Exam 4: Normal Distribution and Standard Scores

What is the 40th percentile of N(36,36)?

The population mean of a distribution that is approximately normal is 72 and the population standard deviation is 9. What is the mean of the standardized distribution for this variable?

What is the proportion of the area below z = -.22 assuming a normal distribution and referring to the table for N(0,1)?

What is the percentile rank of the score 610 in a unit normal distribution that has a population mean of 500 and standard deviation of 100?

Which of the following is indicative of a distribution that is positively skewed?

The left tail of a distribution of a continuous variable is pulled extremely to the left. Which of the following would you expect to find given the shape of the distribution?

A new instructor receives the following standardized scores based on their first teaching evaluation: a) concern for students, -1.25; b) organization of the course, .35; c) facilitation of learning, .12; d) classroom materials, -2.10. In which area did the instructor score farthest from the average?

Which of the following is indicative of a distribution that has a kurtosis value of -11.56?

An auditor for the national accrediting agency for the college provides the administration with standardized scores for the areas they were assessed. The standardized scores include: a) recruitment, -1.50; b) assessment, +1.25; c) faculty qualifications, +.75; and d) program offerings, -1.00. In which area did the college score closest to the average?

The range of prices of new condominium sales ranges from $145,000 to $2,376,000. Most of the prices are bunched together in mid to low $200,000. What does this suggest in terms of the shape of the distribution?