Assume a test of the null hypothesis that requires a t-test (rather than a z-test). Sample...

Assume a test of the null hypothesis that requires a t-test (rather than a z-test). Sample size is 25 and alpha is .05. Which of the following would be appropriate critical t values for a 2-tailed test and a one-tailed test, respectively, of the null hypothesis?

Question 21 options:

+2.064, + 1.711

+2.064, +1.711

+2.064, + or - 1.711

Solutions

Expert Solution

We have given,

Sample size =n=25

Degree of freedom =n-1=25-1=24

+2.064, + or - 1.711

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A test of the null hypothesis H0: μ = μ0 gives test statistic z = −0.45....

A test of the null hypothesis H0: μ = μ0 gives test statistic z = −0.45. (Round your answers to four decimal places.) (a) What is the P-value if the alternative is Ha: μ > μ0? (b) What is the P-value if the alternative is Ha: μ < μ0? (c) What is the P-value if the alternative is Ha: μ ≠ μ0?

Decide and state whether a one-sample z test, a two- sample z test, or a t...

Decide and state whether a one-sample z test, a two- sample z test, or a t test is appropriate. Whichever test you choose, state your null hypothesis, then obtain a P -value and formulate a valid conclusion. 1a.) 20 subjects who do not speak German are asked to participate in a trial for a new type of crash course in the German language. 10 subjects are randomly placed in Group A, to test the new teaching method, while the other...

A random sample of size n is to be used to test the null hypothesis that...

A random sample of size n is to be used to test the null hypothesis that the parameter θ of an exponential population equals θ0 against the alternative that is does not equal θ0. (a) Find an expression for the likelihood ratio statistic. (b) Use the result in part (a) to show that the critical region of the likelihood ratio can be written as ye¯ −y/θ ¯ 0 ≤ K? .

A t statistic was used to conduct a test of the null hypothesis H0: µ =...

A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ≠ 11, with a p-value equal to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11? A 90% confidence level A 92% confidence level A 96% confidence level A 97% confidence level A 98% confidence level

The one-sample z-test and the one-sample t-test both test if a sample mean is representative of...

The one-sample z-test and the one-sample t-test both test if a sample mean is representative of a population. What is the difference between these two tests?

Consider the hypothesis test with null hypothesis μ1=μ2 and alternative hypothesis μ1 > μ2.Suppose that sample...

Consider the hypothesis test with null hypothesis μ1=μ2 and alternative hypothesis μ1 > μ2.Suppose that sample sizes n1 = 10 and n2 =10, that the sample means are 4.9 and 2.8 respectively, and that the sample variances are 2 and 3 respectively. Assume that the population variances are equal and that the data are drawn from normal distributions. a) Test the hypothesis that at α= 0.05 and provide a conclusion statement b) Provide an adequate confidence interval with 95% confidence...

find the critical t value used to test a null hypothesis if a=0.05 for a two...

find the critical t value used to test a null hypothesis if a=0.05 for a two tailed test with 12 degrees of freedom

3. Test the null hypothesis that the mean rating of Trump by profs is greater than...

3. Test the null hypothesis that the mean rating of Trump by profs is greater than or equal to the mean rating of Trump by students. Use .10 significance level, a one tail test and the following data: sample profs students Mean 21 25 Variance 48 45 number 16 9

What is meant by a “null” hypothesis? How do you test a null hypothesis?

Use a t-test to test the null hypothesis H0: µX = µY against the two-sided alternative...

Use a t-test to test the null hypothesis H0: µX = µY against the two-sided alternative Ha: µX ≠ µY. Use R program (a) Generate 30 values from X ~ N (µX = 10, σX = 4) and 30 values from Y ~ N (µY = 10, σY = 4). . Use a t-test to test the hypotheses given above. (b) Include a comment in your code that identifies the p-value and clearly state the conclusion of the test in...

Subjects