When using Appendix D Panel C for a right-tail area of 0.01, why must you specify both numerator and denominator degrees of freedom?
Explanation
The F-distribution is indexed by both numerator and denominator degrees of freedom; Appendix D is structured accordingly.
Other questions
Using the standard normal table (Appendix A), what is the cumulative probability P(Z <= 1.28) approximately?
If you need the two-tailed 5 percent critical z value, which z should you use from Appendix A?
What cumulative probability P(Z <= -1.96) is shown in Appendix A for negative z?
For a one-tailed t-test at alpha = 0.05 with df = 10, what critical t-value does Appendix B provide (one-tailed)?
If you run a two-tailed t-test with alpha = 0.01 and df = 20, which t critical should you use (read from Appendix B one-tailed table)?
Which statement correctly describes the relationship between t critical values and degrees of freedom as shown in Appendix B?
Appendix C provides chi-square critical values. For df = 10 and right-tail probability 0.05, which chi-square value is listed?
You want a 99 percent confidence interval for a variance estimate using a chi-square table. Which right-tail probabilities from Appendix C would you use to find the interval endpoints?
For an F-test comparing two variances with numerator df1 = 3 and denominator df2 = 10 at right-tail alpha = 0.05, what F critical value does Appendix D (Panel A) give approximately?
Which Appendix would you consult to test whether residuals from an OLS regression are positively autocorrelated at alpha = 0.05?
If you have n = 30 observations and K = 2 slope parameters in the regression, what are the Durbin-Watson dl and du approximately (Appendix E)?
Suppose your computed Durbin-Watson statistic is d = 1.20 and for your model n = 25 and K = 3 Appendix E gives dl = 1.12 and du = 1.55. What conclusion about positive serial correlation is appropriate?
From Appendix B, what is the one-tailed t-value for df = 1 at p = 0.01?
You plan a two-tailed t-test at alpha = 0.10 with df = 15. Which one-tailed p should you look up in Appendix B and what t critical will you find approximately?
Appendix C lists chi-square values. If you need the 95 percent lower critical value (i.e., left-tail 0.05) for df = 5, which right-tail entry should you use from the table?
Which appendix would you use to find the critical value for an ANOVA F-test with df1 = 2, df2 = 30 at alpha = 0.05?
Using Appendix D Panel A, if df1 = 1 and df2 = 120, what is the approximate F critical value at right-tail alpha = 0.05?
Appendix E lists Durbin-Watson critical values for alpha = .05. If K = 4 and n = 40, what are the approximate dl and du?
When constructing a 95 percent prediction interval for a mean using z-critical values, which appendix provides the appropriate z quantile?
If a researcher has sample size n = 60 and wants a two-tailed t critical for alpha = 0.05, which Appendix B value is most appropriate to use in place of z?
From Appendix C, what is the chi-square critical value for df = 1 at right-tail 0.95 (i.e., lower 0.05)?
You need an F critical value for a two-sided variance comparison test. If you plan to use Appendix D Panel B for right-tail area 0.025, how do you adjust for a two-sided test?
Appendix B lists a t critical of approximately 2.228 for df = 10 at p = 0.025 one-tailed. For a two-tailed test at alpha = 0.05 with df = 10, which critical should be used?
If Appendix A shows P(Z <= 2.33) ≈ 0.9901, what one-sided tail probability does that correspond to?
Which appendix is most appropriate to determine the critical value for testing whether observed categorical counts fit expected proportions?
You have two samples: sample variance s1^2 from sample size n1 = 12 and s2^2 from n2 = 15. To test equality of variances at alpha = 0.05 using an F-test, which table and which df pair do you consult in Appendix D Panel A?
From Appendix B, what is t(30, 0.01 one-tailed) approximately as df grows large: does it approach a specific z value and which?
For a chi-square test with df = 20 and right-tail alpha = 0.05, which critical value does Appendix C show approximately?
Appendix D Panel A shows F criticals for right-tail 0.05. If df1 = 5 and df2 = 6, what is the approximate critical value?
Which appendix would you consult to find the critical t value to use when the population standard deviation is unknown and n = 9 for a two-tailed 10 percent test?
Appendix A gives cumulative probabilities. If P(Z <= 0.00) = 0.5000, what is the two-sided p-value for observing z = 0.00 in a two-tailed z-test?
From Appendix D Panel A, the table shows an F critical of 4.96 for df1 = 10 and df2 = 3 at alpha = 0.05. Which statement is correct about this reading?
Which appendix would be most helpful when calculating a confidence interval for a normally distributed population mean when the population variance is known?
You have a sample variance s^2 from n = 16 observations and want a 95 percent CI for population variance. Which chi-square values from Appendix C should you use for the denominators?
Appendix E gives Durbin-Watson critical values for K up to 5. If your regression has K = 5 and n = 25, what approximate dl and du values do you use to test for positive autocorrelation?
Which appendix and value would you use to find the critical z-value for a one-tailed 2.5 percent significance test?
For sample sizes that are very large, which limiting values in the appendices are most relevant when using critical value tables?
Appendix D provides F criticals for multiple right-tail areas. If your application requires a right-tail area of 0.005, which panel should you consult?
If you require the critical F value for df1=1 and df2=3 at right-tail area 0.05, what numerical result does Appendix D give and what does it represent?
If Appendix C gives chi-square at df = 3 and right-tail 0.05 as 7.815, what implication does that have for a variance test with n = 4 at alpha = 0.05?
When reading Appendix A for P(Z <= 2.50), which cumulative probability is closest to the table value?
Appendix B shows t(5, 0.025 one-tailed) approx 2.571. For a two-tailed test at alpha = 0.05 with df = 5, what decision rule uses this number?
If Appendix D Panel A shows F(2,20,0.05) ≈ 3.49 and your computed F = 4.00, what is the inference at alpha = 0.05?
Which appendix table would be used to compute a confidence interval for a population standard deviation based on sample variance and which values are needed?
If Appendix B lists t(30,0.10 one-tailed) = 1.310, what is the appropriate use of this in hypothesis testing?
From Appendix A, what is the z value corresponding to cumulative probability 0.9750, and how is it typically used?
If you have an F statistic with df1 = 4 and df2 = 24 and you need the right-tail 0.025 critical value, which panel in Appendix D should you consult and what approximate value would you expect?
Appendix E lists Durbin-Watson bounds for alpha = 0.05. If K = 1 and n = 50, what dl and du are approximately provided?
Which of the following best describes how to use Appendix A and Appendix B together when constructing a 95 percent confidence interval for a mean when population variance is unknown and sample size is small?