A Company That Sells an Online Course Aimed at Helping

question 92

Multiple Choice

A company that sells an online course aimed at helping high-school students improve their SAT scores has claimed that SAT scores will improve by more than 90 points on average if students successfully complete the course. To test this, a national school counseling organization plans to select a random sample of n = 100 students who have previously taken the SAT test. These students will take the company's course and then retake the SAT test. Assuming that the population standard deviation for improvement in test scores is thought to be 30 points and the level of significance for the hypothesis test is 0.05, what is the probability that the counseling organization will incorrectly "accept" the null hypothesis when, in fact, the true mean increase is actually 95 points?

• A) Approximately 0.508
• B) About 0.492
• C) Approximately 0.008
• D) Can't be determined without knowing the sample results.

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Definitions:

Data Points

Individual units of data that represent a single observation within a larger dataset, essential for analysis and interpretation.

Variability

The extent to which data points in a statistical distribution or dataset differ from each other and from their average.

Regression Equation

A mathematical formula that describes the relationship between two or more variables, typically used to predict the value of one variable based on the values of others.

Education

The process of facilitating learning, or the acquisition of knowledge, skills, values, beliefs, and habits through various methods like teaching, training, storytelling.