10 Questions
What is the primary purpose of comparing variances or standard deviations using the F-test?
To test whether two methods differ in their precision or to compare the random errors/variability of two sets of data
What is the assumption underlying the F-test?
The populations from which the samples are taken are normal
What is the decision in the F-test example if the test statistic is less than the critical value?
We accept the null hypothesis (H0) that the population variances are equal
How many determinations were made for each method in the example?
10
What is the formula for the F-test statistic?
F = $\frac{s1^2}{s2^2}$
What is the assumption of the F-test when comparing the variances of two methods?
The larger variance should always go in the numerator to force the test into a right-tailed test.
What is the purpose of squaring the standard deviations when given in an F-test problem?
To get the variances.
What is the next step after calculating the F-value in the F-test?
Find the degrees of freedom and look up the critical value in the F-table.
What is the conclusion when the calculated F-value is greater than the critical value in the F-test?
The null hypothesis is rejected.
What is the purpose of comparing the means of two methods using the independent t-test?
To test whether the two means differ significantly or not.
This quiz covers the application of the F-test in comparing the variances and standard deviations of two sets of data, including testing for precision and differences in precision between two methods. It includes an example problem involving the determination of boron in plant samples using spectrophotometry and another method.
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