Determine the upper-tail critical values of F in each of the following two-tail tests. a. a = 0.10, n, = 31, n = 11 b. a= 0.02, n, = 31, n2 = 11 c. a = 0.05, n, = 31, n, = 11 a. The critical value of F when a = 0.10. n, = 31, n, = 11 is. (Round to two decimal places as needed.) b. The critical value of F when a = 0.02, n, = 31, n, =11 is (Round to two decimal places as needed.) c. The critical value of F when a = 0.05, n, = 31, n, = 11 is (Round to two decimal places as needed.)
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- Grant, of Black by Dezign!, was trying the find the the critical values (t-scores) for the following. Alpha in the left tail is 2.5%, sample size is 27. α is 20% and the degrees of freedom are twenty-four. 0.5%, df= 19 and s = 28 years. (Right tail) α is 5% and the sample size is 10.Determine the appropriate critical value(s) for each of the following tests concerning the population mean: a. upper-tailed test: α=0.005; n=25; σ=5.0 b. lower-tailed test: α=0.025; n=28; s=9.0 c. two-tailed test: α=0.02; n=41; s=4.4 d. two-tailed test: α=0.05For a one-tailed test (lower tail) with n = 10 at 90% confidence (i.e. α = 0.10), the appropriate tα (critical value) is a. -1.383 b. 2.821 c. 1.383 d. -2.821
- Match each Test Situation with the correct Critical Value. For a two-sided test, find only the positive value. Test Situation One sample, n = 35, Ha:p≠p0 , and α= 0.001______ One sample, n = 45, Ha:p<p0, and α= 0.01_______ One sample, n = 61, Ha:p>p0, and α= 0.05_____ One sample, σσ is unknown, n = 57, Ha:μ<μ0, and α= 0.05_____ One sample, σ is unknown, n = 47, Ha:μ≠μ0, and α = 0.05___ One sample, σ is known, n = 175, Ha:μ≠μ0, and α= 0.05___ One sample, σ is unknown, n = 37, Ha:μ>μ0 and α = 0.01____ Critical Value 3.291 2.434 -1.673 1.645 2.013 -2.326 1.960Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given n = 11 at a significance level of 0.05. ±± 0.575 ±± 0.514 ±± 0.555 ±± 0.602For a special pre–New Year’s Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time. The reaction times (in seconds) before and after consuming four drinks are in data below. At the 0.005 level, has the program host made his point? Identify and interpret the p-value for the test. Data: Subject Before After 1 0.32 0.39 2 0.39 0.44 3 0.36 0.49 4 0.41 0.53 5 0.37 0.46 6 0.42 0.52 7 0.41 0.52 8 0.43 0.46 9 0.39 0.55 10 0.41 0.52 11 0.35 0.45 12 0.42 0.41 13 0.32 0.54 14 0.39 0.46 15 0.41 0.53 16 0.33 0.54 17 0.43 0.46 18 0.42 0.43 19 0.41 0.52 20 0.35 0.52 21 0.39 0.41 22 0.39 0.44 23 0.32 0.50 24 0.33 0.53 25 0.31 0.45 26 0.35 0.45 27 0.31 0.45 28 0.32 0.48 29 0.38 0.54 30 0.37 0.46 31 0.39 0.49 32 0.30 0.51 33 0.40 0.49 34 0.41 0.50 35 0.41 0.53 36 0.35 0.47 37 0.37 0.51 38 0.41 0.46
- with a=0.01 and the correct degrees of freedom (df) what is the critical value of the t statistic for a one-tailed test?Find the t value that forms the boundary of the critical region in the right-hand tail for a one-tailed test with a=.01 for each of the following sample sizes n=10 n=20 n=30In a test of H0:μ = 100 against H1:μ>100, a sample of size 80 producers z= 0.8 for the value of the test statistic. The P-value of the test is equal to?
- Assume that you have a sample of n1=8, with the sample mean X1=44, and a sample standard deviation of S1=5, and you have an independent sample of n2=14 from another population with a sample mean of X2=30 and the sample standard deviation S2=6. Using a significance level of α=0.025, what is the critical value for a one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2? The critical value is ______ (Round to two decimal places as needed.)If you let X1, X2, X3, X4 equal the cholesterol level of a woman under the age of 50, a man under 50, a woman 50 or older, and a man 50 or older, respectively. Assuming the distribution of Xi is N(μi, σ2), i = 1, 2, 3, 4 and you test the null hypothesis H0: μ1 = μ2 = μ3 = μ4, using seven observations of each Xi, what would be the critical region for an alpha = 0.05 significance level?A. For this test, what is the critical value of an a-level of 0.05?