Question

In: Statistics and Probability

state the critical values for a two-independent same t-test given the following conditions: a. two-tailed test...

state the critical values for a two-independent same t-test given the following conditions:

a. two-tailed test a=.01, total df=26

b. one-tailed test, lower tail critical a=.01,df=15 for each group

c. two- tailed test, a=.05, n=12 in each group

d.one-tailed test, upper tail critical, a=.05 n for both groups combined is 30

Solutions

Expert Solution

a) For 26 degrees of freedom, we get from the t distribution tables:

P( t26 < 2.779) = 0.995

Therefore, P( -2.779 < t26 < 2.779) = 0.99

Therefore -2.779, 2.779 are the critical values here.

b) For a one tailed test, for 15 degrees of freedom, we get from the t distribution tables:

P( t15 < -2.602 ) = 0.01

Therefore -2.602 is the required critical t value here.

c) For n - 1 = 11 degrees of freedom, we get from the t distribution tables that:
P( t11 < 2.201) = 0.975

Therefore -2.201, 2.201 are the required critical values here.

d) For n - 2 = 28 degrees of freedom, we get from the t distribution tables:

P( t28 < 1.701) = 0.95

Therefore 1.701 is the required critical value here.


Related Solutions

Find the t-critical values (tcrit) that form the rejection region for a two-tailed test with α...
Find the t-critical values (tcrit) that form the rejection region for a two-tailed test with α = .05 for each of the following sample sizes. a. N = 10 ________2.262____________ b. N = 17 _________2.120___________ c. N = 27 _________2.056____________
1a For the following degrees of freedom, list the critical values for a two-tailed test at...
1a For the following degrees of freedom, list the critical values for a two-tailed test at a .01, .05, and .10 level of significance.                                         .01           .05           .10                           df = 8               ___          ___          ___                         df = 20             ___          ___          ___                         df = 40             ___          ___          ___                         df = 120   ___          ___          ___ b. As the level of significance increases (from .01 to .10), does the critical value increase or decrease? c. As the degrees of freedom...
Identify the critical z values and the rejection region of the following: a) Right-tailed test with...
Identify the critical z values and the rejection region of the following: a) Right-tailed test with a = 0.05 b) Left-tailed test with a = 0.025 c) Two-tailed test with a = 0.01 d) a = 0.10 with HA : p < 0.26
1. Identify the correct critical value for tin a two sample (independent), two-tailed test with 30...
1. Identify the correct critical value for tin a two sample (independent), two-tailed test with 30 degrees of freedom at a .05level of significance. 2. Identify the correct critical value for tin a two sample (independent), one-tailed test with 40 degrees of freedom at a .01level of significance. 3. The level of significance (a) represents the probability of making a(n) _____________. 4.A Type I error can be described as   .
Using the z table, determine the critical values for a two-tailed test when α = 0.03....
Using the z table, determine the critical values for a two-tailed test when α = 0.03. A)±2.17B)±0.06C)±0.18D)±1.88
Given a result of t (40) = 1.90 for a two-tailed paired samples t-test, answer the...
Given a result of t (40) = 1.90 for a two-tailed paired samples t-test, answer the following: 10) What is the sample size? 11) What is the tcv? 12) What is the tobt? 13) What should the researcher conclude (accept or reject the null)?
Determine the critical values for these tests of a population standard deviation. ​(a) A​ right-tailed test...
Determine the critical values for these tests of a population standard deviation. ​(a) A​ right-tailed test with 17 degrees of freedom at the α equals = 0.1 level of significance ​(b) A​ left-tailed test for a sample of size n equals = 28 at the alpha α = 0.01 level of significance ​(c) A​ two-tailed test for a sample of size n = 22 at the alpha α = 0.1 level of significance
Determine the upper tail critical values of F in each of the following two-tailed tests: a....
Determine the upper tail critical values of F in each of the following two-tailed tests: a. The critical value of F when α = 0.005​, n1 = 16​, and n2 = 10 is ​(Round to two decimal places as​ needed.) b. The critical value of F when α = 0.05​, n1=16​, and n2 = 10 is ​(Round to two decimal places as​ needed.)
Use a two-tailed independent sample t-test to answer this question. A new drug is being tested...
Use a two-tailed independent sample t-test to answer this question. A new drug is being tested to see if it reduces the number of backaches. Do these samples of number of monthly backaches from eight volunteers who are taking the drug and eight who are not taking the drug show a significant reduction in the mean number of monthly backaches (α= 0.05)? Identify the hypothesis statements, test statistic, p-value, and your decision. Also, construct and report the 95% confidence interval...
Determine the critical values for these tests of a population standard deviation. ​1.A​ right-tailed test with...
Determine the critical values for these tests of a population standard deviation. ​1.A​ right-tailed test with 19 degrees of freedom at the a=0.1 level of significance ​2. A​ left-tailed test for a sample of size n= 23 at the a= 0.01 level of significance ​2. A​ two-tailed test for a sample of size n= 30 at the a=0.01 level of significance
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT