Answer :
Final answer:
In statistical analysis, an event is considered 'unusual' if its probability is less than our chosen cutoff or significance level. In the case of this sample mean of less than 195, its associated probability of 0.0624 is not considered 'unusual' because it is greater than the established cutoff of 0.05.
Explanation:
The question pertains to the concept of statistical significance in mathematics, particularly as it is used to analyze sample means. The given probability for the sample mean to be less than 195 is 0.0624. Since the cutoff is 0.05, this implies that the sample mean of less than 195 would not be considered 'unusual'.
In the realm of statistics, we speak about the 'unusualness' of an event in terms of its probability. If an event's probability is less than the cutoff (our significance level), then we categorize that event as being 'unusual'.
To illustrate further, imagine we've taken a number of samples from a larger population. Approximately 95 percent of such samples would fall within two standard deviations from the population mean according to the Empirical Rule. This means that only 5 percent (or less, considering our cutoff of 0.05) of these samples would be considered 'unusual' or statistically significant.
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