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A local athletic facility offers a four-week training course, hoping to increase athletes’ running speeds. Thirty-five volunteer athletes are timed, in seconds, running a 50-yard dash before the training program begins and then again after the program is complete. The difference in running times (before training – after training) is calculated for each athlete. Are the conditions for inference met?
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- Caden then performs a significance test. First, he performs 100 simulations. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 10. In the simulations, group A plays the role of the treatment group and group B plays the role of the control group. After each simulation, he subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram. 30 28 26 24 22 12 10 6. 2 Group A avg. - Group B avg. In the original experiment, the average for the treatment group was 0.8 higher than the average for the control group. Based on the 100 simulations, are the results of the experiment significant at the 5% level? yes no Number of simulations [-2.7, -2.2) [-2.2, -1.7) [-1.7, -1.2) [-1.2, -0.7) [-0.7, -0.2) [-0.2, 0.3) [0.3, 0.8) [0.8, 1.3) [1.3, 1.8) [1.8, 2.3) [2.3, 2.8)only need help with the questions in the second picture attached.Do people feel hungrier after sampling a healthy snack? Researchers randomly assign volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but there told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger on a scale from 1 (not at all hungy) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. Healthy Tasty No Snack 8 3 3 7 1 3 7 3 5 4 2 6 5 6 5 a. Perform a complete one-way ANOVA hypothesis test. Test at the .05 level of significance.
- According to YCharts in 2018, the unemployment rate for 15- to 24-year-olds in British Columbia was reported to be 9.4% for July, 2018 specifically. Suppose that this report was based on a random sample of four hundred 15- to 24-year-olds. A political campaign manager wants to know if the sample results can be used to conclude that the unemployment rate for 15- to 24-year-old British Columbians is significantly higher than the unemployment rate for all adults in British Columbia based on a significance level α=0.05 α=0.05. According to the Statistics Canada, the unemployment rate for all adults in British Columbia was 5.0% in July 2018. State the hypotheses. Calculate the test statistic. Use Excel to find the p-value. Hint: Use NORM.DIST. What is your hypothesis test decision? What is your conclusion in the context of the application?Micah is interested in testing whether college students' levels of gratitude change over the course of the semester. He randomly selects a sample of 100 students and assesses their levels of gratitude at the beginning, and end of the semester. Question 17 options: ANOVA Paired samples t test Independent samples t test CorrelationTextbook question for practise - A behavioural psychologist has developed a cognitive-behavioural therapy (CBT) technique modified from classic systematic desensitization to reduce her patients’ phobia of spiders. She decides to test the effectiveness of her new therapy approach by selecting ten patients at random to undergo the treatment for 3 months. The patients were asked to rate how much fear they feel/experience when in the presence of a spider/spiders using a scale from 0 (no fear at all) to 100 (extreme panic and fear). They were tested before and after the therapy. The ratings for each patient are as follows: For this question, be sure to do the following: ▪ State the statistical hypotheses (using the appropriate notation). ▪ Indicate whether the research hypothesis is non-directional or directional (and how you know). ▪ Set the decision rules, which will include: o State alpha - 0.05% o Compute the degrees of freedom o Providing the critical value for the test statistic…
- A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop. a. H0: μd = 0 versus H1: μd ≠ 0.b. H0: μd ≠ 0 versus H1: μd = 0. multiple choice a b Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532Papa's Italian Restaurant has collected data about customer sauce orders. It calculated that P(marinara) = 0.74, P(pesto) = 0.62, and P(marinara or pesto) = 0.93. Determine P(marinara and pesto). 0.46 0.43 0.19 0.31