A professor believes the students in a statistics class this term are more creative than most other students attending the university. A previous study found that students at the university had a mean score of 35 on a standard creativity test, and the current class has an average score of 40 on this scale with an estimated population standard deviation of 7. The standard deviation of the distribution of means is 1.63.
-The t score is

Question

Quizplus · Accepted Answer

The t score formula is (sample mean - population mean) / (sample standard deviation / sqrt(sample size)). In this case, the sample mean is 40, the population mean is 35, the sample standard deviation is 7 and the sample size is not given. However, we are given the standard deviation of the distribution of means, which is 1.63. This suggests that the sample size is large enough to use the normal distribution approximation of the t-distribution. Using the formula, we get t = (40-35) / (1.63) = 3.07. Therefore, the best choice is B.

A Professor Believes the Students in a Statistics Class This