes the 90% confidence interval (51%, 61%). Can we draw any conclusions...
The stock market in Canada reported strong returns in 2016. The population of stocks earned a mean return of 17.5% in 2016. Source: Data extracted from The Wall Street Journal, December 31,...
A company hopes to improve customer satisfaction, setting as a goal no more than 5% negative comments. A random survey of 350 customers found only 10 with complaints. a) Create a 95% confidence...
One of the major measures of the quality of service provided by any organization is the speed with which it responds to customer complaints. A large family-held department store selling furniture and...
Actuation Consulting conducted a global survey of product teams with the goal of better understanding the dynamics of product team performance and uncovering the practices that make these teams...
IAB conducted a study of 821 U.S. adults to understand the behavioral shift of consumers TV viewing experience. The study found that 460 of U.S. adults own streaming enabled TVs, including smart TVs...
The manufacturer of Boston and Vermont asphalt shingles provides its customers with a 20-year warranty on most of its products. To determine whether a shingle will last through the warranty period,...
The potholes on a major highway in the city of Madison occur at the rate of 3.4 per mile. The random variable X is the number of potholes in 10 miles of randomly selected highway.
In a study of births in New York State, data were collected from four hospitals coded as follows: (1) Albany Medical Center; (1438) Bellevue Hospital Center; (66) Olean General Hospital; (413) Strong...
The Society for Human Resource Management (SHRM) collaborated with Globoforce on a series of organizational surveys with the goal of identifying challenges that HR leaders face and what strategies...
Are the birth weights described in Exercise 3 quantitative data or categorical data?
PwC takes a closer look at what CEOs are looking for and are finding as new sources of value in their businesses and industries. Based on a 2017 Global CEO survey, CEOs are categorized by the main...
In a Kelton Research poll, 1114 Americans 18 years of age or older were called after their telephone numbers were randomly generated by a computer, and 36% of the respondents said that they believe...
Heights of adult males are normally distributed. If a large sample of heights of adult males is randomly selected and the heights are illustrated in a histogram, what is the shape of that histogram?
In Problem 13.6 on page 494, a prospective MBA student wanted to predict starting salary upon graduation, based on program per-year tuition. The data are stored in FTMBA. Is an MBA a golden ticket?...
You want to develop a model to predict the asking price of homes based on their size. A sample of 61 single-family houses listed for sale in Silver Spring, Maryland, a suburb of Washington, DC, is...
A histogram is to be constructed from the measured breaking points (in pounds) of tested car seatbelts. Identify two key features of a histogram of those values that would suggest that the data have...
The production of wine is a multibillion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, data were collected from red and white wine variants of...
Who discovered penicillin: Sean Penn, William Penn, Penn Jillette, Alexander Fleming, or Louis Pasteur? If you make a random guess for the answer to that question, what is the probability that your...
Use the table of random numbers (Table E.1) to simulate the selection of different-colored balls from an urn, as follows: a. Start in the row corresponding to the day of the month in which you were...
Use subjective probability to estimate the probability of randomly selecting a car and getting one that is black.
A nonprofit analyst seeks to determine which variables should be used to predict nonprofit charitable commitment, a nonprofit organization commitment to its charitable purpose. Two independent...
Referring to the bookstore data table of Exercise 2, a) For each variable, would you describe it as primarily categorical or quantitative? If quantitative, what are the units? If categorical, is it...
A major factor influencing the rate of growth of a countrys economy is the availability of credit for investment purposes. Domestic credit is the amount of credit given out by the Bank of Canada to...
An online survey of students in a large MBA Statistics class in Toronto asked them to report their total personal investment in the stock market ($), the total number of different stocks currently...
There are 80 questions from an SAT test, and they are all multiple choice with possible answers of a, b, c, d, e. For each question, only one answer is correct. Find the mean and standard deviation...
In a certain hospital, knee surgeries are performed by either Dr. Almasri or Dr. Casio. Last years number of surgeries performed and number that were successful are given in the following tables for...
In order to get to campus, a student has to walk to the bus stop and then take a bus to the university. She monitors how much time this journey takes for 55 days. The time taken in minutes for each...
Draw a time series plot of the percentage of the Ontario population aged 65 years and older from 1956 to 2006. Describe the trends that emerge. The table below gives the percentage of the Ontario and...
A researcher collects a simple random sample of grade-point averages of statistics students, and she calculates the mean of this sample. Under what conditions can that sample mean be treated as a...
Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size n = 15, are randomly collected and the sample means are found. Is it correct to...
If bone density scores in the bottom 2% and the top 2% are used as cutoff points for levels that are too low or too high, find the two readings that are cutoff values. Assume that a randomly selected...
When solar panels rated at 250 watts of power are manufactured, the power of a given panel is not exactly 250 watts, but there is a 0.5 probability that it is less than 250 watts and a 0.5...
Results from a January 2008 telephone survey conducted by Gallup showed that 57% of urban Colombian adults support a free trade agreement (FTA) with the United States. Gallup used a cluster sample in...
Using the data in Exercise 2, test the hypothesis that the mean numbers of page views from the two websites are the same. You may assume that the number of page views from each website follows a...
Alternative sources of energy are of increasing interest throughout the energy industry. Wind energy has great potential, but appropriate sites must be found for the turbines. To select the site for...
Given the accompanying data, use Excels function options to find MAD, the sample variance, and the sample standard deviation.
Given the accompanying data, use Excels function options to find the sample covariance and the sample correlation coefficient.
On St. Patricks Day, men spend an average of $43.87 while women spend an average of $29.54 (USA TODAY, March 17, 2009). Assume the standard deviations of spending for men and women are $2.50 and...
Suppose you want to know the ages of moviegoers who attend the latest X-Men movie. What kind of sample is it if you (a) Survey the first 20 persons to emerge from the theater, (b) Survey every 10th...
Standard deviation rate of return is a measure of risk in the stock market. An investment manager claims that the standard deviation rate of return for his portfolio is less than the general market,...
The probability that a 2011 Audi A8 will be stolen is .0048. Find the odds against the theft of a 2011 Audi A8. Round your answer to the nearest whole number.
The probability that an international flight leaving the United States is delayed in departing (event D) is .25. The probability that an international flight leaving the United States is a...
The number of internet users in Latin America grew from 77.2 million in 2009 to 139.1 million in 2016. Use the geometric mean to find the annual growth rate.
If 3 drivers are randomly selected without replacement, find the probability that none of them were killed. Use the data in the accompanying table and express all results in decimal form. (The data...
More than 30 percent of the results from major search engines for the keyword phrase ring tone are fake pages created by spammers.
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of = 27.0 mpg and a standard deviation...
Nielsen tracks the amount of time that people spend consuming media content across different platforms (digital, audio, television) in the United States. Nielsen has found that traditional television...
The creator of a new online multiplayer survival game has been tracking the monthly downloads of the newest game. The following table shows the monthly downloads (in thousands) for each month of the...
Suppose that the mean retail price per gallon of regular grade gasoline in the United States is $3.43 with a standard deviation of $.10 and that the retail price per gallon has a bell-shaped...
The file StockComparison contains monthly adjusted stock prices for technology company Apple, Inc., and consumer-goods company Procter & Gamble (P&G) from 20132018. a. Develop a scatter diagram with...
A recent study revealed that 40% of women in the St. Johns area who work full-time also volunteer in the community. Suppose we randomly select eight women in the St. Johns area. a. What is the...
Compute the mean and variance of the following discrete probability distribution: x ................P(x) 2 ................0.5 8 ................0.3 10 .............0.2
The following box plot shows the number of daily newspapers published. Summarize the findings. Be sure to include information on the values of the first and third quartiles, the median, and whether...
Listed below are the commuting distances, in kilometres, of students attending college for their first year: a.?What is the arithmetic mean distance travelled?b.?What is the median distance...
In May 2018, The College Board reported the following mean scores for two parts of the Scholastic Aptitude Test (SAT): Evidence-Based Reading and Writing.......533 Mathematics...............527...
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