A Sample of 6 Measurements, Randomly Selected from a Normally $\bar { x } = 9.1 , \mathrm {~s} = 1.5$

question 131

Essay

A sample of 6 measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: $\bar { x } = 9.1 , \mathrm {~s} = 1.5$ . Test the null hypothesis that the mean of the population is 10 against the alternative hypothesis $\mu < 10$ . Use $\alpha = .05$ .

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Definitions:

Chi-squared Curve

Describes the distribution of a chi-squared statistic, used in hypothesis testing to determine how well observed data fit with expected data.

Degrees of Freedom

The number of independent values or quantities that can vary in the analysis without violating any constraints.

F Distribution

A probability distribution used in statistics to compare variances among samples, often employed in the analysis of variance (ANOVA).

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution or calculation.