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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.  t-Test: Two Sample for Means 1 Variable 1  Variable 2 2 Mean 65.1073866.182513 Known V ariance 8.10293810.273874 Observations 50505 Hypothesized Mean Difference 06 t 1.7734177 P(T<=t) one-tail 0.03848 TCritical one-tail 1.6448539 P(T<=t) two-tail 0.076810 tCritical two-tail 1.959961\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}

Identify the key attributes and applicability of process cost accounting systems.
Differentiate between period costs and product costs in manufacturing and service organizations.
Recognize how costs are reported on the financial statements of manufacturing businesses.
Understand the sources and documentation used in job order cost accounting, including material requisitions and receiving reports.

Definitions:

Critical Value(s)

The threshold values used in hypothesis testing to determine whether to reject the null hypothesis, based on the chosen significance level.

Hypotheses

Statements made for the purpose of testing if they are true or false within the context of scientific research or experiments.

Two-tailed Test

A statistical test hypothesis where the area of interest is in both tails of the probability distribution, testing for the possibility of an effect in two directions.

One-tail Area

The probability in the tail of a distribution in a one-tailed test.

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