Forty-Eight Participants Were Randomly Assigned to Do Math Tasks Under

question 106

Essay

Forty-eight participants were randomly assigned to do math tasks under one of three conditions: 16 while listening to soft gentle music, 16 while listening to loud intense music, and 16 while in silence. The means and estimated population variances for the three groups were: Soft-gentle: M = 33, S² = 25; Loud-intense: M = 42, S² = 36; Silence M = 42,
S² = 16.
Do these results suggest that there is a difference in performance on this kind of math task under these three conditions? (Use the .05 level.)
a. Use the five steps of hypothesis testing.
b. Sketch the distribution involved.
c. Figure the effect size of the study.
d. Explain the logic of what you have done-be sure your explanation includes the logic of comparing within groups to between-group population variance estimates, the F distribution and the F table.

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Definitions:

Equilibrium Quantity

The quantity of a good or service at which quantity supplied equals quantity demanded in the market.

Price System

An economic system where the prices of goods and services are determined by supply and demand, guiding the allocation of resources and goods.

Signals

Indicators or signs that provide information or hints, often used in the context of markets to indicate trends or investment opportunities.

Demand Curve

A graphical representation showing the relationship between the price of a good and the quantity demanded by consumers at various prices.