Fifty Students Are Enrolled in an Economics Class

question 13

Essay

Fifty students are enrolled in an Economics class. After the first examination, a random sample of 5 papers was selected. The grades were 60, 75, 80, 70, and 90.
a.Calculate the estimate of the standard error of the mean.
b.What assumption must be made before we can determine an interval for the mean grade of all the students in the class? Explain why.
c.Assume the assumption of Part b is met. Provide a 90% confidence interval for the mean grade of all the students in the class.
d.If there were 200 students in the class, what would be the 90% confidence interval for the mean grade of all the students in the class?

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Definitions:

Tert-Butyl Alcohol

An organic compound with the formula (CH3)3COH, used as a solvent and in the preparation of other compounds.

Non-Bonding Lone Pairs

Pairs of valence electrons on an atom that are not involved in chemical bonding but influence the molecule's geometry and physical properties.

Covalent Bonds

Chemical bonds formed by the sharing of electron pairs between atoms, contributing to the stability and structure of molecules.

Polar

Describes a molecule with an uneven distribution of electron density, leading to a partial positive charge on one side and a partial negative charge on the other.