Suppose that, for a t test, your computed value for t is +3.28. The critical value of t is +2.048. Explain what this means. Do you reject the null hypothesis or not? Now suppose that you have 28 degrees of freedom and are using a two-tailed (nondirectional) test. Draw a simple figure to illustrate the relationship between the critical and the computed values of t for this result.

Solution Summary

This solution is comprised of a detailed explanation of calculating critical and test statistics for a T Test. In this solution, step-by-step explanation of this complicated topic provides students with a clear perspective of calculating critical and test statistics for a T Test.

1. Outline the difference between the t testfor independent groups and the t testfor matched groups.
2. A researcher computed the F ratio for a four-group experiment.The computed F is 4.86. The degrees of freedom are 3 for the numerator and 16 for the denominator.
a. Is the computed value of f significant at p <.05? Exp

A paired difference experiment produced the following results
a) Determine the values of z for which the null hypothesis, m1 -m2 = 0, would be rejected in favor of the alternative hypothesis, m1 - m2 < 0. Use a = 0.10
b) Conduct the paired difference test described in part a. Draw the appropriate conclusions.
c) What assump

If the criticalvaluesfor a statistical test are 1.96 and 1.96, determine if you would reject or fail to reject the
null hypothesis in each of the following cases:
a. z 1.06
b. z 2.06
c. A z score beyond which 7% of the data fall in each tail

Test H0: pi1- pi2 <=0, HA: pi1- pi2 > 0 at alpha =.05 and 0.10 where p1=.08, p2=.05, n1 = 200 and n2 = 400. Indicate which test you are performing; show the test statistic and the criticalvalues, and mention whether the test is one-tailed or two-tailed.
Note that pi stands for the Greek letter representing population proport

A correlation coefficient computedfor n=18 and a=0.10 is r=0.692. . Using the t -testfor the correlation coefficient, what are the criticalvalues?
A) +1.734 B) +2.120 C) +1.746 D) +2.101

Suppose that a company claims that their mean weekly sales are $12,250. A random sample 35 weeks yields a sample mean of with a sample standard deviation of s=$1250.
H0: m = 12,250
H1: m # 12,250
Find the criticalvaluesfor the hypothesis test. Assume that the significance level is a=0.05.
Answer: ______________

Please see the attached file for the fully formatted problem.
Find the critical points and use your test of choice to give local maximum and minimum values. Give those values.
f(x) = x^2 /sqrt(x^2 + 4)

Determine the critical region andcriticalvaluesfor z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
Ho: mean less than or = to 82 and Ha:mean is greater than 82, a=0.10
Ho: mean=44 and Ha:mean is not equal to 44, a =0.01
Ho: mean greater t

In a 1999 survey, 55 of 100 randomly selected companies reported Internet sales. In a 2000 survey, 63 of 100 randomly selected companies reported Internet sales. For the alternative hypothesis HA: π1 ≠ π2 at level of significance 0.10, what is the value for the unknown population proportion, the criticalvalues,