How Tall Is Your Average Statistics Classmate? to Determine This $68.2$

question 11

Multiple Choice

How tall is your average statistics classmate? To determine this, you measure the height of a simple random sample of 38 fellow students, finding a mean height of 68 inches and a standard deviation of 2.3 inches. Construct the 95% confidence interval estimate of the population mean.

• A) \(68.2\) in. \(< \mu < 68.8\) in.
• B) \(67.2\) in. \(< \mu < 68.8\) in.
• C) \(67.2\) in. \(< \mu < 69.8 \mathrm { in }\).
• D) \(68.2\) in. \(< \mu < 69.8\) in.

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Definitions:

High School Students

Individuals who are enrolled in grades 9 through 12 in a secondary education institution.

Mathematics Achievement

The level of success or proficiency that an individual or group has attained in the area of mathematics.

Ninth Graders

Students who are in the ninth grade, typically the first year of high school in the United States, around 14-15 years old.

Scores

Numerical values assigned to quantify performance, ability, or achievement.