## Probability and Statistics Practice Tests and Solutions

### What you’ll learn

This Practice Tests course is designed to refresh your understanding of topics related to probability and statistics.

Test your knowledge on topics related to probability and statistics before taking the ASQ CQE, CSSGB or the CSSBB exam.

### Requirements

A simple calculator with statistical functions – eg TI-30Xa

### Description

Do you need some practice questions for your exam preparation? Learn probability and statistics by solving problems.This course will test your understanding of the basic concepts related to Probability, Statistics and Data Analysis. More than 100 questions with solutions have been included in this course.The following areas of statistics are covered:Descriptive Statistics – Mean, Mode, Median, Quartile, Range, Inter Quartile Range, Standard DeviationData Visualization – Commonly used charts such as Histogram and Box and Whisker Plot Probability – Basic Concepts, Permutations, CombinationsProbability Distributions – Normal, Binomial and Poisson DistributionsHypothesis Testing – One Sample and Two Samples – z Test, t-Test, p Test, F Test, Chi-Square TestANOVA – Analysis of Variance (ANOVA)Why this course?More than 100 statistics questions, supported by video solution for each question1,000+ satisfied students. You can use this course to prepare for the CQA, CQE, CSSGB, CSSBB, CQT, CQPA and many other exams.What are other students saying about this course?Good preparation questions for the CQE exam. (5 stars by Sudhakar Thamodharan)It gives me more great methods to solve statistic problems. (5 stars by henry Yu)This course was a life saver the weekend before my test. Really good refresher training on very important CQE calculations. (5 stars by CCChris Cunningham)I highly recommend Mr. Kumar’s course called “Probability and Statistics – Practice Tests and Solutions.” I am so glad I purchased this and went through each question and understood rationale on the ones I answered incorrectly. After preparing with Mr. Kumar’s courses, I felt very confident on exam day. (5 stars by Christopher Philip)wow!!!!!!!!!!!!!!!!!!!!!!!!! I loved it!!!!!!!!!!!!!! The explanations are very clear and a loooooooooooooot of different examples for each subject are shown. I loved it!!!!!!!! (5 stars by Elizabeth Campoy Sotomayor)What are you waiting for?This course comes with Udemy’s 30 days money-back guarantee. If you are not satisfied with the course, get your money back.I hope to see you in the course.Note: We are not a representative of ASQ®, IASSC® or any other certification organization. ASQ® is the registered trademark of the American Society for Quality. IASSC® is the registered trademark of the International Association for Six Sigma Certification. We are an independent training provider. We are neither associated nor affiliated with the certification organization(s) mentioned in our courses. The name and title of the certification exam mentioned in this course are the trademarks of the respective certification organization. We mention these names and/or the relevant terminologies only for describing the relevant exam processes and knowledge (i.e. Fair Use).

### Overview

Section 1: Quiz Questions

Lecture 1 Introduction

Lecture 2 Download Tables and Reference Sheets

Section 2: Solutions – Quiz 1 Basic Probability

Lecture 3 Basic Probability – 1QA1 – A single die is rolled once. Find the probability ..

Lecture 4 Basic Probability – 1QA2 – A ball is drawn at random from a box containing 20 ..

Lecture 5 Basic Probability – 1QA3 – If two dice are rolled, what is the probability of ..

Lecture 6 Basic Probability – 1QA4 – If X={1,3,5,7,9} , Y={1,2,3,9,11} and Z = {5,8,9} ..

Lecture 7 Basic Probability – 1QA5 – If P(A) = 0.10, P(B) = 0.10, P(A ∪ B) = 0.18 What ..

Lecture 8 Basic Probability – 1QA6 – Which of the following events are mutually exclusive?

Lecture 9 Basic Probability – 1QA7 – If P(A) = 0.10, P(B) = 0.10, P(A∩B) = 0.02 …

Lecture 10 Basic Probability – 1QA8 – If P(A) = 0.10, P(B) = 0.10, P(A) ∩ P(B) = 0.02 …

Lecture 11 Basic Probability – 1QA9 – In a town 50% people speak English and 55% people …

Lecture 12 Basic Probability – 1QA10 – A card is drawn from a full deck of 52 cards. What

Lecture 13 Basic Probability – 1QA11 – What is the probability of a 6 turning up at least

Lecture 14 Basic Probability – 1QA12 – A fair die is tossed twice. What is the probability

Lecture 15 Basic Probability – 1QA13 – Two balls are drawn at random without replacement

Lecture 16 Basic Probability – 1QA14 – In how many ways can a committee of 4 people be …

Lecture 17 Basic Probability – 1QA15 – In how many different ways can the letters of the

Lecture 18 Basic Probability – 1QA16 – The probability that a random person has lung ..

Lecture 19 Basic Probability – 1QA17 – If you randomly draw a card from two packs below ..

Lecture 20 Basic Probability – 1QA18 – If P(A) = 0.17 and P(B) = 0.31. If P(A|B) = 0.12, ..

Lecture 21 Basic Probability – 1QA19 – A box contains 3 red and 2 blue balls while …

Lecture 22 Basic Probability – 1QA20 – A test for a rare disease is 99 percent correct …

Lecture 23 Basic Probability – 1QA21 – A welder produces welds that can have a crack …

Section 3: Solutions: Quiz 2: Descriptive Statistics

Lecture 24 Descriptive Statistics – 2Q1 – A class has a mean score of 65 (μ=65) and a …

Lecture 25 Descriptive Statistics – 2QA2 – In the birth register maintained by the hospital

Lecture 26 Descriptive Statistics – 2QA3 – What symbol is used to denote the mean of a …

Lecture 27 Descriptive Statistics – 2QA4 – Find the variance of the following sample data

Lecture 28 Descriptive Statistics – 2QA5 – If the standard deviation of the data is 0.36 ..

Lecture 29 Descriptive Statistics – 2QA6 – The mean of 4 numbers is 28. If three of the…

Lecture 30 Descriptive Statistics – 2QA7 – What is the median of the following data set?

Lecture 31 Descriptive Statistics – 2QA8 – What is the mode of the following data set?

Lecture 32 Descriptive Statistics – 2QA9 – What is the term used to describe the distri

Lecture 33 Descriptive Statistics – 2QA10 – Which of the following measures can have more

Lecture 34 Descriptive Statistics – 2QA11 – The mean and the standard deviation of two

Lecture 35 Descriptive Statistics – 2QA12 – Find the Inter-Quartile Range for the following

Lecture 36 Descriptive Statistics – 2QA13 – What is the mode of the data shown in the histo

Lecture 37 Descriptive Statistics – 2QA14 – What is the median of the data shown in the Box

Lecture 38 Descriptive Statistics – 2QA15 – What is the Inter-quartile Range of the data

Lecture 39 Descriptive Statistics – 2QA16 – Which of the following statement is correct

Lecture 40 Descriptive Statistics – 2QA17 – The mean of a set of numbers is 100, the mode

Lecture 41 Descriptive Statistics – 2QA18 – Calculate the standard deviation of the follow

Section 4: Solutions: Quiz 3: Probability Distributions

Lecture 42 Probability Distributions – 3QA1 – A manufacturer produces 10% defective items

Lecture 43 Probability Distributions – 3QA2 – A manufacturer produces 10% defective items.

Lecture 44 Probability Distributions – 3QA3 – What is the mean and the variance of a binomi

Lecture 45 Probability Distributions – 3QA4 – In flipping a fair coin 5 times what is the p

Lecture 46 Probability Distributions – 3QA5 – The average defects rate of a supplier is 6%.

Lecture 47 Probability Distributions – 3QA6 – Calculate the probability of 3 or fewer defec

Lecture 48 Probability Distributions – 3QB1 – On a booking counter on the average 3.6 peopl

Lecture 49 Probability Distributions – 3QB2 – In the formula for the Poisson Distribution

Lecture 50 Probability Distributions – 3QB3 – On a booking counter on the average 3.6 peopl

Lecture 51 Probability Distributions – 3QB4 – A data entry operator has an average error r

Lecture 52 Probability Distributions – 3QB5 – What is the distribution that has the same me

Lecture 53 Probability Distributions – 3QB6 – If the probability that the glass panel will

Lecture 54 Probability Distributions – 3QC1 – A population has a μ=45 and σ=2. If these sco

Lecture 55 Probability Distributions – 3QC2 – A random variable X has a normal distribution

Lecture 56 Probability Distributions – 3QC3 – Using the Z Table what is the value of P(z <

Lecture 57 Probability Distributions – 3QC4 – Using the Z Table what is the value of P(–0.

Lecture 58 Probability Distributions – 3QC5 – If data are normally distributed, what percen

Lecture 59 Probability Distributions – 3QC6 – Looking at the below Histogram, what is the b

Lecture 60 Probability Distributions – 3QC7 – The mean weight of 1000 students at a certain

Lecture 61 Probability Distributions – 3QC8 – The average annual rain fall in a city is 35

Lecture 62 Probability Distributions – 3QC9 – Suppose that 40% of a bolts have the tensile

Lecture 63 Probability Distributions – 3QC10 – The lifetime of a newly produced LED bulb is

Lecture 64 Probability Distributions – 3QC11 – A fair coin is tossed 45 times. What is the

Lecture 65 Probability Distributions – 3QD1 – Regarding t-distribution which of the followi

Lecture 66 Probability Distributions – 3QD2 – A battery manufacturer claims that the batter

Section 5: Solutions: Quiz 4: Hypothesis Basics

Lecture 67 Central Limit Theorem – 4QA1 – Bolts produced by a machine have a mean weight of

Lecture 68 Central Limit Theorem – 4QA2 – From the Minitab output below, one item (SE Mean)

Lecture 69 Central Limit Theorem – 4QA3 – One thousand bolts produced by a machine have a m

Lecture 70 Central Limit Theorem – 4QA4 – A Normal distribution has a mean of 50 and a stan

Lecture 71 Central Limit Theorem – 4QA5 – Regardless of the distribution of the individuals

Lecture 72 Central Limit Theorem – 4QA6 – The distribution of a characteristic is negativel

Lecture 73 Confidence Interval – 4QB1 – A survey was conducted in a country to determine th

Lecture 74 Confidence Interval – 4QB2 – Which of the following will result in the narrowest

Lecture 75 Confidence Interval – 4QB3 – Researchers want to determine the sleeping time eac

Lecture 76 Confidence Interval – 4QB4 – A teacher found that in a sample of 80 students, 17

Lecture 77 Hypothesis Tests Basics – 4QC1 – A medicine has 66% success rate. The compositio

Lecture 78 Hypothesis Tests Basics – 4QC2 – A lubricating oil manufacturing company continu

Lecture 79 Hypothesis Tests Basics – 4QC3 – Suppose you conducted 10 hypothesis tests, each

Lecture 80 Hypothesis Tests Basics – 4QC4 – What is the probability of a Type II error when

Lecture 81 Hypothesis Tests Basics – 4QC5 – Which of the following statements is correct re

Lecture 82 Hypothesis Tests Basics – 4QC6 – What is the difference between setting the alph

Section 6: Solutions: Quiz 5: Hypothesis Tests (One Sample and Two Sample)

Lecture 83 Hypothesis Tests – 5QA1 – The average breaking strength of steel rods is require

Lecture 84 Hypothesis Tests – 5QA2 – The average breaking strength of steel rods is require

Lecture 85 Hypothesis Tests – 5QA3 – The average breaking strength of steel rods is require

Lecture 86 Hypothesis Tests – 5QA4 – The average breaking strength of steel rods is require

Lecture 87 Hypothesis Tests – 5QA5 – A random sample of 15 batteries resulted in the averag

Lecture 88 Hypothesis Tests – 5QA6 – A survey claimed that 23% adults in the country read p

Lecture 89 Hypothesis Tests – 5QA7 – To test the following hypothesis, what will be the tes

Lecture 90 Hypothesis Tests – 5QA8 – Calculate the test statistic for the following hypothe

Lecture 91 Hypothesis Tests – 5QA9 – Conduct the following hypothesis using the given data.

Lecture 92 Hypothesis Tests – 5QA10 – The chi-square test statistic can have the __________

Lecture 93 Hypothesis Tests – 5QB1 – A university has professors with Ph.D. and without a P

Lecture 94 Hypothesis Tests – 5QB2 – If alpha = 0.05, what do you conclude from the below

Lecture 95 Hypothesis Tests – 5QB3 – 50 men and 50 women were surveyed to find out their

Lecture 96 Hypothesis Tests – 5QB4 – 50 men and 50 women were surveyed to find out their

Lecture 97 Hypothesis Tests – 5QB5 – In a two-sample t-test under what condition the follow

Lecture 98 Hypothesis Tests – 5QB6 – In a two-sample t-test under what condition the follow

Lecture 99 Hypothesis Tests – 5QB7 – In a two-sample t-test, there are two approaches:

Lecture 100 Hypothesis Tests – 5QB8 – A two-sample t-test was conducted using Minitab.

Lecture 101 Hypothesis Tests – 5QB9 – From vendor A we test 200 pieces and find 30 defective

Lecture 102 Hypothesis Tests – 5QB10 – From vendor A we test 200 pieces and find 30 defectiv

Lecture 103 Hypothesis Tests – 5QB11 – How is an F value calculated?

Lecture 104 Hypothesis Tests – 5QB12 – What attributes control the shape of an F distributio

Lecture 105 Hypothesis Tests – 5QB13 – Use the tables to find F0.01 for an F random

Lecture 106 Hypothesis Tests – 5QB14 – Use the tables to find F0.95 for an F random variable

Lecture 107 Hypothesis Tests – 5QB15 – Two random samples taken from two normal populations

Lecture 108 Hypothesis Tests – 5QB16 – Two random samples taken from two normal populations

Section 7: Solutions: Quiz 6: ANOVA

Lecture 109 ANOVA – 6QA1 – Analysis of variance is a statistical method of comparing the ___

Lecture 110 ANOVA – 6QA2 – To test equality of means of more than 2 populations which of the

Lecture 111 ANOVA – 6QA3 – What does ANOVA calculate?

Lecture 112 ANOVA – 6QA4 – Three types of batteries were tested for the battery life. See th

Lecture 113 ANOVA – 6QA5 – Find the missing values from the below one-way ANOVA table.

Lecture 114 ANOVA – 6QA6 – What is the value of Adj SS Total in the below one-way ANOVA tabl

Lecture 115 Goodness of Fit – 5QB1 – A fair coin is flipped 100 times, and the numbers of

Lecture 116 Goodness of Fit – 5QB2 – The score of a test is normally distributed with the

Lecture 117 Contingency Tables – 5QC1 – Which of the following tests is used to analyze the

Lecture 118 Contingency Tables – 5QC2 – To test the effectiveness of a medicine, 235 patient

Lecture 119 Contingency Tables – 5QC3 – To test the effectiveness of a medicine, 235 patient

Section 8: Bonus Section

Lecture 120 Bonus Lecture

Quality professionals appearing in the ASQ exams (such as CQE, CSSGB, CSSBB)

#### Course Information:

Udemy | English | 7h 30m | 3.54 GB

Created by: Sandeep Kumar, Quality Gurus Inc.

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