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?
Explanation
For small samples and unknown population variance, the correct procedure is to use t critical values from Appendix B with df = n-1; z from Appendix A is used when sigma known or sample large.
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?
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?
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?