BUSI 230 Review Exam 1 Introduction and Descriptive Statistics solutions complete answers

BUSI 230 Review Exam 1 Introduction and Descriptive Statistics solutions complete answers 

 

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A sports columnist contacts a random sample of  owners, a random sample of  players, and a random sample of  fans to ask their opinion about the potential basketball lockout.

 

A representative of the student government association at a certain college stands at the door of the library and asks all students who enter about a new grading policy.

 

Officials at a metropolitan transit authority want to get input from people who use a certain bus route about a possible change in the schedule. They randomly select  buses during a certain week and poll all riders on those buses about the change.

 

A student artist numbers her pieces and selects every  one for a gallery showing.

 

A sports columnist posts an online survey asking viewers to rate their favorite sports players.

 

A reality show assigns all qualified applicants a number and uses a random number generator to select the participant list.

 

Political party affiliations of survey respondents.

 

Genres of Monday night TV shows.

 

Relative humidity levels in operating rooms at local hospitals.

 

The lifetime of a new light bulb.

 

The following bar graph presents the average amount a U.S. family spent, in dollars, on various food categories in a recent year.

On which food category was the most money spent?

True or false: On the average, families spent more on dairy products than on cereals and bakery products.

True or false: On the average, families spent less on cereals and bakery products than on dairy products.

True or false: On the average, families spent more on dairy products than on cereals and bakery products.

 

Popular video games: The following frequency distribution presents the numbers of copies sold for each of the six best-selling video games.

(a) Construct a relative frequency distribution. Round your answers to three decimal places.

(b) Construct a relative frequency bar graph.

(c) True or false: More than 10% of the games sold were Far Cry 5.

 

BMW prices: The following table presents the manufacturer's suggested retail price (in s) for base models and styles of BMW automobiles.

(a) Construct a frequency distribution using a class width of 15, and using 30.0 as the lower class limit for the first class.

(b) Construct a frequency histogram from the frequency distribution in part (a).

(c) Is the histogram unimodal or bimodal?

 

Frequency polygon: The following frequency distribution presents the batting averages of professional baseball players who had  or more plate appearances during a recent season.

(a) Find the midpoints for the classes. Round the answers to three decimal places.

Construct a frequency polygon for the frequency distribution.

 

Ogive: The following frequency distribution presents the batting averages of Major League Baseball players who had 300 or more plate appearances during a recent season.

Construct a frequency ogive for the frequency distribution.

 

How's the weather? The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Farenheit, for the winter months of January and February in a recent year.

Construct a stem-and-leaf plot, using the digits 4, 5, 6, and 7 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button.

 

Find the mean, median, and mode for the following data set.

(a) Find the mean. Round your answer to one decimal place, if necessary.

(b) Find the median. Round your answer to one decimal place, if necessary.

(c) Find the mode(s). If there is more than one, separate them with commas.

 

Find the sample variance and the standard deviation for the following sample. Round the answers to at least two decimal places as needed.

 

Find the population variance and standard deviation for the following population. Round the answers to at least one decimal place.

 

In a survey of voters,  plan to vote for the incumbent.

Of the students enrolled in a certain college,  are full-time.

A researcher asks everyone in a particular barbershop their opinion on world politics.

A news reporter at a family amusement park asks every  person exiting the park about their experience at the park.

A salary committee for a Midwestern college uses a random number generator to select  employees based on their employee number and asks them questions about the proposed benefit package.

A manager at a family amusement park posts a facebook ad asking for feedback on the new rides.

Five placement exam testing locations were selected at random and all students at those locations were asked their opinion about the new calculator guidelines.

A cell phone company wants to draw a sample of  customers to gather opinions about potential new features on upcoming phone models. The company draws a random sample of  from customers with iPhones, a random sample of  from customers with LG phones, a random sample of  from customers with Samsung phones, and a random sample of  from customers with other phones.

The number of students in an English class.

Academic departments at a university.

The stages of childhood are Infant, Toddler, Preschooler, School Age, Preteen, and Teen.

Movies are rated by a critic as thumbs up or thumbs down.

The number of students who visit the library each day.

The number of items purchased in a store.

 

Following is a pie chart that presents the percentages of video games sold in each of four rating categories.

(a) Construct a relative frequency bar graph for the data. Round your answers to two decimal places.

(b) In which rating category are the most games sold?

(b) In which rating category are the least games sold?

(c) True or false: More than twice as many E10-rated games are sold as M-rated games.

(c) True or false: More than twice as many E-rated games are sold as M-rated games.

(c) True or false: More than twice as many E10-rated games are sold as T-rated games.

(c) True or false: More than twice as many E-rated games are sold as T-rated games.

(d) True or false: Fewer than one in five games sold is an E10-rated game.

(d) True or false: Greater than one in five games sold is an M-rated game.

(d) True or false: Greater than one in three games sold is a T-rated game.

 

The following side-by-side bar graph presents the percentages of the sources of funds for food expenditures in the given years.

Which sources of funds for food expenditures increased or decreased as a proportion of the total in the given years?

In , the smallest source of funds for food expenditures was Governments. Is this the smallest source of funds in ?

In , the largest source of funds for food expenditures was Families and individuals. Is this the largest source of funds in ?

 

Hospital admissions: The following frequency distribution presents the five most frequent reasons for hospital admissions in U.S. community hospitals in a recent year.

(a) Construct a relative frequency distribution. Round the answers to two decimal places.

(b) Construct a relative frequency bar graph.

(c) Construct a pie chart.

 

Classify the histogram as skewed to the left, skewed to the right, bell-shaped, or approximately uniform.

 

Geysers: The geyser Old Faithful in Yellowstone National Park alternates periods of eruption, which typically last from 1.5 to 4 minutes, with periods of dormancy, which are considerably longer. The following table presents the durations, in minutes, of 30 dormancy periods that occurred during a recent year.

(a) Construct a frequency distribution using a class width of 7, and using 55 as the lower class limit for the first class.

(b) Construct a frequency histogram from the frequency distribution in part (a).

(c) Is the histogram skewed to the left, to the right, or approximately symmetric?

 

Frequency polygon: The following frequency distribution presents the number of murders (including negligent manslaughter) per  population for each U.S. city with population over  in a recent year.

(a) Find the midpoints for the classes.

(b) Construct a frequency polygon for the frequency distribution.

 

Ogive: The following frequency distribution presents the batting averages of Major League Baseball players who had 300 or more plate appearances during a recent season.

Construct a frequency ogive for the frequency distribution.

 

Pass the popcorn: Following are the running times (in minutes) for the  top-grossing movies rated PG or PG-13, and the  top-grossing movies rated R, for the recent weekend.

(b) Do the running times of R-rated movies differ greatly from the running times of movies rated PG or PG-13, or are they roughly similar?

 

Approximate the mean for the following data set. Round your answer to one decimal place.

 

Stock prices: Following are the closing prices of a particular stock for each trading day in May and June of a recent year.

(a) Find the mean and median price in May. Round the answers to two decimal places.

(b) Find the mean and median price in June. Round the answers to two decimal places.

(c) Does there appear to be a substantial difference in price between May and June, or are the prices about the same?

 

Heavy football players: Following are the weights, in pounds, for samples of offensive and defensive linemen on a professional football team at the beginning of a recent year.

(a) Find the sample standard deviation for the weights for the offensive linemen. Round the answer to at least one decimal place.

(b) Find the sample standard deviation for the weights for the defensive linemen. Round the answer to at least one decimal place.

(c) Is there greater spread in the weights of the offensive or defensive linemen?

 

What's your favorite TV show? The following tables present the numbers of viewers, in millons for the top  prime-time shows for the - and - seasons. The numbers of viewers include those who watched the program on any platform, including time-shifting up to seven days after the original telecast.

(a) Find the population standard deviation of the ratings for -. Round the answer to at least two decimal places.

(b) Find the population standard deviation of the ratings for -. Round the answer to at least two decimal places.

(c) Based on the standard deviations, did the spread in ratings increase or decrease over the two seasons?

 

Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $42.73 with standard deviation $2.68. The weekly amounts are approximately bell-shaped.

(a) Estimate the percentage of amounts that are between $34.69 and $50.77.

(b) Estimate the percentage of amounts that are between $37.37 and $48.09.

(c) Between what two values will approximately 68% of the amounts be?

 

A population has mean 12 and standard deviation 4. Round the answers to two decimal places as needed.

(a) Find the z-score for a population value of 1.

(b) Find the z-score for a population value of 18.

(c) What number has a z-score of 1.3?

 

Blood pressure in women: The three quartiles for systolic blood pressure in a sample of 1213 women between the ages of  were Q1=100, Q2=107, and Q3=115.

Find the upper and lower outlier boundaries.

A systolic blood pressure greater than  is considered high. Would a blood pressure of  be an outlier?

 

The following bar graph presents the average amount a U.S. family spent, in dollars, on various food categories in a recent year.

On which food category was the most money spent?

True or false: On the average, families spent more on dairy products than on cereals and bakery products.

True or false: On the average, families spent less on cereals and bakery products than on dairy products.

True or false: On the average, families spent more on dairy products than on cereals and bakery products.

 

More weather: The following table presents the daily high temperatures for the city of Macon, Georgia, in degrees Fahrenheit, for the winter months of January and February in a recent year.

(a) Construct a dotplot for these data.

(b) Are there any gaps in the data?

 

Arctic ice sheet: The following time-series plot presents the extent of ice coverage (in millions of square kilometers) in the Arctic region in September of each year from  through .

(a) What was the first year that the coverage dropped below 5 million square kilometers?

(b) What was the first year that the coverage dropped below 4 million square kilometers?

 

Find the mean, median, and mode for the following data set. Round your answers to one decimal place, if necessary.

Find the mean and median.

(c) Find the mode(s). If there is more than one, separate them with commas.

 

Officials at a metropolitan transit authority want to get input from people who use a certain bus route about a possible change in the schedule. They randomly select  buses during a certain week and poll all riders on those buses about the change.

 

A sports columnist posts an online survey asking viewers to rate their favorite sports players.

 

Frequency polygon: The following frequency distribution presents the batting averages of professional baseball players who had  or more plate appearances during a recent season.

(a) Find the midpoints for the classes. Round the answers to three decimal places.

Construct a frequency polygon for the frequency distribution.

 

Find the sample variance and the standard deviation for the following sample. Round the answers to at least two decimal places as needed.

 

Find the population variance and standard deviation for the following population. Round the answers to at least one decimal place.