BUSI 230 HW 3.3 Measures of Position Assignment solutions complete answers

BUSI 230 HW 3.3 Measures of Position Assignment solutions complete answers 

 

Just put your values given and automatically provide answers for you!

 

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.