Question 1

Attendance at London Symphony concerts for the past two years showed an average of 3000 people per performance, with a standard deviation of 100 people per performance. Attendance at a randomly selected concert was found to be 3290. If attendance data is mound-shaped, does the attendance at the selected concert appear to be unusual? Justify your conclusion.

Accepted Answer

The answer of Attendance at London Symphony concerts for the...

Question 2

Solution Volumes
An analytical chemist wanted to use electrolysis to determine the number of moles of cupric ions in a given volume of solution. The solution was partitioned into n = 30 portions of 0.2 mL each. Each of the n = 30 portions was tested. The average number of moles of cupric ions for the n = 30 portions was found to be 0.185 mole; the standard deviation was 0.015 mole.
-Refer to the Solution Volumes statement. Describe the distribution of the measurements for the n = 30 portions of the solution using Tchebysheff's Theorem.

Accepted Answer

The answer of Solution Volumes
An analytical chemist wanted to use...

Question 3

Two students are enrolled in different sections of an introductory statistics class at a local university. The first student, enrolled in the morning section, earns a score of 76 on a midterm exam where the class mean was 64 with a standard deviation of 8. The second student, enrolled in the afternoon section, earns a score of 72 on a midterm exam where the class mean was 60 with a standard deviation of 7.5. If the scores on the midterm exams are normally distributed, which student scored better relative to his or her classmates?

Accepted Answer

The answer of Two students are enrolled in different sections...

Question 4

Number of Calories in Soft Drinks
The following data represent the number of calories in 340 mL cans of a sample of 8 popular soft drinks: 124, 144, 147, 146, 148, 154, 150, and 234.
-Refer to the Number of Calories in Soft Drinks statement. Construct a box plot for these data. Does the box plot indicate the presence of any outliers?

Accepted Answer

The answer of Number of Calories in Soft Drinks
The following...

Question 5

Height of Basketball Players
A sample of basketball players has a mean height of 190 cm, with a standard deviation of 12 cm. You know nothing else about the size of the data set or the shape of the data distribution.
-Refer to the Height of Basketball Players statement. What can you say about the fraction of measurements that are less than 166?

Accepted Answer

The answer of Height of Basketball Players
A sample of basketball...

Question 6

If the 90th and 91st observations in a set of 100 data values are 158 and 167, respectively, what is the 90th percentile value?

Accepted Answer

The answer of If the 90th and 91st observations in...

Question 7

Solution Volumes
An analytical chemist wanted to use electrolysis to determine the number of moles of cupric ions in a given volume of solution. The solution was partitioned into n = 30 portions of 0.2 mL each. Each of the n = 30 portions was tested. The average number of moles of cupric ions for the n = 30 portions was found to be 0.185 mole; the standard deviation was 0.015 mole.
-Refer to the Solution Volumes statement. Suppose the chemist had used only n = 5 portions of the solution for the experiment and obtained the readings 0.18, 0.21, 0.20, 0.22, and 0.18. Would the Empirical Rule be suitable for describing the n = 5 measurements? Why?

Accepted Answer

The answer of Solution Volumes
An analytical chemist wanted to use...

Question 8

If the 18th and 19th observations in a set of 25 data values are 42.6 and 43.8, what is the 70th percentile value?

Accepted Answer

The answer of If the 18th and 19th observations in...

Question 9

Solution Volumes
An analytical chemist wanted to use electrolysis to determine the number of moles of cupric ions in a given volume of solution. The solution was partitioned into n = 30 portions of 0.2 mL each. Each of the n = 30 portions was tested. The average number of moles of cupric ions for the n = 30 portions was found to be 0.185 mole; the standard deviation was 0.015 mole.
-Refer to the Solution Volumes statement. Calculate the intervals (  ), (  ), and (  ).

Accepted Answer

The answer of Solution Volumes
An analytical chemist wanted to use...

Question 10

The following data represent the scores for a sample of 10 students on a 20-point chemistry quiz: 16, 14, 2, 8, 12, 12, 9, 10, 15, and 13. Calculate the z-score for the smallest and largest observations. Is either of these observations unusually large or unusually small?

Accepted Answer

The answer of The following data represent the scores for...

Question 11

Number of Calories in Soft Drinks
The following data represent the number of calories in 340 mL cans of a sample of 8 popular soft drinks: 124, 144, 147, 146, 148, 154, 150, and 234.
-Refer to the Number of Calories in Soft Drinks statement. Find the inner fences.

Accepted Answer

The answer of Number of Calories in Soft Drinks
The following...

Question 12

Height of Basketball Players
A sample of basketball players has a mean height of 190 cm, with a standard deviation of 12 cm. You know nothing else about the size of the data set or the shape of the data distribution.
-Refer to the Height of Basketball Players statement. What can you say about the fraction of measurements that fall between 154 and 226 cm?

Accepted Answer

The answer of Height of Basketball Players
A sample of basketball...

Question 13

Consider the following set of measurements: 5.4, 5.9, 3.5, 4.1, 4.6, 2.5, 4.7, 6.0, 5.4, 4.6, 4.9, 4.6, 4.1, 3.4, and 2.2.
a. Find the 25th, 50th, and 75th percentiles.
b. What is the value of the interquartile range?

Accepted Answer

The answer of Consider the following set of measurements: 5.4,...

Question 14

Number of Calories in Soft Drinks
The following data represent the number of calories in 340 mL cans of a sample of 8 popular soft drinks: 124, 144, 147, 146, 148, 154, 150, and 234.
-Refer to the Number of Calories in Soft Drinks statement. Find the outer fences.

Accepted Answer

The answer of Number of Calories in Soft Drinks
The following...

Question 15

Height of Basketball Players
A sample of basketball players has a mean height of 190 cm, with a standard deviation of 12 cm. You know nothing else about the size of the data set or the shape of the data distribution.
-Refer to the Height of Basketball Players statement. What can you say about the fraction of measurements that fall between 166 and 214?

Accepted Answer

The answer of Height of Basketball Players
A sample of basketball...

Quiz 2: Describing Data With Numerical Measures

If the 90th and 91st observations in a set of 100 data values are 158 and 167, respectively, what is the 90th percentile value?

If the 18th and 19th observations in a set of 25 data values are 42.6 and 43.8, what is the 70th percentile value?

The following data represent the scores for a sample of 10 students on a 20-point chemistry quiz: 16, 14, 2, 8, 12, 12, 9, 10, 15, and 13. Calculate the z-score for the smallest and largest observations. Is either of these observations unusually large or unusually small?

Number of Calories in Soft Drinks The following data represent the number of calories in 340 mL cans of a sample of 8 popular soft drinks: 124, 144, 147, 146, 148, 154, 150, and 234. -Refer to the Number of Calories in Soft Drinks statement. Find the inner fences.

Consider the following set of measurements: 5.4, 5.9, 3.5, 4.1, 4.6, 2.5, 4.7, 6.0, 5.4, 4.6, 4.9, 4.6, 4.1, 3.4, and 2.2. a. Find the 25th, 50th, and 75th percentiles. b. What is the value of the interquartile range?

Number of Calories in Soft Drinks The following data represent the number of calories in 340 mL cans of a sample of 8 popular soft drinks: 124, 144, 147, 146, 148, 154, 150, and 234. -Refer to the Number of Calories in Soft Drinks statement. Find the outer fences.