TABLE 18-8
Recently, a University Switched to a New Type

question 70

True/False

TABLE 18-8
Recently, a university switched to a new type of computer-based registration. The registrar is concerned with the amount of time students are spending on the computer registering under the new system. She decides to randomly select 8 students on each of the 12 days of the registration and determine the time each spends on the computer registering. The range, mean, and standard deviation of the times required to register are in the table that follows.
$$\begin{array} { c c l l } \text { Day } & \text { Range } & \text { Mean } & \text { Std.Dev. } \\1 & 10 & 5.250 & 3.4949 \\2 & 31 & 15.250 & 10.3060 \\3 & 13 & 20.375 & 4.9262 \\4 & 21 & 22.875 & 8.3911 \\5 & 35 & 8.500 & 11.3767 \\6 & 18 & 7.875 & 6.9372 \\7 & 25 & 11.250 & 8.5815 \\8 & 30 & 7.875 & 9.5235 \\9 & 17 & 10.250 & 6.3640 \\10 & 22 & 9.500 & 7.8740 \\11 & 27 & 7.875 & 8.7086 \\12 & 26 & 12.875 & 9.3723\end{array}$$
-Referring to Table 18-8, based on the R chart, it appears that the process is out of control.

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Definitions:

Prior Probabilities

The probabilities assigned to events or hypotheses before any relevant evidence is taken into account, in the context of Bayesian statistics.

Posterior Probabilities

The probabilities updated in light of new evidence, reflecting the likelihood of events after taking into account the known data.

Prior Probabilities

The probabilities of events based on prior knowledge before any new evidence is considered.

Likelihood Probabilities

The probabilities that quantify the plausibility of different parameter values for a statistical model given the observed data.