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  1. x x-bar Arithmetic mean or Average of X scores. n x x ¦ for ungrouped data. ¦ ¦ f fx x for grouped data. Measures of central tendency y Dependent variable or response variable in regression analysis Eg. In the study of, yield obtained & the irrigation level, dependent variable is, Y= Yield obtained. Z Z-score Standard normal variable (Normal ...

  2. The X-Bar and R Charts procedure creates control charts for a single numeric variable where the data have been collected in subgroups. It creates both an X-bar chart to monitor the subgroup means and an R chart to monitor the subgroup ranges. Out-of-control signals are highlighted,

  3. Descriptive statistics x – sample mean (read as „x bar“) ~x – median xˆ – mode µ– population mean (read as „mju“) IQR – interquartile range R – range Q1, Q2, Q3, Q4 – first, second, third and fourth quartile σ2– population variance (read as „sigma squared“) . 2.

  4. Symbols related to the underlying sample of interest n Size of the sample m or x̄ Sample mean (x-bar) s or SD Sample standard deviation s2 Sample variance r Sample correlation coefficient p Sample proportion Other symbols and abbreviations x Random variable df Degrees of freedom t t statistic χ2 Chi-squared statistic Z Z statistic

  5. Statistics Symbols Population Parameters Sample Statistics (point estimates) Population Mean (mu): Sample Mean (x bar): 𝜇 𝑥̅ Population Standard Deviation (sigma): Sample Standard Deviation: 𝜎 Population Variance (sigma squared): Sample Variance: 𝜎 2 Population Proportion: Sample Proportion (p-hat) or (p-prime): 𝑝

  6. We’ll take a sample of n=32 students. The mean of this sample is x ̄x = 4.17; we use the standard notation x ̄x to denote this mean. We say that ̄x x is a sample statistic because it comes from a sample of the entire population. Thus, x ̄x is called a sample mean. We’ll take another sample of n=32 students.

  7. The X-Bar and S Charts procedure creates control charts for a single numeric variable where the data have been collected in subgroups. It creates both an X-bar chart to monitor the subgroup means and an S chart to monitor the subgroup standard deviations. Out-of-control signals are

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