The Frequency Distribution of the Number of Years of Service

question 64

Essay

The frequency distribution of the number of years of service for 100 employees is shown below. $$\begin{array} { | c | c | } \hline \text { Years } & \text { Frequency } \\\hline 0 \text { up to } 5 & 12 \\\hline 5 \text { up to } 10 & 16 \\\hline 10 \text { up to } 15 & 42 \\\hline 15 u p \text { to } 20 & 20 \\\hline 20 \text { up to } 25 & 10 \\\hline \text { Total } & 100 \\\hline\end{array}$$ a. Estimate the proportion of employees who have fewer than 10 years of service.
b. Estimate the proportion of employees who have more than 20 years of service.
c. Estimate the proportion of employees who have between 10 and 20 years of service.

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Definitions:

Chi-square

A statistical test used to determine if there is a significant association between two categorical variables.

Independent Samples

Two or more groups of data that are collected from separate populations, where the participants in one group do not affect the members of another group.

ANOVA

Analysis of Variance (ANOVA) is a statistical method used to test differences between two or more means by analyzing variances.