Find the critical value (t- value) that form the boundaries of the critical region for a two-tailed test with a = 0.05 for a sample size of n1 = 11 & n2 = 8.
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- Find the t values that form the boundaries of the critical region for a two-tailed test with a = 0.10 for a sample size of ni = 10 & n2 = 12For small sample estimation, the t- value is obtained by using the alpha level andA random sample of size n = 19 observations was drawn from a normal population with variance o? = 3.1. The sample mean was = 22.5. The researcher's interest was to defend that the population mean u > 25. What is the critical region (aka rejection region) for the test a = 0.05? Drawing a picture may be helpful. Draw your conclusion. Calculate the power of the test when the alternative value for u = 27.
- Find the t values that form the boundaries of the critical region for a two-tailed test with α = 0.05 for a sample size of 12.A sample of 3 measurements are taken and recorded: x=7, y=10 and z=8 The sample mean is: x¯=x+y+z3=8.33 Fill in the table below. ai (ai−x¯)2 x y z s2=(x−x¯)2+(y−x¯)2+(z−x¯)22= s=(x−x¯)2+(y−x¯)2+(z−x¯)22=sample of n = 4 scores is selected from a population with μ = 100 and s = 20. If the sample mean is M =110, what is the z-score for this sample mean?
- Find the t-value that form the boundaries of the critical region for a two-tailed test with a= 0.01 and a sample size of 25.Find the z-score that defines α=0 .05 and α=.01 critical regions for a one-tail test? 8. Find the z-score that defines α=0 .05 and α=.01 critical regions for a two-tail test?Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n,. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). H3: H, + µ2, a = 0.05, n, = 13, n, = 11 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Enter vour answer in each of the answer boxes.
- What is the kurtosis for the distribution of scores with a mean of 9.02 and a mode of 3?A hypothesis test was being done and the hypothesis set up was Ho: p=.35 vs Ha: p<.35 The Z test statistic came out toz=−2.05z=-2.05 ALSOillustrate the region your are finding on a normal curve on your paper.The t values that define the critical region for a two-tailed independent samples t test using a = 0.05 with sample sizes of n= 17 and n = 8 are t= +2.060. True or False