A University Wants to Compare Out-Of-State Applicants' Mean SAT Math

question 116

Multiple Choice

A university wants to compare out-of-state applicants' mean SAT math scores (μ₁) to in-state applicants' mean SAT math scores (μ₂) . The university looks at 35 in-state applicants and 35 out-of-state applicants. The mean SAT math score for in-state applicants was 540, with a standard deviation of 20. The mean SAT math score for out-of-state applicants was 555, with a standard deviation of 25. It is reasonable to assume the corresponding population standard deviations are equal. At the 5% significance level, can the university conclude that the mean SAT math score for in-state students and out-of-state students differ?

• A) No, because the confidence interval contains zero.
• B) Yes, because the confidence interval contains zero.
• C) No, because the confidence interval does not contain zero.
• D) Yes, because the confidence interval does not contain zero.

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Definitions:

Boxplots

A graphical representation of data that summarizes the distribution through its quartiles, showing the median, upper and lower quartiles, and potential outliers.

Energy Consumption

The total amount of energy used by an entity, expressed in units such as kilowatt-hours or joules.

Bonferroni Method

A statistical correction technique used to reduce the chances of obtaining false-positive results when performing multiple comparisons.

SPSS Output

The results and statistical reports generated by the SPSS software after analyzing a dataset.