Perform the Indicated Goodness-Of-Fit Test Using the P-Value Method At the 5% Significance Level, Do the Data Provide Evidence

question 26

Essay

Perform the indicated goodness-of-fit test using the P-value method. Be sure to state the hypotheses and the significancelevel , to compute the value of the test statistic, to obtain the P-value, and to state your conclusion.
-A firm that manufactures engines for racing boats gathers data from all of its plants. The table below gives the distribution of the life span of the engines (in numbers of months)for the entire firm. $\begin{array}{l} \begin{array} { c c } \frac { \text { Months } } { \text { Under 60 } } & \text { Relative Frequency } \\ 70 - 79 & 0.017 \\ 80 - 89 & 0.201 \\ 90 - 99 & 0.353 \\ 100 - 109 & 0.331 \\ & 0.098 \end{array}\\ \text { A random sample of } 448 \text { engines from the firm's Ohio plant gives the following results. }\\ \begin{array} { l r } \frac { \text { Months } } { \text { Under } 60 } & \text { Number of engine } \\ 70 - 79 & 22 \\ 80 - 89 & 131 \\ 90 - 99 & 46 \\ 100 - 109 & 154 \\ \hline \end{array} \end{array}$ At the 5% significance level, do the data provide evidence that the distribution of the life spans of the engines manufactured at the Ohio plant is different from the firm's overall distribution?

---

Definitions:

Adaptive Approach

A strategy or method that emphasizes flexibility and responsiveness to changing conditions or situations.

Beliefs And Values

These are fundamental principles or ideas that an individual or group holds to be true and important, guiding their behavior and decision-making.

Disciplined Focus

A methodical approach to maintaining attention and effort on set goals and tasks.

Zaleznik's Typology

A classification system devised by Abraham Zaleznik that differentiates leaders from managers based on their psychological motivations and patterns of behavior.