A Random Sample of 10 Waitresses in Darwin Revealed the Following

question 54

Short Answer

A random sample of 10 waitresses in Darwin revealed the following hourly earnings (in dollars, including tips): $\begin{array}{|r|r|r|r|r|r|r|r|r|r|}\hline19&18&15&16&18&17&16&18&20&14\\\hline\end{array}$ If the hourly earnings are normally distributed with a standard deviation of $4.5, estimate with 95% confidence the mean hourly earnings for all waitresses in Darwin.

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Definitions:

Statistically Significant

A determination that the observed difference or relationship in a statistic is not likely due to chance alone, according to a pre-specified threshold of significance.

Confidence Interval

A range of values derived from sample statistics that is likely to contain the true value of an unknown population parameter.

Null Hypothesis

In statistics, a hypothesis that proposes no significant difference or effect; the hypothesis that a researcher tries to disprove.

Alpha Level

The threshold of significance in hypothesis testing, representing the probability of making a Type I error.