"A fast food restaurant strives to serve 80 customers per hour during its peak lunch hour. It samples 30 shifts (i.e. 30 peak lunch hours) to determine whether it is meeting this expectation. ... More > The sample mean is 75 customers. The population standard deviation is known to be 10.
1. Set up a null and alternative hypothesis to test whether this sample is falling below expectations.
2. Conduct this hypothesis test at the 5% level of significance.
"< Less

Each year, millions of students across the state of Massachusetts take the MCAS, or Massachusetts Comprehensive Assessment System. For 10th grade students, passing the test is a requirement to... More > receive a high school diploma. This has contributed to rising drop out rates statewide. What can we do to make a change?< Less

Each year, millions of students across the state of Massachusetts take the MCAS, or Massachusetts Comprehensive Assessment System. For 10th grade students, passing the test is a requirement to... More > receive a high school diploma. This has contributed to rising drop out rates statewide. What can we do to make a change?< Less

The standard deviation is a popular measure of variability. It is used both as a separate entity and as a part of other analyses, such as computing confidence intervals and in hypothesis testing. The... More > standard deviation is the square root of the variance. The population standard deviation is denoted by σ. Like the variance, the standard deviation utilizes the sum of the squared deviations about the mean (SSx). It is computed by averaging these squared deviations (SSX/N) and taking the square root of that average.< Less

This book is incomplete. It is available free at dmaa.pdf. The completed book will have new cover art and a new title; this is just here for test printing.
In quantum mechanics text books, the... More > density matrix is almost universally treated as a useful mathematical device derived from the state vector. In this book, we reverse the situation and treat the density matrix as fundamental and the state vector as a mathematical convenience. The mathematical technique is mostly Feynman diagrams for qubit quantum states written in Clifford algebra. The text is intended for physics graduate students who are studying elementary particles.
Written using the scientific standard LaTeX mathematical typesetting in the "memoir class", the book includes marginal notes, and when complete will have an index with notation and homework problems. Source code for the book is at dmaa.tex< Less

This book is incomplete. It is available free at dmaa.pdf. The completed book will have new cover art and a new title; this is just here for test printing.
In quantum mechanics text books, the... More > density matrix is almost universally treated as a useful mathematical device derived from the state vector. In this book, we reverse the situation and treat the density matrix as fundamental and the state vector as a mathematical convenience. The mathematical technique is mostly Feynman diagrams for qubit quantum states written in Clifford algebra. The text is intended for physics graduate students who are studying elementary particles.
Written using the scientific standard LaTeX mathematical typesetting in the "memoir class", the book includes marginal notes, and when complete will have an index with notation and homework problems. Source code for the book is at dmaa.tex< Less

This two-page worksheet provides the student with thirteen problems that review skills typically found on standardized math tests. Next to each is a worked example that the students can use to... More > analogize. Students get immediate feedback as their answers are used to decode a secret message. This worksheet has been successfully tested with students who happily stayed on task and approached mastery after reviewing these skills.< Less