BUSI 230 HW 3.1, HW 3.2, HW 3.3 Connect Exercises Week 2 solutions complete answers

BUSI 230 HW 3.1, HW 3.2, HW 3.3 Connect Exercises Week 2 solutions complete answers

 

HW 3.1 Measures of Center Assignment 

 

Select the appropriate word or phrase to complete each sentence.

The  is calculated by summing all data values and dividing by how many there are.

 

The  is a number that splits the data set in half.

 

The  is resistant because it is not affected much by extreme values.

 

The  is the value in the data set that appears most frequently.

 

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 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.

 

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

The mean is approximately       .

 

The number of calories in a sample of hamburgers from six fast food restaurants is

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

The mean number of calories is       .

(b) Find the median number of calories.

The median number of calories is       .

 

Great swimmer: In the  Olympic Games, Michael Phelps won eight gold medals in swimming. Following are some of the events he won, along with his margin of victory, in seconds.

(a) Find the mean margin of victory. Round the answer to three decimal places.

The mean margin of victory is        seconds.

(b) Find the median margin of victory.

The median margin of victory is        seconds.

 

Don't drink and drive: A highway safety council reported that there were  fatalities among drivers in auto accidents in a particular year. Following is a frequency distribution of their ages. Approximate the mean age. Round your answer to one decimal place.

The mean is approximately       .

 

Read any good books lately? The following data represent the responses of  library patrons when asked about their favorite type of book. Which type of book is the mode?

The mode of this data set is       .

 

Big companies: Following are revenues for a selection of companies in a recent year.

(a)Find the mean and median revenue. Round to  decimal places where necessary.

The mean revenue is  billion and the median revenue is  billion.

(b)Walmart has the largest revenue. If Walmart is excluded from the list, which measure of center would be more affected?

If Walmart is excluded from the list, the measure of center that would be more affected is the

 

Liberty University BUSI 230 HW 3.2 Measures of Spread Assignment complete solutions answers and more!

 

Select the appropriate word or phrase to complete each sentence.

If all values in a data set are the same, then the sample variance is equal to .

 

The standard deviation is the square root of the .

 

For a bell-shaped data set, approximately  of the data will be in the interval  to .

 

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

 

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

(a) If a population has variance 16, then the population standard deviation is .

(b) If a population has standard deviation 10, then the population variance is .

(a) If a sample has variance 81, then the sample standard deviation is .

(b) If a sample has standard deviation 4, then the sample variance is .

 

Sports car or convertible? The following table presents the fuel efficiency, in miles per gallon, for a sample of convertibles and a sample of sports cars.

(a) Find the sample standard deviation of the mileage for the sample of convertibles. Round the answer to at least one decimal place.

The sample standard deviation of the mileage for the sample of convertibles is       .

(b) Find the sample standard deviation of the mileage for the sample of sports cars. Round the answer to at least one decimal place.

The sample standard deviation of the mileage for the sample of sports car is        .

(c) Which sample has greater spread?

The spread of the convertibles is  the spread of the sports cars.

 

House prices: The following table presents prices, in thousands of dollars, of single-family homes for some of the largest metropolitan areas in the United States for March of  and March of .

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

In , the population standard deviation, in thousands of dollars, was .

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

In , the population standard deviation, in thousands of dollars, was .

(c) Housing prices increased in most areas from  to . Did the spread in house prices increase as well, or did it decrease?

The spread in housing prices  from  to .

 

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?

 

Pay your bills: In a large sample of customer accounts, a utility company determined that the average number of days between when a bill was sent out and when the payment was made is 26 with a standard deviation of 7 days. Assume the data to be approximately bell-shaped.

(a) Between what two values will approximately 95% of the numbers of days be?

Approximately 95% of the customer accounts have payment made between        and         days.

(b) Estimate the percentage of customer accounts for which the number of days is between  and .

 

Liberty University BUSI 230 HW 3.3 Measures of Position Assignment complete solutions answers and more!

 

Select the appropriate word or phrase to complete the sentence.

divide the data set approximately into quarters.

The median is the same as the  quartile.

The quantity  is known as the .

A value that is considerably larger or smaller than most of the values in a data set is called .

 

A population has mean 22 and standard deviation 6. Round the answers to two decimal places as needed.

(a) Find the z-score for a population value of 2.

The z-score for a population value of  is       .

(b) Find the z-score for a population value of 31.

The z-score for a population value of  is       .

(c) What number has a z-score of -1.7?

 

For the data set

(a) Find the first and third quartiles.

(b) Find the IQR.

(c) Find the upper and lower outlier boundaries.

(d) List the outliers. If there is more than one outlier, separate them by a comma.

 

Standardized tests: In a particular year, the mean score on the ACT test was 21.4 and the standard deviation was 2.8. The mean score on the SAT mathematics test was 522 and the standard deviation was 118. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places.

(a) Find the z-score for an ACT score of 22.

The z-score for an ACT score of  is       .

(b) Find the z-score for a SAT score of 520.

The z-score for an SAT score of  is       .

(c) Which score is higher, relative to its population of scores?

Relative to its population of scores, the  score is higher.

(d) Jose's ACT score had a z-score of 0.87. What was his ACT score?

Jose's ACT score was      .

(e) Emma's SAT score had a z-score of -1.3. What was her SAT score?

Emma's SAT score was       .

 

A fish story: The mean length of one-year-old spotted flounder, in millimeters, is 130 with standard deviation of 16, and the mean length of two-year-old spotted flounder is 167 with a standard deviation of 27. The distribution of flounder lengths is approximately bell-shaped.

(a) Anna caught a one-year-old flounder that was 150 millimeters in length. What is the z-score for this length? Round the answers to at least two decimal places.

(b) Luis caught a two-year-old flounder that was 190 millimeters in length. What is the z-score for this length? Round the answers to at least two decimal places.

(c) Whose fish is longer, relative to fish the same age?

Relative to fish the same age,  fish is longer.

(d) Joe caught a one-year-old flounder whose length had a z-score of 1.2. How long was this fish? Round the answer to at least one decimal place.

(e) Terry caught a two-year-old flounder whose length had a z-score of -0.6. How long was this fish? Round the answer to at least one decimal place.

 

Blood pressure in men: The three quartiles for systolic blood pressure in a sample of 3165 men were Q1=118, Q2=129, and Q3=139.

Find the upper and lower outlier boundaries.

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

 

Caffeine: Following are the number of grams of carbohydrates in 12-ounce espresso beverages offered at a coffee shop.

Find the first quartile of these data. Use the QUARTILE function to compute the value.

Find the third quartile of these data. Use the QUARTILE function to compute the value.

Find the median of these data.

 

Caffeine: Following are the number of grams of carbohydrates in 12-ounce espresso beverages offered at a coffee shop. Construct a boxplot for these data. The first quartile is 24, median is 30, and third quartile is 33.

(a) Construct a boxplot for the given data (including outliers if any).

(b)Describe the shape of this distribution.

 

Caffeine: Following are the number of grams of carbohydrates in 12-ounce espresso beverages offered at a coffee shop.

(a) What is the 21st percentile?

(b) What is the 79th percentile?

(c) There are 32 grams of carbohydrates in an Iced Dark Cherry Mocha. What percentile is this?

 

Nuclear power: The following table presents the number of nuclear reactors as of August , , in some countries that had one or more reactors.

(a) Find the first and third quartiles of these data. Use the QUARTILE function to compute the values.

(b) Find out the median of these data.

(c) Find the upper and lower outlier boundaries.

(d) Which countries are outliers?

 

Nuclear power: The following table presents the number of nuclear reactors in a recent year, in each country that had one or more reactors.

 

Nuclear power: The following table presents the number of nuclear reactors as of August , , in some countries that had one or more reactors.

(a) What is the 45th percentile?

(a) What is the 88th percentile?

 

Nuclear power: The following table presents the number of nuclear reactors as of August , , in some countries that had one or more reactors.

China has 18 nuclear reactors. What percentile is this? Round the answer to the nearest whole number.

 

Who scored the highest? On a final exam in a large class, Levi's score was the eleventh percentile, Asher's was the median, and Wyatt's was the seventy first percentile. Of the three scores,  was the highest.

 

Who scored the lowest? On a final exam in a large class, Michael's score was the thirty fifth percentile, Liam's was the median, and Lincoln's was the eighty fifth percentile. Of the three scores,  was the lowest.