When Testing for a Difference Between the Means of a Treatment

question 9

Essay

When testing for a difference between the means of a treatment group and a placebo group, the computer display below is obtained. Using a 0.05 significance level, is there sufficient evidence to support the claim that the treatment group (variable 1) comes from a population with a mean that is less than the mean for the placebo population? Explain. $$\begin{array} { | l | l | l | l | } \hline & \text { t-Test: Two Sample for Means } & & \\\hline 1 & & \text { Variable 1 } & \text { Variable 2 } \\\hline 2 & \text { Mean } & 65.10738 & 66.18251 \\\hline 3 & \text { Known Variance } & 8.102938 & 10.27387 \\\hline 4 & \text { Observations } & 50 & 50 \\\hline 5 & \text { Hypothesized Mean Difference } & 0 & \\\hline 6 & \mathrm { t } & - 1.773417 & \\\hline 7 & \text { P(T<=t) one-tail } & 0.0384 & \\\hline 8 & \text { TCritical one-tail } & 1.644853 & \\\hline 9 & \text { P(T<=t) two-tail } & 0.0768 & \\\hline 10 & \text { tCritical two-tail } & 1.959961 & \\\hline\end{array}$$

Appreciate the importance of respecting diverse religious practices and beliefs in educational settings.

Develop strategies for inclusive engagement of diverse families in school activities.

Understand the variability in the effects of divorce on children and families.

Recognize the demographic and cultural variations in family structures, including extended, multigenerational, and single-parent families.

---

Definitions:

Relatively Elastic

Describes a situation where a small change in price leads to a larger change in quantity demanded or supplied.

Price Decline

A decrease in the cost of goods or services, often resulting from lower demand, increased supply, or external market factors.

Supply Curve

A curve that illustrates the supply for a product by showing how each possible price (on the vertical axis) is associated with a specific quantity supplied (on the horizontal axis).

Equilibrium Price

The price at which the quantity of a product offered is equal to the quantity of the product in demand.