A Sample of N = 16 Individuals Is Selected from a Population

question 63

Essay

A sample of n = 16 individuals is selected from a population with µ = 30.After a treatment is administered to the individuals,the sample mean is found to be M = 33.
a. If the sample variance is s2 = 16, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
b. If the sample variance is s2 = 64, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05.
c. Describe how increasing variance affects the standard error and the likelihood of rejecting the null hypothesis.

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Definitions:

Subordinates/Team Members

Individuals who work under the supervision of someone else in an organization, contributing to the team's objectives.

Management By Objectives Approach

A performance management framework where managers and employees collaborate to set, monitor, and achieve specified goals.

Supervisor/Team Leader

A person who oversees the performance of a group or team, providing guidance, support, and direction to achieve specific goals.

Subordinates/Team Members

Individuals who report to a higher authority within an organization, contributing to team and organizational goals under supervision.