It is known that the population mean on the math portion of the SAT is 500, with a standard deviation of 100.Assume that the average math SAT score for freshmen entering your college is 550, with a standard deviation of 110.Does the math performance of students entering your college differ from that of all individuals taking the SAT? What statistical analysis is used to answer this question?
A) single-sample t test
B) z test
C) standard deviation analysis
D) dependent-samples t test

Question

Quizplus · Accepted Answer

A z test is used to compare a sample mean to a population mean when the standard deviation is known. In this case, we have the population mean and standard deviation for the math portion of the SAT, and we want to compare the sample mean (freshmen entering our college) to the population mean. A single-sample t test is used when the population standard deviation is unknown and must be estimated from the sample. A dependent-samples t test is used when comparing two sets of scores that are related (e.g. before and after treatment). Standard deviation analysis is not a specific statistical test, but rather a concept used in many different statistical analyses.

It Is Known That the Population Mean on the Math