A Researcher Selects a Sample of 36 Students from a School

question 27

Multiple Choice

A researcher selects a sample of 36 students from a school population with a mean IQ of 100 and a standard deviation of 12.She determines that the mean IQ in this sample is 104.Assuming she computes a one-sample z test at a .05 level of significance,what is the decision for a two-tailed test?

• A) Retain the null hypothesis; IQ scores in this sample are the same as those in the population.
• B) Reject the null hypothesis; IQ scores in this sample are significantly higher than those in the population.
• C) There is not enough information to make a decision.

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Definitions:

Mean Age

The average age of a group of people, calculated by summing their ages and dividing by the number of individuals.

College Professors

Academic professionals who teach students in colleges and universities and often engage in research.

Interquartile Range

A measure of statistical variability that describes the range between the first (25th percentile) and third (75th percentile) quartiles, effectively capturing the middle 50% of the data.

1st Quartile

The value below which 25% of the observations in a dataset fall, also known as the 25th percentile.