Researchers wanted to see if a certain image in ads affected people's ability to remember the item being advertised. They found two ads for each of 10 similar items, one with the image and one without. Then they showed the ads in random order to 39 randomly selected people for one minute and asked them to list as many of the items as they could, with the accompanying results for the number of items remembered. Is there evidence that the image mattered? Use ? = 0.05. Click the icon to view the table of items remembered. Are all the appropriate conditions and assumptions satisfied? Select all that apply. ? A. Yes, all the conditions are definitely satisfied. ? B. No, it is impossible to determine if the Independence Assumption is satisfied. ? C. No, the Paired Data Condition is not satisfied. ? D. No, the Independence Assumption is definitely not satisfied. ? E. No, the Nearly Normal Condition is definitely not satisfied. ? F. No, it is impossible to determine if the Nearly Normal Condition is satisfied. What are the null and alternative hypotheses? ? A. H?: ?_D = 0 H_A: ?_D < 0 ? B. H?: ?_D = 0 H_A: ?_D > 0 ? C. H?: ?_D = 0 H_A: ?_D ? 0 ? D. H?: ?_D ? 0 H_A: ?_D = 0 What is the test statistic? Use No image - Image as the difference. t = [ ] (Round to two decimal places as needed.) What is the P-value? Items Remembered Subject Number | Image | No Image || Subject Number | Image | No Image 1 | 2 | 2 || 21 | 2 | 3 2 | 6 | 7 || 22 | 4 | 2 3 | 3 | 1 || 23 | 3 | 3 4 | 6 | 5 || 24 | 5 | 3 5 | 1 | 0 || 25 | 4 | 5 6 | 3 | 3 || 26 | 2 | 5 7 | 3 | 5 || 27 | 2 | 2 8 | 7 | 4 || 28 | 2 | 4 9 | 3 | 7 || 29 | 7 | 5 10 | 5 | 4 || 30 | 6 | 7 11 | 1 | 3 || 31 | 4 | 3 12 | 3 | 2 || 32 | 4 | 5 13 | 6 | 3 || 33 | 3 | 0 14 | 7 | 4 || 34 | 4 | 3 15 | 3 | 2 || 35 | 2 | 3 16 | 7 | 4 || 36 | 3 | 3 17 | 4 | 4 || 37 | 5 | 5 18 | 1 | 3 || 38 | 3 | 4 19 | 5 | 5 || 39 | 4 | 3 20 | 2 | 2 || | |
Added by Aarelan H.
Close
Step 1
This is a hypothesis testing problem where we compare two sets of data: the number of items remembered with an image versus without an image. Show more…
Show all steps
Your feedback will help us improve your experience
Danielle Fairburn and 82 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
Taha T.
Quarters are currently minted with weights normally distributed and having a standard deviation of 0.061. New equipment is being tested in an attempt to improve quality by reducing variation. A simple random sample of 27 quarters obtained from those manufactured using the new equipment has a standard deviation of 0.041. Use a significance level of 0.05 to test the claim that quarters manufactured with the new equipment have weights less than 0.061. Write the claim mathematically and identify H0 and Ha: H0: μ ≥ 0.061 (Claim) Ha: μ < 0.061 (Claim) Find the critical value(s): (Use comma separated answers if needed. Round to three decimal places if needed.) Identify the rejection region(s): Use the t-test to find the standardized test statistic, t = (x̄ - μ) / (s / √n) Round to three decimal places if needed. (d) Decide whether to reject or fail to reject the null hypothesis: Reject the null hypothesis if the test statistic falls in the rejection region. Fail to reject the null hypothesis if the test statistic does not fall in the rejection region. Interpret the decision in the context of the original claim: Since the null hypothesis is rejected, the new equipment appears to be more effective in reducing the weight variation of the quarters.
Madhur L.
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 22.7 with a standard deviation of 3.9, while the 200 students in group 2 had a mean score of 17.4 with a standard deviation of 4. Complete parts (a) and (b) below. (a) Determine the 90% confidence interval for the difference in scores, mu 1 minus mu 2. Interpret the interval. The lower bound is nothing. The upper bound is nothing. (b) What does this say about priming?
Shaiju T.
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