In a 'Mean of Differences' (paired) test, the sample mean difference is 0.3 percent, standard deviation of differences is 4.0 percent, and n=1200. What is the approximate t-statistic?
Explanation
t = Mean_Diff / (SD_Diff / sqrt(n)).
Other questions
Which of the following statements best describes the Null Hypothesis (H0)?
In a hypothesis test, what constitutes a Type I error?
If a hypothesis test is conducted at a 5 percent significance level, what is the probability of a Type I error?
How is the Power of a Test calculated?
Which test statistic is appropriate for testing a hypothesis about a single population mean when the population variance is unknown?
When testing the difference between two independent population means using the pooled variance method, what are the degrees of freedom?
What is the primary advantage of a paired comparison test (dependent samples) over a test of independent means?
Which probability distribution is used to test a hypothesis about a single population variance?
In a test of the difference between two variances, how is the F-statistic typically constructed?
If the p-value of a test is 0.03 and the level of significance is 0.05, what is the correct decision?
What is the relationship between the probability of a Type I error and the confidence level?
In a two-tailed test with a 5 percent significance level, where are the critical regions located?
Calculate the degrees of freedom for a single mean t-test with a sample size of 24.
You are testing if a fund's return is different from 1.2 percent. The sample mean is 1.4 percent, the hypothesized mean is 1.2 percent, the standard deviation is 3.8 percent, and the sample size is 24. What is the calculated t-statistic?
When calculating the pooled variance for two independent samples, what assumption is made?
For a test of difference between two means with sample sizes 400 and 500, what are the degrees of freedom?
Which of the following describes a 'False Negative' in hypothesis testing?
In a paired comparison test of returns for two indexes over 1200 days, what is the degrees of freedom?
If a researcher wants to prove that a fund's return is greater than the benchmark, how should the hypotheses be stated?
Calculate the Chi-Square statistic to test if the variance is 0.0016, given sample variance of 0.002 and sample size of 21.
What happens to the critical t-value as the sample size increases (holding significance level constant)?
For an F-test comparing two variances, variance A is 8 and variance B is 4. What is the F-statistic?
In the context of the F-test for variances, what determines the two degrees of freedom values?
Which test allows for checking if a population variance has changed after a specific event (e.g., regulation change)?
If a researcher decreases the significance level from 5 percent to 1 percent, what is the impact on Type I and Type II errors?
A test statistic falls into the rejection region. Which conclusion is correct?
When calculating the standard error for a difference of means test, what role does the pooled variance play?
A paired t-test results in a t-statistic of 2.598. The critical values are +/- 1.96. What is the conclusion?
Which of the following is true regarding the Chi-Square distribution used in variance testing?
In a one-tailed test checking if variance has increased, where is the rejection region located?
If the hypothesized mean difference in a paired test is zero, what are we testing for?
A calculated F-statistic is 0.8. What typically happens in this scenario during a manual calculation check?
Which step comes immediately after 'State the decision rule' in the hypothesis testing process?
What is the standard error of the sample mean calculated as?
If a confidence interval for a mean is [1.0, 1.4] and the hypothesized mean is 1.2, what is the hypothesis test conclusion at the corresponding significance level?
What does a p-value of 0.001 imply?
For a two-tailed t-test with 23 degrees of freedom and a 5 percent significance level, the critical value is approximately 2.069. If the t-stat is -2.5, what is the decision?
What implies that the 'Power of the test' has increased?
In a Chi-Square test for variance, if the test statistic is 22.54 and the critical value is 13.091 for a left-tailed test (less than), what is the decision?
What is the primary assumption for the 'Difference of Means' test using pooled variance?
If sample size n=50, what is the degrees of freedom for a Chi-Square variance test?
A researcher assumes that stock returns are normally distributed. This is an example of:
To test if two variances are different (two-tailed), which F-test critical values are needed?
If a test statistic is t = 4.76 and the critical value is 2.069, what is the outcome regarding the Null Hypothesis?
Why might a researcher choose a 1 percent significance level instead of 5 percent?
What does the 'Mean of Differences' test specifically analyze?
If degrees of freedom for the numerator is 120 and denominator is 60, which test is likely being performed?
Which of the following represents a non-directional test?
If a Null Hypothesis is 'Mean Returns = 0', which Alternative Hypothesis implies a two-tailed test?