Assembly Line Your New Job at Panasony Is to Do

question 43

Essay

Assembly line Your new job at Panasony is to do the final assembly of camcorders. As you
learn how, you get faster. The company tells you that you will qualify for a raise if after 13
weeks your assembly time averages under 20 minutes. The data shows your average
assembly time during each of your first 10 weeks. $$\begin{array} { | c | c | } \hline \text { Week } & \text { Time(min) } \\\hline 1 & 43 \\\hline 2 & 39 \\\hline 3 & 35 \\\hline 4 & 33 \\\hline 5 & 32 \\\hline 6 & 30 \\\hline 7 & 30 \\\hline 8 & 28 \\\hline 9 & 26 \\\hline 10 & 25 \\\hline\end{array}$$
a. Which is the explanatory variable?
b. What is the correlation between these variables?
c. You want to predict whether or not you will qualify for that raise. Would it be
appropriate to use a linear model? Explain.

---

Definitions:

Population Means

The average value of all data points within a population, a key parameter in many statistical analyses.

Alternative Hypothesis

A hypothesis that suggests there is a difference, effect, or relationship for the general population; it contrasts with the null hypothesis.

MST Degrees of Freedom

Represents the number of independent values or quantities which can be assigned to a statistical distribution minus the number of population parameters estimated simultaneously.

MSE Degrees of Freedom

The number of independent values or quantities that can vary in the calculation of the mean squared error (MSE).