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Given Below Are the Analysis of Variance Results from a Minitab

question 26

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Given below are the analysis of variance results from a Minitab display. to use a 0.05 significance level in testing the null hypothesis that the different samples come from populations with the same mean. What can you conclude about the equality of the
Population means?  Source DFSSMSFp Factor 313.5004.5005.170.011 Error 1613.9250.870 Total 1927.425\begin{array} { l | r | c | c | c | c } \text { Source } & \boldsymbol { D } \boldsymbol { F } & \boldsymbol { S S } & \boldsymbol { M S } & \boldsymbol { F } & \boldsymbol { p } \\\hline \text { Factor } & 3 & 13.500 & 4.500 & 5.17 & 0.011 \\\hline \text { Error } & 16 & 13.925 & 0.870 & & \\\hline \text { Total } & 19 & 27.425 & & &\end{array}

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Definitions:

Judgment Sampling

A nonprobability method of sampling whereby elements are selected for the sample based on the judgment of the person doing the study.

Cluster Sampling

A probability sampling method in which the population is first divided into clusters and then a simple random sample of the clusters is taken.

Simple Random Sampling

A sampling method where each member of the population has an equal chance of being selected, ensuring unbiased representation.

Stratified Simple Random Sampling

A sampling method that divides a population into smaller groups or strata and then selects random samples from each stratum.

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