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Summary Statistics Are Given for Independent Simple Random Samples from Two

question 76

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Summary statistics are given for independent simple random samples from two populations. Preliminary data analysesindicate that the variable under consideration is normally distributed on each population. Decide whether use of thepooled t-test and pooled t-interval procedure is reasonable. Explain your answer.
- xˉ1=143.9, s1=17.2,n1=7,xˉ2=212.9, s2=47.7,n2=17\bar { x } _ { 1 } = 143.9 , \mathrm {~s} _ { 1 } = 17.2 , \mathrm { n } _ { 1 } = 7 , \bar { x } _ { 2 } = 212.9 , \mathrm {~s} _ { 2 } = 47.7 , \mathrm { n } _ { 2 } = 17

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Definitions:

ANOVA

Analysis of Variance, a statistical method used to compare the means of three or more groups to see if at least one is statistically significantly different from the others.

Null Hypothesis

A statement or assumption that there is no significant difference or effect, serving as the default or starting assumption in statistical hypothesis testing.

ANOVA

Short for Analysis of Variance, a statistical method used to compare the means of three or more samples to find if at least one sample mean is significantly different from the others.

Statistical Technique

Methods of collecting, analyzing, interpreting, and presenting data in order to make more informed decisions.

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