Question

Two researchers (A and B) compute a one-sample t test. For both tests, the mean difference...

Two researchers (A and B) compute a one-sample t test. For both tests, the mean difference between the sample and value stated in the null hypothesis is 5, but the standard error is smaller for Researcher A. Which test is more likely to result in a decision to reject the null hypothesis?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Researcher A. test is more likely to result in a decision to reject the null hypothesis

Explanation:

Let

the standard error for Researcher A.= x

the standard error for Researcher B.= y

Given:

X < y

Also given:

= 5

So,

Test Statistic for Researcher A.is given by:

Test Statistic for Researcher B.is given by:

Since x< y, we note:

The hypothesis is rejected if t > tcrit

Since is greater of the 2 test statistics, we conclude that Researcher A. test is more likely to result in a decision to reject the null hypothesis

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1.- A researcher obtains t = 2.25 for a repeated-measures study using a sample of n...
1.- A researcher obtains t = 2.25 for a repeated-measures study using a sample of n = 10 participants. Based on this t value, what is the correct decision for a two-tailed test? a. ​Reject the null hypothesis with α = .05 but not with α = .01 b. ​Reject the null hypothesis with both α = .05 and α = .01 c. ​Fail to reject the null hypothesis with both α = .05 and α = .01 d. ​Cannot...
A group of researchers wants to examine whether taking multiple practice quizzes improve scores on tests....
A group of researchers wants to examine whether taking multiple practice quizzes improve scores on tests. They compare the exam scores for a sample of n1 = 12 students who took multiple practice quizzes with the test scores of a sample of n2 = 10 students who did not do any practice quizzes. Results of the study revealed that the practice quiz group had M1 = 95, SS1 = 52. The no quiz group had M2 = 92, SS2 =...
To test the effectiveness of a studying program, participants are randomly assigned to either the control...
To test the effectiveness of a studying program, participants are randomly assigned to either the control group or the treatment group (N=10 for each). At the end of the trials, the average test score increase in the control group is 3.5 points (s=0.7) and the treatment group increased 1.9 (s=1.1). Test the null hypothesis that there is no difference in test score improvement between the treatment and control groups (alpha = 0.05). For independent sample t-tests: mean values for each...
A researcher conducts two t tests. Test 1 is a one-tailed test with a smaller sample...
A researcher conducts two t tests. Test 1 is a one-tailed test with a smaller sample size at a .05 level of significance. Test 2 is a one-tailed test with a larger sample size at a .05 level of significance. What do you know about the critical values for each test?
One sample has n = 20 with SS = 1640, and a second sample has n...
One sample has n = 20 with SS = 1640, and a second sample has n = 15 with SS = 1724. (a) Find the pooled variance for the two samples. (Use 3 decimal places.) (b) Compute the estimated standard error for the sample mean difference. (Use 3 decimal places.) (c) If the sample mean difference (M1 - M2) is 6 points, is this enough to reject the null hypothesis and conclude that there is a significant difference for a...
A t statistic is like a ___________ statistic in that both are: (sample mean - null...
A t statistic is like a ___________ statistic in that both are: (sample mean - null hypothesis population mean)/(Standard error of the mean) The only difference is that the t uses the __________ standard error while the z requires that the standard error is __________________. From the list: z, estimated, known, p, u, or standardized
1a. Given: mean difference between men and women = 2.2; standard error of mean difference =...
1a. Given: mean difference between men and women = 2.2; standard error of mean difference = 0.8; n men = 61, n women = 61. Test the following null hypothesis at a=.05 Ho: u men = u women Ha: u men > u women You need to compute the t statistic, look up t critical value and make decision including likelihood of appropriate error. You don't have to compute the standard error of mean difference because it's given. 1b. Compute...
A random sample of 49 measurements from one population had a sample mean of 16, with...
A random sample of 49 measurements from one population had a sample mean of 16, with sample standard deviation 3. An independent random sample of 64 measurements from a second population had a sample mean of 18, with sample standard deviation 4. Test the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known...
P_1 A sample of n = 15 produces a single sample t statistic of t =...
P_1 A sample of n = 15 produces a single sample t statistic of t = - 2.12. If the researcher is using a two-tailed test for hypotheses testing, which of the following is the correct statistical decision? A. The researcher can reject the null hypothesis with α = .05 but not with α = .01. B. The researcher can reject the null hypothesis with either α = .05 or α = .01. C. It is impossible to make a...
One sample has n = 18 with SS = 5,471, and a second sample has n...
One sample has n = 18 with SS = 5,471, and a second sample has n = 18 with SS = = 5,545. Find the pooled variance for the two samples. S2p = ________ Compute the estimated standard error for the sample mean difference. S(m1-m2) = ___________ If the sample mean difference is 12.00 points, is this enough to reject the null hypothesis and conclude that there is a significant difference for a two-tailed test at the .05 level? (Use...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT