Twenty students were recruited to take part in a writing study. The 10 students randomly assigned to an expressive writing group wrote about their thoughts and feelings associated with their most traumatic life events. The 10 students randomly assigned to the control group wrote about their plans for the day. One month later, all the students rated their overall level of physical health on a scale from 0 = very poor health to 100 = perfect health. The researchers were interested in whether there was a positive or a negative health effect of expressive writing. Thus, the research hypothesis was that Population 1 students would rate their health differently than Population 2 students. The null hypothesis was that Population 1 students would rate their health the same as Population 2 students. Conduct a hypothesis test at the .05 level using the data below. What would you conclude? Show all steps and calculations. Expressive Writing Group Mean = 79 n1 = 10 S² = 94.44 Control Group Mean = 68 n2 = 10 S² = 111.33
Added by Leslie L.
Close
Step 1
The research hypothesis is that the expressive writing group (Population 1) would rate their health differently than the control group (Population 2). The null hypothesis is that there is no difference in health ratings between the two groups. Show moreā¦
Show all steps
Your feedback will help us improve your experience
Adi S and 92 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A researcher is testing the effect of a new cold and flu medication on mental alertness. A sample of n = 9 college students is obtained, and each student is given the normal dose of the medicine. Thirty minutes later, each student's performance is measured on a video game that requires careful attention and quick decision making. The scores for the nine students are as follows: 6, 8, 10, 6, 7, 13, 5, 5, 3. A. Assuming that scores for students in the regular population average μ = 10, are the data sufficient to conclude that the medication has a significant effect on mental performance? Test at the 0.05 level of significance. M = 7 SS = 72 s² = SM = 1 tcritical = tcalculated = Decision = B. Compute r2, the percentage of variance explained by the treatment effect. r2 = C. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would be presented in a research report.
Dominador T.
A researcher is testing the effect of a new cold and flu medication on mental alertness. A sample of n = 9 college students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each studentās performance is measured on a video game that requires careful attention and quick decision making. The scores for the nine students are as follows: 6, 8, 10, 6, 7, 13, 5, 5, 3. a. Assuming that scores for students in the regular population average μ = 10, are the data sufficient to conclude that the medication has a significant effect on mental performance? Test at the .05 level of significance. b. Compute r², the percentage of variance explained by the treatment effect. c. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would be presented in a research report.
Rabia S.
A social psychologist studying mass communication randomly assigned 82 volunteers to one of two experimental groups. 55 were instructed to get their news for a month only from television, and 27 were instructed to get their news for a month only from the Internet. After the month was up, all participants were tested on their knowledge of several political issues. The researcher simply predicted that there is some kind of difference. These were the results of the study. TV group: M equals 23, S^2 = 6; Internet group: M equals 25, S^2 = 7. Using the 0.01 level, what should the social psychologist conclude? Complete parts (a) through (c) below. (a) Use the steps of hypothesis testing. Restate the question as a research hypothesis and a null hypothesis about the populations. There are two populations of interest as shown below. Population 1: People who get their news from TV. Population 2: People who get their news from the Internet. Determine the cutoff score(s) on the comparison distribution for the t-test.
Sheryl E.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD