Quarterly Enrolments in a Business Statistics Class for Three Years

question 54

Essay

Quarterly enrolments in a business statistics class for three years are shown below. $$\begin{array} { | c | c c | } \hline \text { Year } & \text { Quarter } & \text { Enrolment } \\\hline 1996 & 1 & 26 \\& 2 & 29 \\& 3 & 33 \\& 4 & 18 \\1997 & 1 & 27 \\& 2 & 25 \\& 3 & 36 \\& 4 & 21 \\& 1 & 32 \\1998 & 2 & 36 \\& 3 & 39 \\& 4 & 30 \\\hline\end{array}$$ Compute the four-quarter centred moving averages.

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Definitions:

Student t

A probability distribution used in small-sample hypothesis testing and in constructing confidence intervals when the population standard deviation is unknown.

Number

An abstract concept representing a quantity or value used in counting, measuring, and calculations.

Degrees of Freedom

The amount of distinct values or measurements that can change during analysis without breaking any limitations.

Student t Distribution

A probability distribution used in statistics when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.