A strong foundation in early number concepts is crucial for students' future success in statistics. Despite its importance in statistics, many first-year students struggle to comprehend the normal distribution due to a lack of basic number sense. Students get confused about the order and magnitude of negative z-scores on a standard normal curve or…

We derive the additive property of Poisson random variables directly from the probability mass function. An important application of the additive property to quality testing of computer chips is presented.

As a part of an opening course survey, data on eye color and gender were collected from students enrolled in an introductory statistics course at a large university over a recent four year period. Biologically, eye color and gender are independent traits. However, in the data collected from our students, there is a statistically significant…

The present study with college students examined the effect of amount on the discounting of probabilistic monetary rewards. A hyperboloid function accurately described the discounting of hypothetical rewards ranging in amount from $20 to $10,000,000. The degree of discounting increased continuously with amount of probabilistic reward. This effect…

An institution that offers high-quality study abroad programs is perceived as likely to provide a stimulating learning environment for the students (Stroud, 2010). However, there are very few well-designed evaluation studies that provide evidence about the types of impacts of study abroad programs on students' academic and non-academic outcomes.…

This paper identifies key concepts and issues associated with the reasoning of informal statistical inference. I focus on key ideas of inference that I think all students should learn, including at secondary level as well as tertiary. I argue that a fundamental component of inference is to go beyond the data at hand, and I propose that statistical…

Eight experiments examined whether certain human problem-solving mechanisms should be expected to represent probability information in terms of frequency. Findings are consistent with literature indicating that frequentist representations eliminate various cognitive biases, including overconfidence, the conjunction fallacy, and base rate neglect.…