What is the difference between a sample and a population? Give one real-world example for a sample and one real-world example for a population.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

All questions are required and have equal weight.

1. (a) What is the difference between a sample and a population? Give one real-world example for a sample and one real-world example for a population.

(b) What is the Central Limit Theorem? Why is it important in statistical data analysis? How is the rule of thumb used for the application of the Central Limit Theorem?

(c) What is coefficient of correlation? What values can it take? What is the interpretation of these values?

(d) What do you understand from the terms: mutually exclusive events and collectively exhaustive events? Give examples to clarify the differences in these two terms.

2. Given the following set of data from a sample of size n = 7,

7   7   5   8   4   5   6

(a) Compute the mean, median, and mode.

(b) Compute the variance, standard deviation, and coefficient of variation.

(c) Compute the five-number summary and describe the shape of the boxplot.

3. The employees of a large company were surveyed on questions regarding their educational background and gender. Out of a total of 400 women employees, 240 had college degrees. Out of a total of 400 men employees, 200 had college degrees.

(a) Set up a 2 X 2 contingency table to evaluate the probabilities.

(b) Give an example of a simple event.

(c) Give an example of a joint event.

(d) What is the complement of the event: a woman with a college degree?

If an employee is selected at random, 

(e) What is the probability that the employee is a man?

(f) What is the probability that the employee has a college degree?

(g) What is the probability that the employee is a man and has a college degree?

(h) What is the probability that the employee is a man or has a college degree?

4. Given a Normal distribution with mean  = 2000 and  = 100,

(a) What is the probability that X > 1860?

(b) What is the probability that X < 2140?

(c) What is the probability that 1860 < X < 2140?

(d) 60% of the values are less than what X value?

5. A trucking company determined that, on an annual basis, the distance traveled per truck is normally distributed with a mean of 60 thousand miles and a population standard deviation of 16 thousand miles. If a sample of 16 trucks is selected,

(a) What is the probability that the average distance traveled is less than 58 thousand miles?

(b) What is the probability that the average distance traveled is more than 62 thousand miles?

(c) What is the probability that the average distance traveled is between 58 thousand miles and 62 thousand miles?

(d) Do we need the Central Limit Theorem to solve (a), (b), and (c)? Why or why not? Explain.

Attachments:

Related Questions

. The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric  Overview: For this assignment, you will implement the fundamental operations of create, read, update,

. Develop a program to emulate a purchase transaction at a retail store. This  program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project  Project Requirements:  Develop a program to emulate a purchase transaction at a retail store. This

. The following program contains five errors. Identify the errors and fix them

7COM1028   Secure Systems Programming   Referral Coursework: Secure

. Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

. The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric  Overview The final project will encompass developing a web service using a software stack and impleme