A University Lecturer Claims That Students Who Attend Lecturers Score

question 21

Essay

A university lecturer claims that students who attend lecturers score a higher final mark in her course than students who watch the lecture recordings online. The lecturer takes a random sample of the final marks of 40 students who attended her university lectures and found their average mark was 65 with a standard deviation of 5. The lecturer takes a random sample of 30 university students who watched the lecture recordings online and found their average mark was 60 with a standard deviation of 8. Is there significant evidence to support this university lecturer's claim? Test at the 5% level of significance, assuming that the population variances are unequal.

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Definitions:

Insulin-Dependent Diabetes

A chronic condition where the pancreas produces little or no insulin, requiring the person to administer insulin through injections or a pump; also known as Type 1 diabetes.

Poisson Distribution

A probability distribution that models the number of times an event occurs within a fixed interval of time or space.

Incidence

The frequency or rate at which new cases of a particular condition occur in a specified population over a given period of time.

Chronic Disorder

A long-lasting condition that can be controlled but not cured, often requiring ongoing management and treatment.