State What the Given Confidence Interval Suggests About the Two

question 87

Essay

State what the given confidence interval suggests about the two population means.
-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. $$\begin{array} { | l | l | l | l | } \hline & \text { t-Test: Two Sample for Means } & & \\\hline 1 & & \text { Variable 1 } & \text { Variable 2 } \\\hline 2 & \text { Mean } & 65.10738 & 66.18251 \\\hline 3 & \text { Known V ariance } & 8.102938 & 10.27387 \\\hline 4 & \text { Observations } & 50 & 50 \\\hline 5 & \text { Hypothesized Mean Difference } & 0 & \\\hline 6 & \text { t } & - 1.773417 & \\\hline 7 & \text { P(T<=t) one-tail } & 0.0384 & \\\hline 8 & \text { TCritical one-tail } & 1.644853 & \\\hline 9 & \text { P(T<=t) two-tail } & 0.0768 & \\\hline 10 & \text { tCritical two-tail } & 1.959961 & \\\hline\end{array}$$

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Definitions:

Closely Held Corporation

A closely held corporation is a type of company characterized by a small number of shareholders, typically involving family or close associates, with restrictions on the sale or transfer of shares.

Publicly Held Corporation

A company whose shares are publicly traded on stock exchanges, allowing public investors to buy and sell its stock.

Preferential Rights

Rights that give certain stakeholders in a company, such as shareholders or creditors, priority over others in specific situations, like asset distribution.

Liquidation

The process of closing a business and distributing its assets to claimants, often involving selling off assets to pay off creditors and then returning any remaining assets to the shareholders.